## Hooke S Law Questions and Answers

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A spring has a natural length of 30 in. A force of 2000 lb stretches the spring to 40 in. How far beyond its natural length will a 500 lb force stretch the spring?

What is the spring constant for a mass spring system if the mass is 0.55 kg, and the frequency is 4.6 Hz?

A spring with a spring constant of 1.32 * 10^2 N/m is attached to a 2.0 kg mass and then set in motion. (a) What is the period of the mass-spring system? (b) What is the frequency of the vibration?

What will the frequency of the oscillation be when the mass is released?

What is the net force acting on the mass (enter first) and what is the effective spring constant?

A five-pound weight stretches a spring six inches. Calculate the work done in stretching the spring to another half foot.

A massless spring with a spring constant 15.7 N/m vertically. A body of mass 0.220 kg is attached to its free and then released. Assume that the spring was unstretched before the body was released....

An unstretched spring hangs from the ceiling with a length of 0.69 m. A 9.1-kg block is hung from the spring and the spring stretches to be 0.96 m long. How long will the spring be if a 2.5-kg bloc...

A compact car has a mass of 1390 kg. Assume that the car has one spring on each wheel, that the springs are identical, and that the mass is equally distributed over the four springs. A) What is the...

A 1.5 kg box that is sliding on a frictionless surface with a speed of 15 m/s approaches a horizontal spring. The spring has a spring constant of 2100 N/m. (A) If one end of the spring is fixed and...

A uniform 1.6-kg rod that is 0.77 m long is suspended at rest from the ceiling by two springs, one at each end of the rod. Both springs hang straight down from the ceiling. The springs have identic...

The suspension system of a 1800 kg automobile "sags" 13 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 50% each cycle. Estimate the values of: (a) the spring cons...

A 0.20-kg object is attached to the end of an ideal horizontal spring that has a spring constant of 120 N/m. The simple harmonic motion that occurs has a maximum speed of 1.5 m/s. Determine the amp...

An object of mass m is traveling on a horizontal surface. There is a coefficient of kinetic friction mu between the object and the surface. The object has speed v when it reaches x = 0 and encounte...

A spring has a spring support constant of 34 N/m. How much work is required to stretch the spring 2.3 cm from its equilibrium position?

A force of 5.0 N is required to stretch a certain spring by 1.0 cm. a.) How far must this spring be stretched for its potential energy to be 0.020 J? b.) How much stretch is required for the spring...

Two springs with spring constants k1 and k2 are connected parallel to each other to a block and a wall. The right ends of the springs are attached to the wall and the left ends of the springs are...

In an elevator which is accelerating downward at 2.5 m/s 2 , a 25-kg block hangs from a spring attached to the ceiling of the elevator. If spring gets stretched by 0.15 m, find its spring constant.

A 11.9 g of bullet is fired into a block of wood at 257 m/s. The block is attached to a spring that has a spring constant of 205 N/m. The block and the bullet continue to move, compressing the spri...

A spring with spring constant 12 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 9.5 cm and released. The ball makes 22 oscillations...

A 76.4 kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.23 \times 10^3 N/m. He ac...

Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke's law. In laboratory tests on a particular tendon, it was found that when a 249 g obje...

A 1 m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to stretch the spring from 1 m to 1.2 m?

A spring has an unstretched length of 14 cm. When an 83 g ball is hung from it, the length increases by 3.0 cm. The ball is then pulled down another 3.0 cm and released. (a) What is the spring cons...

A hand exerciser utilizes a coiled spring. A force of 105.0 N is required to compress the string by 0.0191 m. Determine the force needed to compress the spring by 0.0440 m.

H2, F2, and HCl have similar force constants. Rank them in the order of decreasing frequency of stretching vibration and explain.

A body of mass 5 kg slides a distance of 6 m down a rough inclined plane (30 degrees). Then it moves on frictionless horizontal surface and compresses a spring. The coefficient of kinetic friction...

A student places her 380 g physics book on a frictionless table. She pushes the book against a spring, compressing the spring by 7.80 cm, and then releases the book. What is the book's speed as it...

A spring is compressed 4.0 cm. How far must you compress a spring with twice the spring constant to store the same amount of energy?

A 0.50 kg metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.12 m to 0.23 m (relative to its unstrained length), the speed of the sphere decreases from 6.1 to 4...

A biologist hangs a sample of mass 0.595 kg on a pair of identical, vertical springs in parallel and slowly lowers the sample to equilibrium, stretching the springs by 0.175 m. Calculate the value...

A spring exerts a restoring force of 75.23 N. If the spring constant k is 56.31 N/m, what is the displacement of the spring (in units of m)?

There are two springs. Their spring constants are related by k1 greater than k2. When identical masses are oscillating on them, which one has a greater oscillation period?

An oscillating mass has a period of 0.89 s and a mass of 4.19 kg. What is the spring constant k (in units of N/m) of the string?

A 95.0-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.25 x 10^3 N/m. He acciden...

A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 12 cm. \\ A. For what total stretched length of the spring is its restoring force 3F? B. At...

An 82.6-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.32 x 103 N/m. He acciden...

1. A 64-kg gymnast stretches a vertical spring by 0.78 m when she hangs from it. How much energy is stored in the spring? \\ 2. The spring is cut into two equal lengths, and the gymnast hangs from...

Use Hooke's Law, which states that the distance a spring stretches (or compresses) from its natural, or equilibrium, length varies directly as the applied force on the spring. A force of 220 newton...

A spring is hung from the ceiling then a mass of 10 kg is attached to its other end. This causes the spring to stretch 3 cm. a) What is the spring constant of the spring? b) What is the "potential...

A 3.0-kg object is held 6.0 m above a relaxed massless vertical spring with a force constant of 500 N/m. The object is dropped onto the spring. A constant air resistance of 0.200 N acts on the obje...

A spring is characterized by a spring constant of 60N/m. How much potential energy does it store when stretched by 1 cm? a. 0.003 J b. 0.3 J c. 60 J d. 600 J

A force of 14 lb is required to hold a spring, stretched 2 in. beyond its natural length. How much work, W, is done, in stretching it, from its natural length, to 5 in. beyond its natural length?

A spring, with a spring constant of k = 12.7 N/m, supports a hanging mass, m. If the spring is displaced by 0.30 m from its equilibrium position, what is the hanging mass (in kilograms)?

A spring of negligible mass has force constant k = 1440 N/m. \\ A. How far must the spring be compressed for 3.21 J of potential energy to be stored in it? B. You place the spring vertically with...

A 76.7-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.99 \times 10^3 N/m. He ac...

A spring of negligible mass has force constant k = 1700 N/m. You place the spring vertically with one end on the floor. You then drop a book of mass 1.10 kg onto it from a height of 0.500 m above t...

A 60 kg student is standing atop a spring in an elevator that is accelerating upward at 3.1 m/s^2. The spring constant is 2300 N/m. By how much is the spring compressed?

A 1200-kg car moving on a horizontal surface has a speed of 55 km/h when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.3 m. What is the spring stiffness constant o...

A spring exerts a 13 N force after being stretched by 1.0 cm from its equilibrium length. By how much will the spring force increase if the spring is stretched from 5.0 cm away from equilibrium to...

Suppose a spring has a natural length of 20 cm, and 5 J of work is needed to stretch it from a length of 40 cm to a length of 50 cm. How far beyond its natural length will a force of 20 N keep the...

You find that it takes 5.00 J of work to stretch spring 1 by 10.0 cm, and 10.0 J is required to displace the second spring 2.50 cm. What is the ratio of the two spring constants, k2/k1?

A 72.0 N package of whole wheat flour is placed on the pan of a scale such as you find in grocery stores. The pan is supported from below by a vertical spring of force constant 625 N/m. If the pan...

