Classical Mechanics

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Classical Mechanics Questions and Answers

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A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591 N. As the elevator later stops, the scale reading is 391 N. Assume the magnitude of the ac...
A light string has its ends tied to two walls separated by a distance equal to five-eighths the length of the string. A 53 kg mass is suspended from the center of the string, applying tension in th...
You are driving at the speed of 33.4 m/s (74.7296 mph) when suddenly the car in front of you (previously traveling at the same speed) brakes. Considering an average human reaction, you press your b...
When you lift a ball with a force of 82 N, the ball accelerates upward with an acceleration of a. If you lift with a force of 92N, the ball's acceleration is 2a. Find the weight of the ball, and th...
Identify the action-reaction pairs of forces for the following situations. 1) You step off a curb. 2) You pat your tutor on the back. 3) A wave hits a rocky shore.
The standard 1 kg mass is attached to a compressed spring and the spring is released if the mass initially as an acceleration of 5.6 m / s 2 calculated the magnitude of the force of the spring.
A 150-g baseball is dropped from a tree 15.0 m above the ground. With what speed would it hit the ground if air resistance could be ignored? If it actually hits the ground with a speed of 7.00 m/s,...
1. Find the limit: a) \lim_{x\rightarrow 4^{-}} \frac{1}{x - 4} b) \lim_{x\rightarrow {3^{-}}^{-}} \frac{x^{2} + 2x - 3}{x^{2} + x - 6} c) \lim_{x\rightarrow {1/2^{-}}^{-}}x\sec (\pi \cdot...
A 200 kg box is suspended by a cable through four frictionless pulleys and 2 drums at E and F with coefficient of friction between the drum and the rope of 0.2. Assuming the pulleys and drums are a...
Two blocks with masses m1 = 1.40 kg and m2 = 3.00 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper bl...
Three blocks are connected on the table as shown below. The coefficient of kinetic friction between the block of mass m2 and the table is 0.370. The objects have masses of m1 = 5.00 kg, m2 = 1.40 k...
In the Figure the pulley has negligible mass, and both it and the inclined plane are frictionless. Block A has a mass of 1.3 kg, block B has a mass of 2.7 kg, and angle \theta is 26^o. If the block...
The force shown in the force vs. time diagram in the figure below acts on a 1.10 kg object. Find the impulse of the force exerted on the ball.
In the drawing, the weight of the block on the table is 380 N and that of the hanging block is 175 N. Ignore all frictional effects, and assuming the pulley to be massless. What is the acceleration...
In the figure, point P is on the rim of a wheel of radius 2.0 m. At time t = 0, the wheel is at rest, and P is on the x-axis. The wheel undergoes a uniform counterclockwise angular acceleration of...
A block of mass m_1 = 37.5\ kg is hung from a rope that goes over an ideal pulley. The other end of the rope is attached to a block of mass m_2 = 45.25\ kg that sits on an inclined plane at an angl...
A block of mass m_1 = 6\ kg on a rough, horizontal surface is connected to a ball of mass m_2 = 1.5\ kg by a light weight cord over a light weight, frictionless pulley as shown. A force of magnitud...
What is the vertical component of a 100 pound force applied at 30 degrees above the horizontal?
A stone is dropped from the edge of a roof, and hits the ground with a velocity of 100 feet per second. How high is the roof?
A spring in equilibrium is 8m long. A spring force of 20 N stretches it to 12 m. How much work was done stretching this spring from equilibrium to 12 m?
A rock is dropped form the edge of a cliff 15.0 m high. How long does it take to reach the bottom of the cliff?
What is the normal force acting a 800kg car if there are two 55kg people sitting inside the car?
A 1kg cart is moving at 6m/s to the right. It hits a 2kg cart moving the other direction at 1m/s and sticks to it. How fast and in what direction does the combined cart move after the collision?
A force is applied to a 1.5 kg mass and produces 5.5 m/s2 acceleration. What acceleration would be produced by the same force applied to a 12.3 kg mass?
A rock is dropped from a bridge and lands in the water below after 3.5 seconds. About how high is the bridge?
A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 30 ft/s^2. What is the distance covered before the car comes to a stop?
How long will it take for an object 324 feet in the air to reach the ground?
A 850 kg car drives down a 3 degree slope. If the car starts at rest and the engine provides a maximum force of 1060 n, how long does it take for the car to travel 200 m?
A rope is used to lift a 5kg mass at a spead of 1.5m/s. What is the tension?
