Constant Linear Velocity

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Constant Linear Velocity Questions and Answers

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A uranium nucleus 238 U may stay in one piece for billions of years, but sooner or later it decays into an \alpha particle of mass 6.64 \times 10^{-27}\ kg and 234 Th nucleus of mass 3.88 \times 10...
A fox sees a piece of carrion being thrown from a hawk's nest and rushes to snatch it. The nest is 15.3 \ m high, and the carrion is thrown with a horizontal velocity of 1.7 \ m/s. The fox is 9.0...
If the height of a helicopter above the ground is given by h=3.25t^3, where h is in meters and t is in sec. After 1.50\ \mathrm{s}, the helicopter releases a small mailbag. How long after its relea...
How do you find the instantaneous velocity on a position-time graph?
A cannonball is fired horizontally from a 240-high cliff toward a vertical building 540 away with an initial velocity of 90.0. When the ball will hit the building? A) 7.00 s B) 6.00 s C) less th...
A speedboat starts from rest and accelerates at +1.99\ \mathrm{m/s^2} for 7.00\ \mathrm{s}. At the end of this time, the boat continues for an additional 6.00\ \mathrm{s} with an acceleration of +0...
Two students are on a balcony 20.6\ \mathrm{m} above the street. One student throws a ball vertically downward at 14.7\ \mathrm{m/s}. At the same instant, the other student throws a ball vertically...
A ball rolls up a ramp and then back down again. The ramp is oriented so that the ball is rolling to the right as it rolls up the ramp. Assume that positive v and a vectors point to the right. Whic...
If you're on a Ferris wheel at a carnival, seated 10 \ m from the Ferris wheel's axis that makes a complete rotation each minute, determine your linear speed.
A worker on the roof of a building that is under construction dropped a 0.125\ \mathrm{kg} wrench over the edge. Another workman on the 8th floor saw the wrench go by and determined that its speed...
A turtle ambles leisurely as turtles tend to do when it moves from a location with position vector r1,x = 1.49, m and r1,y = -2.83, m in a lettuce garden to another location, with position vect...
1. The current in a river flows at a rate of 1.51 fraction{m}{s} relative to the shore. A swimmer with a velocity of 3.76 fraction{m}{s} relative to the water wishes to swim directly across the riv...
Jack the Jaguar can run for only 1.0 min at 13.0 m/s before he has to stop to rest, while Zeke the zebra can gallop at 7.25 m/s for 5.0 mins. a) How long does Zeke actually have to run for to elud...
0.30 sec after seeing a puff of smoke rise from the starter's pistol the sound of the firing of the pistol is heard 100.0 m away. What is the velocity of the sound in m/s and in km/h?
An airplane heads due north at 100 \ m/s through a 30 \ m/s cross wind blowing from east to west. Determine the resultant velocity of the airplane.
Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?
You are stopped at the end of the merge lane at the entrance to a motorway because traffic is dense with cars at a distance of 200\ \mathrm{m} from each other with no larger gaps in sight. They are...
Position of a particle is given by x= 3t-4t^2+t^3, x is distance in meters and t is time in seconds. Find the average velocity of the particle in the time interval from t=2 \ sec to t=4 \ sec.
The velocity 'v' and displacement 's' a body is moving in a 1-D is given by v^2 = ks where k is a constant. If displacement at t=0 is zero find the velocity after 2 seconds.
While sitting in a moving train, if we throw a ball upwards, why does it still come back to our hands instead of falling behind? Will inertia not work on the ball? How will the ball keep moving wit...
There are three rollers under a conveyor belt and each roller has a radius of 8 centimeters. The rollers turn at a rate of 2 revolutions per second. What is the linear speed of the conveyor belt?
A sphere is suspended by a thread of length l. What minimum horizontal velocity has to be imparted to the ball for it to reach the highest of suspension? a. \sqrt {gl} b. \sqrt {2gl} c. 2 \sqrt {gl...
A fast duck is flying (20 \hat i+40\hat j) \ mi/h at the same altitude as a slow aeroplane flying with a velocity of (-80\hat i+40 \hat j) \ mi/h. How fast and in what direction is the duck moving...
A car is travelling at a velocity of 10 \ km/h on a straight road. The driver of the car throws a parcel with a velocity of 10\sqrt 2 \ km/h when the car is passing by a man standing on the side of...
A car travels at uniform velocity with a distance of 100 m in 4 s. What is the velocity of the car?
An NCC parade is going at a uniform speed of 6 \ km/h through a place under a berry tree on which a bird is sitting at a height of 12.1 \ m. At a particular instant the bird drops a berry. Which ca...
An object is moving north with an increasing speed. From only this information one can conclude: a) that there is a single force on the object directed north b) that there is a net force on the o...
A helicopter blade is 2.75 m long and is rotating at 420 rpm. What is the linear velocity of the tip of the blade?