A 72.0 N package of whole wheat flour is suddenly placed on the pan of a scale such as you find in grocery stores. The pan is supported from below by a vertical spring of force constant 625 N/m. If...

A car with a total mass of 1700 kg (including passengers) is driving down a washboard road with bumps spaced 5.1 m apart. The ride is roughest that is, the car bounces up and down with the maximum...

What is Hooke's law and why is it important?

A spring with spring constant k = 800 N/m is extended 12 cm from its equilibrium position. A spring with 6.0 cm extension from equilibrium will have the same potential energy as the first spring if...

An electron is confined in a harmonic potential well that has a spring constant of 10.5 N/m. What is the longest wavelength of light that the electron can absorb? Express your answer with the appro...

A biologist hangs a sample of mass 0.515 kg on a pair of identical, vertical springs in parallel and slowly lowers the sample to equilibrium, stretching the springs by 0.250 m. Calculate the value...

Suppose that 2 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 49 cm. (a) How much work is needed to stretch the spring from 40 cm to 45 cm? (b) How far beyo...

A spring has a spring constant, k of 81 N/m. How much must this spring be compressed to store 37 J of potential energy?

Suppose that 6 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 47 cm. (a) How much work is needed to stretch the spring from 34 cm to 39 cm? (Round your answ...

Two blocks with masses m1 = 2.8 kg and m2 = 3.2 kg are at rest on a frictionless surface with a compressed spring between them. The spring is initially compressed by 71.0 cm and has negligible mass...

A block is dropped onto a spring with k = 34 N/m. The block has a speed of 2.9 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest,...

A circular steel wire 1.95 m long must stretch no more than 0.20 cm when a tensile force of 440 Nis applied to each end of the wire. What minimum diameter is required for the wire?

Two identical, side-by-side springs with spring constant 280 N/m support a 3.00 kg hanging box. By how much is each spring stretched?

To stimulate car accidents auto manufacturers study the collision of moving cars with mounted springs of different spring constants. consider a typical simulation with a car of mass 1000 kg moving...

Suppose that 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 51 cm. \\ A. How much work is needed to stretch the spring from 44 cm to 49 cm? B. How far be...

Suppose that 2J of work are needed to stretch a spring from its natural length to a length 1m beyond its natural length. How much work is needed to stretch it from its natural length to a length 5m...

Explain the spring constant.

What is the formula for spring force?

A force of 2 N will stretch a rubber band by 2 cm (0.02 m). a. Assuming that Hooke's Law applies, how far will a 4-N force stretch the rubber band? b. How much work does it take to stretch the rubb...

What is spring constant in Hooke's Law?

What are the units for a spring constant?

What is the unit of a spring constant?

How do you calculate a spring constant?

Increasing the mass attached to spring will increase the angular frequency of its vibrations. True or False?

Increasing the mass attached to a spring will increase the period of its vibrations. True or false.

A massless spring, having a spring constant k = 8.75 N/m, is hung vertically. If the spring is displaced 0.150 m from it's equilibrium position, what is the force that the spring exerts?

A spring of negligible mass has force constant k = 1700 N/m. You place the spring vertically with one end on the floor. Then, you drop a book of mass 1.10 kg onto it from a height of 0.800 m above...

A spring exerts a restoring force of 10 N when stretched 5 cm and 20 N when stretched 10 cm. Assuming Hooke's law is valid for this spring, what is its spring constant?

A spring has a natural length of 1m. A force of 24 N stretches the spring to 1.8m. i) Find the force constant k. ii) How much work will it take to stretch the spring 2m beyond its natural length?

A spring on a horizontal surface can be stretched and held 0.4m from its equilibrium position with a force of 52 N. How much work is done in stretching the spring 5.5 m from its equilibrium position?

Find the work required to compress a spring from its natural length of 1 ft to a length of 0.75 ft if the force constant is k = 16 lb/ft.

1) What are the units of the spring constant k in SI units, which are also called MKS units (MKS = meter-kilogram-seconds)? What are the units in the CGS system (centimeter-gram-second)? 2) A given...

A hand exerciser utilizes a coiled spring. A force of 85.0 N is required to compress the spring by 0.0151 m. Determine the force needed to compress the spring by 0.0503 m.

A bungee jumping elephant leaps off a cliff with a stretchable cord tied around its ankle, and falls for 10 meters before the bungee cord begins to stretch. The elephant's mass is 5000 kg and we as...

The ball launcher in a pinball machine has a spring that has a force constant of 1.18 N/cm The surface on which the ball moves is inclined at 12.7^o with respect to the horizontal. If the spring is...

A system consists of a vertical spring with force constant k = 1,250 N/m, length L = 1.50 m, and object of mass m = 5.00 kg attached to the end. The objects are placed at the level of the point of...

Explain Hooke's Law.

A pot containing a plant weighing 10 N is hung from ceiling with a group of bungee cords. If pulled down and released, the pot oscillates vertically with period T = 5s. What is the effective force...

A particular spring has a force constant of 2.5 x 10^3 N/m. (A) How much work is done in stretching the relaxed spring by 6.0 cm? (B) How much more work is done in stretching the spring an additi...

When a 2.90-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.76 cm. (a) What is the force constant of the spring? (b) If the 2.90-kg object...

In a room that is 2.52 m high, a spring (unstrained length = 0.30 m)hangs from the ceiling. A board whose length is 1.96 m is attached to the free end of the spring. The board hangs straight down,...

A 100 coil spring has a spring constant of 438 N/m. It is cut into two shorter springs, each of which has 50 coils. One end of a 50-coil spring is attached to a wall. An object of mass 37 kg is att...

A particle with a mass of 0.500 kg is attached to a spring with a force constant of 50.0 N/m. At the moment, t = 0, the particle has its maximum speed of 20.0 m/s and is moving to the left. a) Det...

A 10-cm-long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm. a. What is the spring constant k? b. How long is the spring when a 3...

If 9.8 J of work are needed to stretch a spring 14 cm beyond equilibrium, how much work is required to stretch it 18 cm beyond equilibrium?

You're designing a toy rocket to be launched by a spring. The launching apparatus has room for a spring that can be compressed 14 cm, and the rocket's mass is 65 g. If the rocket is to reach an alt...

If it requires 7.0J of work to stretch a particular spring by 2.3 cm from its equilibrium length, how much more work will be required to stretch it an additional 3.5 cm?

The force required to stretch a Hooke's-law spring varies from 0 N to 51.6 N as we stretch the spring by moving one end 5.88cm from its unstressed position. Find the work done in stretching the spr...

The force required to stretch a Hooke's-law spring varies from 0 N to 51.6 N as we stretch the spring by moving one end 5.88cm from its unstressed position. Find the force constant of the spring. A...

A block of mass m = 1.7kg is dropped from height h = 51cm onto a spring of spring constant k = 860N/m. Find the maximum distance when the spring is compressed.

An unstretched spring with spring constant 18 N/cm is suspended from the ceiling. A 3.2 kg mass is attached to the spring and let fall. To the nearest tenth of a centimeter, how far does it stretch...

A block with 2 kg mass is pressed against a spring with k = 7200 N/m compressing it 10 cm. When the spring is released find: (a) the kinetic energy of the block after it leaves the spring (b) th...

A child's toy consists of a piece of plastic attached to a spring. The spring is compressed against the floor at a distance of 2.00 cm, and the toy is released. If the toy has a mass of 90 g and ri...

A block of mass 0.252 kg is placed on top of a light verticalvspring of force constant 5090 N/m and pushed downward so that thevspring is compressed 0.108 m. After the block is released fromvrest,...

A bungee jumper, whose mass is 86 kg, jumps from a tall building. After reaching his lowest point, he continues to oscillate up and down, reaching the low point two more times in 7.6 s. Ignoring ai...