If the brakes supply 7000n of stopping force, calculate how far the car goes before it stops.
A 45kg swimmer, starting from rest, can develop a maximum speed of 12m/s over a distance of 20m. How much net force must be applied to do this?
What is the frequency of light having a wavelength of 456 nm?
A force is applied to a 1.2 kg mass and produces 2.9 m/s2 acceleration. What acceleration would be produced by the same force applied to a 6.8 kg mass?
A body moving with uniform acceleration has a velocity of 12.2 cm/s when its x coordinate is 3.72 cm. If its x coordinate 2.75 s later is -6.52 cm, what is the x-component of its acceleration?
A block weighing 5 N requires a force of 2.6 N to push it along at constant velocity. What is the coefficient of friction for the surface?
A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 76 feet per second. How high will the ball go? (round your answer to two decimal places.)
If you throw up a ball, after 4 seconds it return back to your hands, what is the height of this ball from your hands to the highest position?
You throw a ball upward from a window at a speed of 2.2 m/s. How fast will it be moving when it hits the sidewalk 2.4 m below?
A stone was dropped off a cliff and hit the ground with a speed of 96 ft/s. What is the height of the cliff?
A spring has a constant of 113 N/m. How much elastic potential energy is stored in the spring when it is compressed by 0.03 m?
What total force resists the motion of the car, boat, and trailer if the car exerts a 2550 N force on the road and produces an acceleration of 0.65 m/s2? The mass of the boat plus trailer is 500 kg.
A car travelling at 30m/s must stop within 10 meter to avoid a crash. What magnitude of force must the brakes exert on the car?
Suppose a paddleboat can move at a speed of 20 km/h in still water. The boat is paddled 16 km downstream in a river in the same time it takes to go 8 km upstream. What is the speed of the river?
The traffic on the freeway is moving at a constant speed of 22 m/s. What distance does the traffic travel while the car is moving the length of the ramp?
An object is dropped from rest. What is the acceleration after 7 s? The acceleration of gravity is 9.8 m/s2. Answer in units of m/s2.
If a sprinter running at 6 m/s accelerates at a constant rate of 4 m/s2 over a distance of 8 m, how fast will he be running after the acceleration?
A paddleboat can move at a speed of 20 km/h in still water. The boat is paddled 16 km downstream in a river in the same time it takes to go 8 km upstream. What is the speed of the river?
If a car, which weighs 2200 lbs (998 kg), crashes into a wall, what is the impulsive force if the car goes from 30 mph (~48 km/h) to 0 mph in 0.25 seconds?
Three objects are connected on a table as shown in the figure. The coefficient of kinetic friction between the block of m2 and the table is 0.350. The objects have masses of m1=4.00 kg, m2=1.00 kg...
An executive drove from home at an average speed of 40 \ \mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at and average spe...
A(n) 6 kg object moving with a speed of 8.2 m/s collides with a(n) 18 kg object moving with a velocity of 10 m/s in a direction 25 ^o from the initial direction of motion of the 6 kg object. A)...
The Calculus of Uniform Circular Motion Learning Goal: To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceler...
In the figure, a proton is projected horizontally midway between two parallel plates that are separated by 0.50 cm. The electrical field due to the plates has magnitude 610,000 N/C between the plat...
In the figure here, a block of ice slides down a frictionless ramp at angle \theta=51.0^o while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 57.0 N and is dire...
In Collision A, two carts collide and bounce off each other. In Collision B, a ball sticks to a rigid rod, which begins to rotate about the combined center of mass. Which of the following statement...
A moving 1.5-kg cart collides with and sticks to a 0.5-kg cart which was initially at rest. Immediately after the collision, the carts each have the same _____ as each other. A. velocity B. kinetic...
A person standing on a horizontal floor is acted upon by two forces: the downward pull of gravity and the upward normal force of the floor. These two forces: A. have equal magnitudes and form an ac...
A small cart of mass m is initially at rest. It collides elastically with a large cart of mass 4m and velocity v. The large cart loses half its kinetic energy to the little cart. The little cart no...
Two people, one of mass 100 kg and the other of mass 50 kg, stand facing each other on an ice-covered (essentially friction-less) pond. If the heavier person pushes on the lighter one with a force...
A helical compression spring is to be designed for infinite life when subjected to a load that fluctuates between 50 and 100 lb. Steel spring wire havingand a zero-to-maximum torsional endurance li...
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