A 10cm long spring is attached to the ceiling. When a 1.8kg mass is hung from it, the spring stretches to a length of 15cm. a) What is the spring constant k? (N/m) b) How long is the spring when...

A 5.0 kg mass hanging from a spring scale is slowly lowered onto a vertical spring. a) What does the spring scale read just before the mass touches the lower spring? (N) b) The scale reads 18 N w...

A vertical spring stores 0.956 J spring potential energy when a 3.5 kg mass is suspended from it. Calculate the spring potential energy when a 7.0 kg mass is attached to the spring.

The length of a spring increases by 7.2 cm from its relaxed length when a mass of 1.4 kg is hanging in equilibrium from the spring. (a) What is the spring constant? (b) How much elastic potential...

What is spring constant?

A particular spring has a force constant of 2.7 \times 10^3. How much mass would have to be suspended from the vertical spring to stretch it the first 6.0? How much more mass would have to be susp...

A cannonball of mass 125 kg is fired into a sponge-tree. What value of k must the sponge material have for the ball to come to a stop in the 0.2 m of sponge thickness? The initial velocity of the c...

A spring with a spring constant of 44.0 N/cm has a block attached to one end and the other end is fixed. How much work does the spring do on the block if the spring is stretched from relaxed length...

A particular spring has a force constant of 2.7 \times 10^3 N/m. a) How much mass would have to be suspended from the vertical spring to stretch it the first 6.0 cm? b) How much more mass would hav...

A 10.0 kg mass is placed on a frictionless, horizontal surface. The mass is connected to the end of a horizontal compressed spring which has a spring constant 339 N/m. When the spring is released,...

A spring with spring constant k = 15.0 N/m hangs vertically from the ceiling. A 1.20 kg mass is attached to the bottom end of the spring, and allowed to hang freely until it becomes stationary. The...

A light spring having a force constant of 125 N/m is used to pull a 13.0 kg sled on a horizontal frictionless ice rink. The sled has an acceleration of 2.20 m/s^2, by how much does the spring stret...

Consider a large spring, hanging vertically, with spring constant k = 3220 N/m. If the spring is stretched 25.0 cm from equilibrium and a block is attached to the end, the block stays still, neithe...

Spider silk is one of the most remarkable elastic materials known. Consider a silk strand suspended vertically with a 0.35-{\rm g} fly stuck on the end. With the fly attached, the silk measures 28....

A 987 g block is released from rest at the height h_0 above a vertical spring with spring constant k = 260 N/m and negligible mass. The block sticks to the spring and momentarily stops after compre...

A spring with a constant k = 80 N/m hangs vertically next to a ruler. The end of the spring is at 20 cm on the ruler (the 0 for the ruler is at the top of the spring). If a 3.5 kg mass is attached...

A 3 times 10^4 kg boat moves directly towards a dock with speed 0.5 m/s. The boat collides with thick upright wooden posts in front of the dock, which are designed to absorb the impact. The posts b...

A 2.37-kg mass is pushed against a horizontal spring of force constant 27.3 N/cm on a frictionless air table. The spring is attached to the tabletop, and the mass is not attached to the spring in a...

A spring supporting a railroad car has a natural length of 12inches, and a force of 8000 pounds compresses it 2 inches. Find: (a) The value of the constant k by applying Hooke's law. (b) The wo...

A 60 kg driver gets into an empty taptap to start the day's work. The springs compress 0.02 m. What is the effective spring constant of the spring system in the taptap?

A particular spring has a force constant of 1.7 x 10^3 N/m. How much work is done in stretching the relaxed spring by 6.0cm? How much more work is done in stretching the spring an additional 2.0 cm?

A mass and spring are arranged on a horizontal, frictionless table. The spring constant is k = 500 N/m, and the mass is 4.5 kg. The block is pushed against the spring so that the spring is compress...

A particular spring has a force constant of 2.5 x 10^3 N/m. (a) how much work is done in stretching the relaxed spring by 6.0 cm?

When a 2.70-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.06 cm. a) What is the force constant of the spring? (in N/m) b) If the 2.70-kg o...

A block of mass M is attached to a spring of spring constant K. A bullet of mass m is shot at the block and embeds itself in the block. The speed of the bullet is unknown. If the block and bullet c...

When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.27 cm. a) What is the force constant of the spring? b) If the 2.60-kg object is r...

When a 2.70-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.06 cm. A) What is the force constant of the spring? (in N/m) B) If the 2.70-kg ob...

A spring is displaced 25 cm from equilibrium with a 15 kg mass hanging vertically from it. If you add another 12 kg to the 15 kg that is hanging, what is the spring's displacement from equilibrium?

Spiderman uses his spider webs to save a runaway train. His web stretches a few city blocks before the 2.5 \times 10^4 kg train comes to a stop. Assuming the web acts like a spring, estimate the sp...

A horizontal spring is attached to a block with a mass of 8kg. The block is pulled out to a distance of 15cm with an external force of 200 N. If the mass is released (i.e. no more external force) f...

What should be the spring constant k of a spring designed to bring a 1,200 kg car to rest from a speed of 110 km/h so that the occupants undergo a maximum acceleration of 5.0 g

A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm. For what length of the spring is its restoring force 3F? Explain using appropriate eq...

On your first trip to Planet X, you happen to take along a 195 g mass, a 40-cm-long spring, a meter stick, and a stopwatch. You're curious about the acceleration due to gravity on Planet X, where o...

You find that if you hang a 1.95 kg weight from a vertical spring, it stretches 5.65 cm. a. What is the force constant of this spring in N/m? b. How much mass should you hang from the spring so i...

A proud deep-sea fisherman hangs a 66.1 kg fish from an ideal spring having negligible mass. The fish stretches the spring 0.124 m. a. What is the force constant of the spring? b. What is the perio...

A slingshot obeying Hooke's law is used to launch pebbles vertically into the air. You observe that if you pull a pebble back 2 cm against the elastic band the pebble goes 6 m high.

A vertical scale on a spring balance reads from 0 to 180 N. The scale has a length of 10.0 cm from the 0 to 180 N reading. A fish hanging from the bottom of the spring oscillates vertically at a fr...

The wheel of a sport car is suspended below the body of the car by a vertical spring with a spring constant 1.1 x 10^4 N/m. The mass of the wheel is 14 Kg and the diameter of the wheel is 61 cm.

You put a 56.7 gram mass on a spring, set it in motion with a small amplitude, and count 10 cycles. Those 10 cycles took 3.43 seconds. What is kSHM?

A vertical scale on a spring balance reads from 0 to 210 N. The scale has a length of 15.0 cm from the 0 to 210 N reading. A fish hanging from the bottom of the spring oscillates vertically at a fr...

Two identical springs of spring constant 7700 N/m are attached to a block of mass 0.250 kg. What is the frequency of oscillation on the frictionless floor?

A runaway railroad car with mass 3.0 \times 10^5 kg coasts across a level track at 2.0 m/s when it collides elastically with a spring-loaded bumper at the end of the track. If the spring constant o...

A block weighs 15 N and is suspended from a spring that is attached to the ceiling. The spring stretches by 0.075 m from its unstrained length. By how much does the spring stretch when a 31-N block...

An oscillating block-spring system has a mechanical energy of 1.00 J, amplitude of 9.3 cm, and a maximum speed of 1.34 m/s. (a) Find the spring constant. (b) Find the mass of the block. (c) Find th...

A spring is placed upon a solid flat surface. A 1.46 kg mass is carefully set onto the spring. The spring is observed to compress by 5.82 cm. Then, a 566 gram mass is carefully set on top of the fi...

A vertical scale on a spring balance reads from 0 to 200 N.The scale has a length of 10.0 cm from the 0 to 200 N reading. A fish hanging from the bottom of the spring oscillates vertically at a fre...

An oscillator consists of a block attached to a spring (k = 125N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x =...

A cylindrical rod of steel (E = 110 GPa) having a yield strength of 240 MPa is to be subjected to a load of 6660 N. If the length of the rod is 380 mm, what must be the diameter to allow an elongat...

A spring is placed upon a solid surface. a 1.46 kg mass is carefully set onto the spring. The spring is observed co press's 5.82 cm. Then a 566 g mass is carefully set on top of the first mass and...

An ideal spring obeys Hooke's law, F = kx. A mass of 0.50 kilogram hung vertically from this spring stretches the spring 0.075 meters. The value or the force constant for the spring is most nearly...

A spring is hung from the ceiling. A 0.300-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.170 m before momentarily coming to rest, after which i...

A weight, suspended from a spring, oscillates up and down. If the amplitude of the oscillation is doubled, the period will: \\ A) Remain the same B) Double C) Halve D) Increase by a factor of 4...

A mass of 445 grams is suspended by a spring. The spring stretches a distance of 5.60 cm under the load of the mass. What is the spring constant? Suppose that 125 g falls off the spring. What would...

A mass of 0.25 kg is attached to a spring and is set into vibration with a period of 0.18 s. What is the spring constant of the spring? Answer in units of N/m.

A student uses a force of 24.1 N to push on a 0.338 kg mass to compress a horizontal spring a distance of 0.115 m. When the student let's go of the mass, the spring uncompresses and shoots the mass...

A block of mass 0.464-kg is connected to a horizontal spring that is actually at its equilibrium length and has a force constant of 24.4 N/m. This specific block rests on a frictionless surface. No...

When a mass of 2kg is hung off spring, the spring stretches by 4cm. What is spring's constant? a) 5 N/cm \\b) 5 N/m \\c) 5 cm/N \\d) 5 m/N

A 2000 kg car rolls 50 meters down a frictionless 10 degrees incline. If there is a horizontal spring at the end of the incline, what spring constant is required to stop the car in a distance of 1 m.

When a 3.80 kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.60 cm. If the 3.80 kg object is removed, how far will the spring stretch if a 1....

If a spring were stretched 0.09 m by a force, how much added force would it take to stretch the spring from 0.09 m to 0.47 m? Spring constant is 9.7788 N/m.

The suspension system of a 2240 kg automobile "sags" 13 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 40% each cycle. Assume each wheel supports 560 kg. (a) Find...

A 4.7 kg block is accelerated from rest by a compressed spring of spring constant 640 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a...

While shopping you put several apples in the spring scale in the produce department. The scale reads 20 N, and you use your ruler (which you always carry with you) to discover that the pan goes dow...

As a 1.6 \times 10^4 \; kg jet plane lands on an aircraft carrier, its tailhook snags a cable to slow it down. The cable is attached to a spring with spring constant 6.4 \times 10^4 \; N/m. If the...

How do you compute the force constant of a spring? How do you find the time period of one complete cycle of vibration?

A 1 kg solid cylinder is connected a Hooke's law spring (k=150 n/m). The cylinder is displaced 20 cm to the left and released. The cylinder rolls without slipping. Find the maximum velocity of the...

A 0.505kg block slides on a frictionless horizontal surface with a speed of 1.18m/s. The block encounters an un-stretched spring and compresses 23.2cm before coming to rest. What is the force const...

I attach a 2.0-kg block to a spring that obeys Hookes Lawand supply 16 J of energy to stretch the spring. I release the block; it oscillates with period 0.30s. The amplitude is A) 38cm B) 19cm C)...

When a 2.50-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.69 cm. (a) What is the force constant of the spring? (b) If the 2.50-kg object i...

A cylinder is fitted with a piston, beneath which is a spring. The cylinder is open at the top. Friction is absent. The spring constant of the spring is 2500 N/m. The piston has a negligible mass a...

A 3.00 kg block is dropped from rest on a vertical spring whose spring constant is 750 N/m. The block hits the spring, compresses it, and then comes to rest, having fallen through a total vertical...

I attach a 2.0 kg block to a spring that obeys Hooke's Law and supply 16 J of energy to the stretch of the spring. I release the block; it oscillates with period 0.30s, what is the amplitude?

When a 88.0 kg person climbs into an 1500 kg car, the car's springs compress vertically 1.1 cm. What will be the frequency of vibration when the car hits a bump? (Ignore damping.)

When a 0.213 kg mass is attached to a vertical spring, it causes the spring to stretch a distance d. If the mass is now displaced slightly from equilibrium, it is found to make 102 oscillations in...

A 1620 kg car rolling on a horizontal surface has a speed of 70 km/hr when it strikes a horizontal coiled spring and is brought to rest at a distance of 5.5 m. What is the spring constant (in N/m)...

When a 0.70 kg mass is attached to a vertical spring, the spring stretches by 14 cm. How much mass must be attached to the spring to result in a 0.50 s period of oscillation?

A spring-powered dart gun is un-stretched and has a spring constant of 16.0 N/m. The spring is compressed by 8.00 cm and a 5.00-gram projectile is placed in the gun. What is the velocity of the pro...

Starting from rest, a 7 kg block is pulled through a distance of 4 m in 0.75 s on a frictionless horizontal surface. The block has a constant acceleration and is moved by pulling on the far end of...

A 0.300 kg block is placed on a light vertical spring (k = 5.00 \times 10^3 N/m) and pushed downward, compressing the spring 0.100 m. After the block is released, it leaves the spring and continues...

A 0.76 kg block is fastened to an unstrained horizontal spring whose spring constant is 88 N/m. The block is given a displacement of 0.14 m and then released from rest. a) What is the force that th...

In 7.50s, a 7.00 kg block is pulled through a distance of 4.00 m on a frictionless horizontal surface, starting from rest. The block has a constant acceleration and is pulled by means a of horizont...

A spring-loaded toy gun is used to shoot a ball straight up in the air. The ball reaches a maximum height H, measured from the equilibrium position of the spring. The same ball is shot straight up...

Hooke's law describes a certain light spring of unstretched length 32.0 cm. When one end is attached to the top of a door frame, and a 7.20-kg object is hung from the other end, the length of the s...

A tractor is trying to pull a 1 tonne trailer with a spring in the connection between them. The spring has a spring constant of 0.125 MN/m. The spring stretches by 80 mm. What is the acceleration o...

A 0.45-kg crow lands on a slender branch and bobs up and down with a period of 1.1 s. An eagle flies up to the same branch, scaring the crow away, and lands. The eagle now bobs up and down with a p...

A spring is hung from the ceiling. A 0.300-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.110 m before momentarily coming to rest, after which i...

A spring with k = 51 N/m hangs vertically next to a ruler. The end of the spring is next to the 20-cm mark on the ruler. If a 3.0-kg mass is now attached to the end of the spring, where will the en...

An archer pulls her bowstring back 0.370 m by exerting a force that increases uniformly from zero to 225 N. A) What is the equivalent spring constant of the bow? B) How much work does the archer do...

What kind of spring would have a large spring constant (large value of K)? And which would have a small spring constant?

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring. The spring is then cut into two halves. The 1.0-kg block is then made to oscillate at the end of one of the halve...

When a 2.80-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.06 cm. a) What is the force constant of the spring? (Answer in N/m) b) If the 2....

A block weighs 15 N and is suspended from a spring that is attached to the ceiling. The spring stretches by 0.075 m from its unstrained length. By how much does the spring stretch when a 36-N block...

A 0.54 kg object, suspended from an ideal spring of spring constant 27 \frac{N}{m}, is oscillating vertically. How much change of kinetic energy occurs while the object moves from the equilibrium p...

When a 4.34 kg mass is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.23 cm. If the 4.34 kg mass is removed, how far will the spring stretch, if a 1.55 kg...

Pushing on the pump of a soap dispenser compresses a small spring. When the spring is compressed by 0.45 cm , its potential energy is 0.0040 J. What is the force constant of the spring? What comp...

The scale of a spring balance reading from 0 to 175 N has a length of 14.5 cm. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 3.00 Hz. Ignoring the mass of the...

A vertical scale on a spring balance reading from 0 to 175 N has a length of 14.5 cm. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 3.00 Hz. Ignoring the mass...

A 0.44-kg air cart is attached to a spring and allowed to oscillate. You are given the displacement of the air cart from equilibrium to be x = (23.1 cm)cos((1.04s-1)t + pi). a. Find the maximum kin...

A spring has a natural length of 10 inches. An 800-lb force stretches the spring to 15 inches. How much work is done in stretching the spring from 10 inches to 12 inches? Use integrals to solve the...

Hooke's Law states that as a spring is stretched, the applied force increases? A)Linearly. B)Logarithmically. C)Inversely. D)Parabolically.

What is the spring constant of each spring if the empty car bounces up and down 2.0 times each second?

An object on a horizontal spring oscillates with a period of 1 s. If the object is suspended from the spring vertically, by how much is the spring stretched from its natural length when the object...

A person who weighs 804 N steps onto a spring scale in the bathroom and the spring compresses by 0.739 cm. a. What is the spring constant? b. What is the weight of a person who compresses the sprin...

A spring with a spring constant of 80.0 Newtons per meter is displaced 0.30 meter from its equilibrium position. The potential energy stored in the spring is which of the following? A) 3.6 J B) 7...

A 3.5 kg block is released from a compressed spring whose spring constant is 640 N/m. After leaving the the spring at the spring's relaxed length, the block travels over a horizontal surface with a...

A person who weighs 620 N steps onto a spring scale in the bathroom and the spring compresses by 0.84 cm. a. What is the spring constant? b. What is the weight of another person who compresses the...

A block is connected between two springs on a frictionless, horizontally level track. The other end of each spring is respectively anchored to a vertical pin set at opposite ends of the track. If t...

A 2.4-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. The elastic potential energy of the spring/mass system is 1.3 J. What is the elastic potentia...

A person who weighs 715 N steps onto a spring scale in the bathroom and the spring compresses by 0.833 cm. a) What is the spring constant? b) What is the weight of another person who compresses the...

A Hooke's law spring is compressed 0.2 m from equilibrium. The spring constant is 800 N/m. It is then released, driving a 2-kg sphere along a frictionless surface. What is the speed of the sphere?

A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall while the other end is connected to a movable object. The spring and object are compressed by 0.0...

A 2.9 kg block slides with a speed of 1.6 m/s on a frictionless horizontal surface until it encounters a spring. a.) If the block compresses the spring 4.8 cm before coming to rest, what is the fo...

When a 9.09 kg mass is placed on top of a vertical spring, thespring compresses 4.30 cm. Calculate the force constant of thespring.

A spring has a free length of 70 mm. Calculate the work done (J) compressing a spring from an initial length of 50 mm to a final length of 30 mm given a spring constant of k = 20 N/mm.

A spring has a natural length of 20 cm. If a 30-N force is required to keep it stretched to a length of 34 cm, how much work W is required to stretch it from 20 cm to 27 cm?

a. State Hooke's Law. b. When three people with a total mass of 2.00 times 102 kg step into their 1.200 times 103 kg car, the car's springs are compressed by 3.0 cm. b.1. What is the spring constan...

A spring-mass system with a 4-kilogram mass has a natural length of 1 meter and needs a force of 50 Newton to maintain

A spring-mass system with a 4-kilogram mass has a natural length of 1 meter and needs a force of 50 Newton

The figure gives the position as function of time, of 20 g block in simple harmonic oscillation on the end of a spring. The period of oscillations is 2.0 s. a. What is the amplitude of the oscillat...

A 2-kg block is launched up a frictionless inclined plane by a spring. The plane is inclined at 30 degrees, and the spring constant is 1000 N/m. The block is initially pushed against the spring in...

When a certain spring is expanded 7 centimeters from its natural position and held fixed, the force necessary to hold it is 1400 dynes. Find the work W required to stretch the spring an additional...

When a certain spring is expanded 9 centimeters from its natural position and held fixed, the force necessary to hold it is 1800 dynes. Find the work required to stretch the spring an additional 9...

Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 41 cm. (a) How much work is needed to stretch the spring from 32 cm to 37 cm? (Round your ans...

A non-linear spring obeys the modified Hooke's Law, F = -kxe^x, where F is the force in Newtons, k is 2 N/m, and x is horizontal displacement if the right end of the spring in meters measured from...

When a certain spring is expanded 8 centimeters from its natural position and held fixed, the force necessary to hold it is 1600 dynes. Find the work W required to stretch the spring an additional...

A spring with a spring constant 15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 9.5 cm and released. The ball makes 38 oscillatio...

If a force of 22 N stretches a spring 0.2 m beyond its natural length, how much work does it take to stretch the spring 5.5 m beyond its natural length?

A block of mass 7.5 kg hangs from a wire as shown in the figure. A spring of stiffness 3500 N/m pushes

A spring has k = 88 N/m. Use a graph to determine the work needed to stretch it from x = 3.5 cm to x = 5.5 cm, where x is the displacement from its unstretched length.

For medical reasons, astronauts in outer space must determine their body mass at regular intervals. Devise a scheme for measuring body mass in an apparently weightless environment.

A mass weighing 24 pounds, attached to the end of spring, stretched 4 inches. Initially, the mass is released from rest from a point 3 inches above the equilibrium position. Find the equation of mo...

The speed of a wave traveling along a spring: a. depends on the amplitude of the wave. b. depends on the frequency of the wave. c. depends on the tension in the spring. d. depends on the mass of...

A spring with a natural length of 8 cm measures 12 cm after the 150-N weight is attached. Find the work required to stretch the spring 6 cm from its natural length.

Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 45 cm. (a) How much work is needed to stretch the spring from 41 cm to 43 cm? __J (b) How far...

When a certain force is applied to an ideal spring, the spring stretches a distance x from its unstretched length and does work W. If instead twice the force is applied, what distance (in terms of...

A horizontal force of magnitude 127.5 N must be applied to the block shown in Figure 1, to hold block at x=+ 2.950 cm. From this position we move the block slowly at negligible speed so that force...

A spring has a natural length of 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching the spring from 30 cm to 40 cm. Use k for the sprin...

Suppose that 5 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 37 cm. (A) How much work is needed to stretch the spring from 31 cm to 35 cm? Round your answe...

An archer must exert a force of 320 N on the bowstring shown in the Figure (A) such that the string makes an angle of theta = 29.5 degrees with the vertical. (A) Determine the tension in the bowstr...

Suppose that 5\ \rm{J} of work is needed to stretch a spring from its natural length of 28\ \rm{cm} to a length of 49\ \rm{cm}. a. How much work is needed to stretch the spring from 36\ \rm{cm} to...

One end of a spring, of spring constant k, is attached to a wall and the other end is attached to a block of mass M. The block is pulled right stretching the spring from its equilibrium position an...

A block attached to a spring with unknown spring constant oscillates with a period of 1.0 s. (a) What is the period if the mass is doubled? (b) What is the period if the mass is halved? (c) What is...

A 800 kg safe is 1.9 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 58 cm . Part A What is the spring constant of the spring?

It takes 15 J of work to stretch a spring 5 cm beyond its natural length. How much work would be required to stretch it from 2 cm to 6 cm beyond its natural length?

A force of 265 Newtons stretches a spring 20 centimeters. How much work is done in stretching the spring from15 centimeters to 25 centimeters?

Work of 3 Joules is done in stretching a spring from its natural length to 15 cm beyond its natural length. What is the force (in Newtons) that holds the spring stretched at the same distance (15 c...

A force of 6 N is required to hold it at a length of 6 m, 3 m longer than its natural length. How much work (in Newton-meters) is required to stretch it from its natural length of 3 m to a length o...

A spring has a natural length of 28 cm. If a 23-N force is required to keep it stretched to a length of 42 cm, how much work W is required to stretch it from 28 cm to 35 cm?

A force of 20 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching it from its natural length to 11 in. beyond its natural length?

In a room that is 2.41 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A board whose length is 1.94 m is attached to the free end of the spring. The board hangs straight down,...

The loading dock at the Walmart where you work has a bumper to protect it from mistakes by truck drivers. One icy day a truck with a total mass of 4000 kg is backing into the dock at 1.50 m/s when...

A spring has a natural length of 20 cm. If a 25-N force is required to keep it stretched to a length of 30 cm, how much work W is required to stretch it from 20 cm to 25 cm? (Round your answers to...

A load of 88.4 kg is supported by a wire of length 2.17 m and cross-sectional area 0.0868 cm^2. The wire is stretched by 0.151 cm. a) Find the tensile stress. The acceleration of gravity is 9.8 m/s...

A 2.16-kg object on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 5.00 N/m. The object is displaced 3.28 m to the right from its equilibrium...

Two massless springs with spring constants 9 N/m and 9 N/m are hung from a horizontal support. A block of mass 2 kg is suspended from the pair of springs, as shown. When the block is in equilibrium...

An object is suspended from spring 1, and the springs elongation (the distance it stretches) is X1. Then the same object is removed from the first spring and suspended from a second spring. The elo...

Find and graph the motion of a damped mass-spring system with mass m = 0.25 slugs, spring constant k = 4 lb/ft and damping constant b = 1 lb sec/ft. The mass is initially pulled to the right, stret...

It took 1800 J of work to stretch a spring from its natural length of 2m to a length of 5m. Find the spring's force constant.

An object with mass m is hanging from a spring with spring constant, k, and the whole system is at rest. Now suppose another mass m is added below the first mass hanging from the spring. Find the w...

In the figure below, two springs are attached to a block that can oscillate over a floor. If the left spring is removed, the block oscillates at a frequency of 21 Hz. If, instead, the spring on the...

Eight and one-half foot-pounds of work is required to compress a spring 2 inches from its natural length. Find the work required to compress the spring an additional one-half inch.

Use Hooke's Law to determine the variable force in the spring problem: A force of 5 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compressing the spring 7 inches?

A force of 12 N will stretch a rubber band 12 cm (0.12 m). Assuming that Hooke's law applies, how far will a 10-N force stretch the rubber band? How much work does it take to stretch the rubber ban...

A 0.500-kg mass on a spring has velocity as a function of time given by v_x (t) = -(3.60 cm/s) sin((4.71 rad/s)t - (\pi/2)). What are (a) the period; (b) the amplitude; (c) the maximum acceleration...

A spring has damping constant 14, and a force of 12 N is required to keep the spring stretched 0.5 m beyond its natural length. Find the mass that would produce critical damping.

Given that a spring with a mass of 2 kg has damping constant 12, and a force of 8.75 N is required to keep the spring stretched 0.5 m beyond its natural length. The spring is stretched 2 m beyond i...

Which law should be used to solve the question below: A load of 45 N attached to a spring that is hanging vertically stretches the string 0.14 m. What is the spring constant?

A spring is hanging from the ceiling. Attaching a 500 g mass to the spring causes it to stretch 20.0 cm in order to come to equilibrium. a. What is the spring constant? b. From equilibrium, the m...

Two blocks with masses M and 3Mare placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocksare pushed together with the spring between them. A cord in...

An archer must exert a force of 480 N on a bowstring such that the string makes an angle of 36.5 degrees with the vertical. (a) Determine the tension in the bowstring. (b) If the applied force is...

A 3 kg object stretches a spring by 16 cm when it hangs vertically in equilibrium. The spring is then stretched an additional 5 cm and the object is released. When the mass is at its maximum displa...

A force of 1250 pounds compresses a spring 5 inches from its natural length. Find the work done in compressing the spring 8 additional inches.

A spring with an m-kg mass and a damping constant 2 can be held stretched 2 meters beyond its natural length by a force of 4 newtons. If the spring is stretched 4 meters beyond its natural length a...

Suppose that 3 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 49 cm. a) How much work is needed to stretch the spring from 40 cm to 45 cm? b) How far beyond...

Suppose that 3 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 51 cm. a. How much work is needed to stretch the spring from 41 cm to 49 cm? b. How far beyond...

Suppose that 4 J of work is needed to stretch a spring, from its natural length of 30 cm, to a length of 47 cm. a) How much work is needed to stretch the spring, from 35 cm, to 43 cm? (Round your a...

A spring has a natural length of 10 cm. If a 27-N force is required to keep it stretched to a length of 18 cm, how much work, W, is required to stretch it, from 10 cm, to 14 cm? (Round your answer...

A small ball is attached to one end of a spring that has an unstrained length of 0.261 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle, at a speed of 2...

A spring has a natural length of 28 cm. Compare the work, W1, done in stretching the spring, from 28 cm to 38 cm, with the work, W2, done in stretching it, from 38 to 48 cm. (Use k for the spring c...

Stretched 3 meters beyond its natural length, a certain spring exerts a restoring force of magnitude 72 newtons. How much work W does it take to stretch the spring 4 meters beyond its natural length?

Do side-by-side rubber bands provide a convenient way of accurately reproducing forces of many different sizes? Explain.

Suppose that a spring has a natural length of 30 cm, and that 8 J of work is needed to stretch, from a length of 55 cm, to 65 cm. How far beyond its natural length will a force of 32 N keep the spr...

If a uniform spring is cut in half, what is the force constant of each half? Justify your answer. How would the frequency of SHM, using a half-spring, differ from the frequency, using the same mass...

A spring with an m kg mass and a damping constant 2 kg/s can be held stretched 2 m beyond its natural length by a force of 4 N. If the spring is stretched 4 m beyond its natural length and then rel...

A mass of 2.62 kg stretches a vertical spring of 0.320 m. If the spring is stretched an additional 0.130 m and released, how long does it take to reach the (new) equilibrium position again?

A force of 1 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 1 feet beyo...

Four people, each with a mass of 71.7 kg, are in a car with a mass of 1130 kg. An earthquake strikes. The driver manages to pull off the road and stop, as the vertical oscillations of the ground su...

A pen contains a spring with a spring constant of 250 N/m. When the tip of the pen is in its retracted position, the spring is compressed 5.0 mm from its unstrained length. In order to push the tip...

A block weighing 22 N oscillates at one end of a vertical spring for which k = 130 N/m; the other end of the spring is attached to a ceiling. At a certain instant the spring is stretched 0.23 m bey...

In a room that is 2.80 m high, a spring (unstrained length = 0.30 m) hangs from the ceiling. A board whose length is 2.00 m is attached to the free end of the spring. The board hangs straight down...

A mass-spring system is in SHM in the horizontal direction. If the mass is 0.25 kg, the spring constant is 12 N/m, and the amplitude is 15 cm, (a) what is the maximum speed of the mass, and (b) whe...

When a body of unknown mass is attached to an ideal spring with force constant 120 N/m, it is found to vibrate with a frequency of 6.00 Hz. Find (a) the period of the motion; (b) the angular freque...

When a mass is attached to a vertical spring, the spring is stretched a distance d. The mass is then pulled down from this position and released. It undergoes 59 oscillations in 27.0 s. What was th...

Two identical 0.900-kg masses are pressed against opposite ends of a light spring of force constant 1.75 N/cm, compressing the spring by 20.0 cm from its normal length. Find the speed of each mass...

A block of weight W = 14.5 N, which can slide without friction on a 45^{\circ} incline, is connected to the top of the incline by a massless spring of unstretched length x_0 = 0.48 m and spring con...

When a 0.750-kg mass oscillates on an ideal spring, the frequency is 1.75 Hz. What will the frequency be if 0.220 kg are (a) added to the original mass and (b) subtracted from the original mass?

A 2.00-kg frictionless block attached to an ideal spring with force constant 315 N/m is undergoing simple harmonic motion. When the block has displacement +0.200 m, it is moving in the negative x-d...

In a physics lab, you attach a 0.200-kg air-track glider to the end of an ideal spring of negligible mass and start it oscillating. The elapsed time from when the glider first moves through the equ...

A single mass m_1 = 4 kg hangs from a spring in a motionless elevator. The spring is extended x = 12 cm from its unstretched length. 1) What is the spring constant of the spring? 2) Now, three mass...

A mass m on the end of a spring oscillates with angular frequency (omega). The mass is removed, the spring is cut in two, and the mass is reattached. What is the new angular frequency?

A 0.250 kg mass is attached to a horizontal spring of spring constant 140 N/m, supported by a frictionless table. A physics student pulls the mass 0.12 m from equilibrium, and the mass is then let...

An object attached to a spring vibrates with simple harmonic motion as described by the figure. For this motion, find (a) the amplitude, (b) the period, (c) the angular frequency, (d) the maximum s...

Suppose that 4J of work is needed to stretch a spring from its natural length of 26 \ cm to a length of 38 \ cm. a. How much work is needed to stretch the spring form 28 \ \cm to 36 \ cm? (Round yo...

What is a perfect spring in physics?

The following is an engineering stress (?) versus engineering strain (?) curve for an engineering material. The stress and strain at points A, B, C, D, E are (?e = 38 kpsi, ?e =0.0013), (?e =36 kps...

A brick of weight 2 lbf is initially moving down at a velocity of 3 ft/s. The brick free-falls 2 ft before it hits an unstretched spring of length 1 ft and stiffness 50 lbf/ft. (a) How much does t...

A spring of a car has a spring constant of 155 N/m. What is the force needed to stretch the spring by 5.00 cm from its original length?

The mass less spring of a spring gun has a force constant k = 12 N/cm. When the gun is aimed vertically up, a 15 g projectile is shot to a height of 5.0 m above the end of the expanded spring. How...

A 77 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 4.8 m/s. a. How fast is he going as he lands on the trampoline, 2.0 m below? b. If the trampoline behav...

In Hooke's law, at what point does the mass have its maximum momentum?

The length of a spring increases by 7.20 cm from its relaxed length when a mass of 1.39 kg is hung in equilibrium from the spring. The mass is removed, and another mass is hung from the spring, str...

An archer must exert a force of 375 N on the bowstring shown in the figure such that the string makes an angle of \theta = 35.0^\circ with the vertical. (a) Determine the tension in the bowstring....

A spring is stretched from its equilibrium position at x = 0 to a positive coordinate x_0. The force on the spring is F_0 and it stores elastic potential energy PE_{s0}. If the spring constant is d...

Graph #1 is a parabola. Graph #2 is a hyperbola. a. Only graph 1 may possibly represent Hooke's law b. Only graph 2 may possibly represent Hooke's law c. neither

A 0.05 kg toy is made up of a spring of constant 466 N/m . When you place the toy on the floor, cock the spring 5 cm and release it, the toy jumps upwards. What is the spring potential ene...

The spring of the pressure gauge shown in the figure below has a force constant of 1000 N/m, and the piston has a diameter of 1.00 cm. As the gauge is lowered into water in a lake, what change in d...

Luke is trying to catch a pesky animal that keeps eating vegetables from his garden. He is building a trap and needs to use a spring to close the door to his trap. He has a spring in his garage and...

A block is attached to a spring. The un-strained position of the spring is x = 0\ m. The block is moved from an initial position x_o to a final position x_f. Suppose the spring has a spring constan...

How does a stiffer spring affect the spring constant?

In the figure, a 10 lb weight is suspended from two spring scales, each of which have negligible weight. Which of the following is correct and why? a. Each scale will read 5 lb. b. Each scale will...

Assuming you have a bow that behaves like a spring with a spring constant of 150 N/m and you pull it to a draw of 51 cm. a. How much work do you perform? b. What is the speed of a 52 g arrow when i...

Fill in the blank: If a solid is stretched or compressed beyond the point that it can return to its original shape, it has passed its.

A robot arm expends 15 J of work to extend a spring 10 cm from its equilibrium position. How much force is required?

A block of mass m is released from rest on the frictionless incline. After sliding a certain distance, it compresses a spring and comes to rest at a distance of y beneath its original position. How...

The length of a spring is alpha when a force of 4, N is applied on it. The length is beta when a force of 5, N is applied then the length of spring when 9, N force is applied is .... a. 5...

A mass-on-a-spring system has m = 54 kg and k = 225 N/m. The mass is pulled a distance 0.25 m from its equilibrium position and then released. (a) What is the maximum acceleration of the mass? (b...

The spring is compressed against the floor a distance of 1.6\ \rm{cm} and released. If the spring constant is 60\ \rm{N/m}, what is the magnitude of the spring force acting on the toy at the moment...

The stored potential energy in the trampoline at maximum compression is \frac{1}{2} k X^2. It equals the gravitational potential energy at maximum height = MgH. (\frac{1}{2} k X^2 = MgH, Kinetic en...

A mass of 5.00 \ kg is dropped from a height of 2.20 meters above a vertical spring sitting on a horizontal surface. Upon colliding with the spring the mass compresses the spring \Deltax = 30.0 \ c...

How do you determine the force constant of spring when given the mass of an object being hung vertically, and the distance the spring stretches?

If a 65\ \mathrm{kg} mass drops vertically onto a spring with stiffness coefficient of 6.2\times 10^4\ \mathrm{N/m}, how far does it depress the spring?

A mass M = 0.464 kg moves with an initial speed v = 2.98 m/s on a level frictionless air track. The mass is initially a distance D = 0.250 m away from a spring with k = 844 N/m, which is mounted ri...

A horizontal spring mass system is set up to keep time so that it goes from one side to the other in 6 seconds. The mass used in this system is 0.69 \ kg. The distance from one side to the other is...

A perforated bead of mass 37 g moves on a frictionless horizontal circular track of radius R = 0.65 m. The track runs through the bead. When the bead is at rest in the horizontal position, it is ti...

You are given the following information about a spring: mass = 20.0 kg; initial height = 5.25 m (above the ground); final height = 2.17 m (above the ground with the mass attached); initial Delta y...

A particle of mass m moves along a trajectory given by x = a cos delta 1, t and y = a sin delta 2, t . Find r and y component of the force acting on the particle, potential energy, kin...

A cylindrically shaped piece of collagen (a substance found in the body in connective tissue) is being stretched by a force that increases from 0 to 0.0436 , N . The length and radius of the col...

An elastic band is stretched a distance of 0.150, m by a force of 100.0, N . Find the spring constant.

A horizontal spring is compressed a distance 8cm from its equilibrium position and released against a ball of mass 50 g which is propelled away from the spring at 5 ms-1. A) Calculate the spring c...

A stairwell is supported by two circular steel rods at one end. The other end supported above. The two steel rods are subjected to a total load of 12,800 lbs. The rods are 24 ft long and E = 30 x 1...

A spring has a spring constant "k" of 160 N/m. How much must this spring be compressed (in meters) to store 70 J of energy?

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block i...

An 8.00 kg block is placed on a rough horizontal surface and connected to a spring of spring constant 100 N/m. The spring is then stretched by some distance A and released. The block will begin to...

If a mass of 65\ \mathrm{kg} is dropped 4.3\ \mathrm{m} onto a spring with a stiffness coefficient of 6.2\times 10^4\ \mathrm{N/m}, how far is the spring depressed?

Box, mass m_1, at rest against a compressed spring, spring constant k and compression of \Delta x, at the top of a ramp, height h,is released. It slides down the ramp, angle \theta, with friction,...

A mass oscillates with a period of 2.8 s on the end of a spring that has a spring constant of 75 N/m. What is the magnitude of the mass?

A block (mass m) hangs from a spring (spring constant k). The block is released from rest a distance d above its equilibrium position. a. What is the speed of the block as it passes through the eq...

A 70\ \mathrm{kg} wannabe stuntman, at the edge of a roof top, jumps vertical up with a speed of 4\ \mathrm{m/s} and falls on a trampoline 2 meters below where he started. If the trampoline acts li...

Given the following about a spring: initial height = 5.25 m (above the ground), mass attached = 20.0 kg, final height = 2.17 m (above the ground with the mass attached), \Delta y initial = 0.00 m....

What is the value for k if a spring stretches 0.4 m when submitted to an 1800 N force?

A spring of force constant k is cut into two parts whose lengths are in the ratio 1:2.The parts are now connected in parallel and a block of mass m is suspended at the end of the combined spring. F...

Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. How much work (in J) is needed to stretch it from 35 cm to 40 cm?

A force of 1 pound is required to hold a spring stretched 0.2 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet bey...

A spring has a natural length of 24 cm. If a 28-N force is required to keep it stretched to a length of 30 cm, how much work W is required to stretch it from 24 cm to 27 cm?

A force of 12 lb is required to hold a spring stretched 8 inches beyond its natural length. How much work W is done in stretching it from its natural length to 13 inches beyond its natural length?

Four people sit in a car. The masses of the people are 41\ \mathrm{kg}, 47\ \mathrm{kg}, 53\ \mathrm{kg}, and 55\ \mathrm{kg}. The car's mass is 1020\ \mathrm{kg}. When the car drives over a bump,...

An object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at the end of the track. The spring constant is 38.6, N/m , the mass of the...

Define the Hooke's Law and give an example that illustrates your definition. In addition, how does your example use this this law? State the formula and measurement unit that is commonly used.

A spring balance has a scale that reads from 0 to 50\ \mathrm{kg}.The length of the scale is 20\ \mathrm{cm}. A body suspended from this balance,when displaced & released, oscillates with period of...

You have a spring that has a mass of 100 g and a constant of 22 N/m with an amplitude of 5 cm. Find the total energy, the max velocity, and the max force.

True or False: The work required to stretch a spring changes linearly with the amount of stretch.

If a load, 1\ \mathrm{kg}, stretches a cord by 1.2\ \mathrm{cm}. What is the force constant of the cord?

A block with a mass m = 3.50\ \mathrm{kg} sits on a surface with a coefficient of static friction \mu s = 0.520. A spring with spring constant k = 75.0\ \mathrm{N/m} is hooked onto the block, and i...

A cylindrical shaped piece of collagen is being stretched by a force that increases from 0 to 3.0 \times 10^{-2} N. The length and radius of the collagen are respectively 2.5 and 0.091 cm and Young...

A spring, which has a spring constant k, is hung from the ceiling as shown below. A mass m = 3.00 \ kg is added to the end of the spring and is then slowly lowered until equilibrium is reached. At...

A 3.65\ \mathrm{kg} mass is hung from a spring with a k constant of 535.0\ \mathrm{N/m}. How far does the spring stretch?

A 50.0-kg girl bounces up and down on a pogo stick. The girl has an instantaneous acceleration of 2.0 m/s^2 when the displacement is -8.0 cm. What is the spring constant of the pogo stick's spring?

Which requires more work: stretching a strong spring a certain distance or stretching a weak spring the same distance? Why?

A spring 23.1 c m long is stretched to 25 c m by a load of 48 N . What will be its length when stretched by 85 N assuming that the elastic limit is not reached?

A single mass m_1 = 4.6 \ kg hangs from a spring in a motionless elevator. The spring is extended x = 15 \ cm from its unstretched length. What is the spring constant of the spring?

A spring has a spring constant "k" of 160\ \mathrm{N/m}. How much must this spring be compressed (in meters) to store 70\ \mathrm{J} of energy?

A 1.50 \ kg mass on a spring has displacement as a function of time given by x(t) = (7.40 \ cm) \cos [(4.16 \ rad /s)t - 2.42 \ rad]. Find the force constant of the spring.

A 68.0 \text{ kg} bungee jumper jumps from a height of 40.0 \text{ m} . The bungee cord is 15.0 \text{ m} long when unloaded. At this jump, the cord stretches 2.4 \text{ m}...

A mass m = 13 \ kg is connected to two different springs, one on the left and another on the right. It is displaced a distance x to the right from its equilibrium position. (Take k_1 = 115 \ N/m an...

The total length of a spring is 0.25 \ m. What it is unstretched and 0.30 \ m when a force of 17.82 \ N is applied to it. What will be the length when 26.72 \ N is applied to it?

A man steps on his bathroom scale and obtains a reading of 243 lb. The spring in the scale is compressed by a displacement of -0.0480 inches. Calculate the value of its spring constant in: (a) poun...

A 96.1\ \mathrm{g} ball is dropped from a height of 59.1\ \mathrm{cm} above a spring of negligible mass. The ball compresses the spring to a maximum displacement of 4.75403\ \mathrm{cm}.The acceler...

A bathroom scale is compressed 0.08\ \mathrm{in} when a 240\ \mathrm{lb} person stands on it. Assuming that the scale behaves like a spring that obeys Hooke's Law, how much does someone who compres...

A block of wood is compressed 2.0\ \mathrm{nm} when inward forces of magnitude 120\ \mathrm{N} are applied to it on two opposite sides. a. Assuming Hooke's law holds, what is the effective spring...

A force of 9 \ lb is required to hold a spring stretched 3 \ in beyond its natural length. How much work W is done in stretching it from its natural length to 8 \ in beyond its natural length? Acc...

A crate of mass 0.812\ \mathrm{kg} is placed on a rough incline of angle 35.3 degrees. Near the base of the incline is a spring of spring constant 1140\ \mathrm{N/m}. The mass is pressed against th...

A 46.5\ \mathrm{kg} block sits at rest on a frictionless, horizontal surface. It is connected horizontally, via a massless, ideal spring to a stationary wall. A force is then used to displace and h...

Which requires more work: streching a strong spring a certain distance or streching a weak spring the same distance? Why?

A 5.00 \ kg carrying a charge of Q=60 \ \mu C is connected to a spring for which k=100 \ N/m. The block lies on a frictionless horizontal track and the system is immersed in a uniform electric fiel...

A small ball with a mass of 30.0 g is loaded into a spring gun, compressing the spring by 13.0 cm. When the trigger is pressed, the ball emerges horizontally from the barrel at a height of 2.30 m a...

A force of 5N extend a spring of natural length 0.5 m by 0.01 m. what will the length of the spring be when a force 20N is applied?

An automobile of mass 2000, kg is driven into a brick wall in a safety test. The bumper behaves like a Hooke's-law spring. It has an effective spring constant of 5 times 10^6, N/m , and is obse...

An iron block of the mass 1 kg is suspended on a spring of the spring constant 140 N/m and merged into a vessel with 8 liters of water. The mass is displaced by 10 cm from its equilibrium position...

An 85,kg person bounces on a bathroom scale having a force constant of 1.50 ast 10^6, N/m . The amplitude of the bounce is 0.200, cm . What is the maximum energy stored in the spring?

A 0.44\ \mathrm{kg} object connected to a light spring with a spring constant of 22.0\ \mathrm{N/m} oscillates on a frictionless horizontal surface. The spring is compressed 4.0\ \mathrm{cm} and re...

Describe the energy changes that occur during one oscillation of the simple harmonic oscillator shown in figure 4.1.

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