A female tiger leapss horizontally from a 7.5 \ m high rock with a speed of 4.5 \ m/s. How far from the base of the rock will she land?
The minute hand of a clock is 1.4 centimeters long. How far does the tip of the minute hand travel in 45 minutes?
A particle projected from the origin (x = y = 0) moves in xy plane with a velocity v = 2 \hat{i} + 4x \hat{j}, where \hat{i} and \hat{j} are the unit vectors along the x and the y axis. The equatio...
If a Ferris wheel with radius 180 feet makes 1 full revolution every 8 minutes, What is its linear speed?
The radius of the wheel on a truck is 18 inches. If the wheel is revolving at 24/7 rpm, what is the linear speed of the truck, in mph?
A steel ball rolls with constant velocity across a tabletop 0.950 \ m high. It rolls off and hits the ground 0.352 meters from the edge of the table. How fast was the ball rolling when it left the...
Suppose a car is decelerating at a constant rate of 5 m/s^2 (i.e. its acceleration is -5 m/s^2). If the car has an initial velocity of 25 m/s, how far does the car travel before coming to a full st...
A speeding motorist traveling 120 \ km/hr passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 2.78 \ m/s^2. a. How much time will it take for t...
A car slows down from a speed of 25.0 \ m/s to rest in 5.00 sec. How far did it travel in this time?
If the average speed of a car is 125 km/hr, how long will it take the car to travel 800 km?
What does the d and t stand for in the formula for velocity v = d/t?
There are two planes traveling at the same speed 275 kilometers per hour but different directions. Are their velocity the same?
If a ball is thrown vertically upward with a velocity of 80 ft/sec, then it's height after t seconds is s=80t-16t^2. a) What is the maximum height reached by the ball? b) What is the velocity of...
A point on a rotating turntable 22.0 cm from the center accelerates from rest to a final speed of 0.790 m/s in 1.70 s. At t = 1.20 s, find the magnitude and direction of each of the following: (a)...
A 4.80 kg watermelon is dropped from rest from the roof of a 22.0 m tall building and feels no appreciable air resistance. Just before it strikes the ground, what is the watermelon's speed?
A 325-g model boat floats on a pond. The wind on its sail provides a force of 1.5 N that points 15 degree north of east. The drag force of the water on the boat is 0.78 N, toward the west. If the b...
a. What is the angular speed about the polar axis of a point on Earth's surface at a latitude of 47 degrees N? b. What is the linear speed of the point? c. What are the angular and the linear speed...
Can you drive your car around the block at a constant velocity?
During a high-speed chase, a 1200 kg sports car traveling at a speed of 144 km/h just loses contact with the road as it reaches the crest A of a hill. (a) Determine the radius of curvature of the r...
A helicopter is flying in a straight line over a level field at a constant speed of 5.40 m/s and at a constant altitude of 9.00 m. A package is ejected horizontally from the helicopter with an init...
A man stands on the roof of a 11.3 \ m tall building and throws a rock with a velocity of magnitude 29.0 \ m/s at an angle of 38.0^o above the horizontal. You can ignore air resistance. a. Calcula...
A particle's position along the x-axis is described by x(t) = A t + B t^2, where t is in seconds, x is in meters, and the constants A and B are given below. A = -3.35 m/s, B = 3.6 m/s^2. What is th...
A proton is accelerated from rest through a potential difference of 107 V. Calculate the final speed of this proton. The mass of a proton is 1.673 \times 10^{-27} kg and the elemental charge is 1.6...
A rock is thrown from a height of 10 m downward at an angle of 65 degrees below the horizontal toward the ground below. If it takes 0.8 s to hit the ground, what was the rock's initial speed? Air r...
A 54.0 kg ice skater spins about a vertical axis through her body with her arms horizontally outstretched, making 2.50 turns each second. The distance from one hand to the other is 1.5 m. Biometric...
A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the water. The local ocean current is 1.50 m/s in a direction 40.0 degree north of east. What is the velo...
Knowing that at the instant shown the velocity of collar D is v_ D = 1.7 m/s upward, determine (a) angular velocity of rod AD. \omega_{AD} rad/s. (b) velocity of point B. v_B (m/s) and (c) velocity...
What length track does a \pi+ traveling at 0.100 c leave in a bubble chamber if it is created there and lives for 2.60 \times 10^{-8} s? (Those moving faster or living longer may escape the detecto...
8.0\times10^{15} electrons flow through a cross-section of silver wire in 380 \mus with a drift speed of 7.4\times10^{-4} m/s. What is the diameter of the wire?
Consider a circular roller coaster loop of radius 11 m. You already know that if the car starts from a height of 2.5 r at rest, the normal force acting on the car at the top will vanish. Now assume...
A duck flying due east passes over Atlanta, where the magnetic field of Earth is 5.0 x 10-5 T directed north. The duck has a positive charge of 4.6 x 10-8 C. If the magnetic force acting on the duc...
Airplane A is flying horizontally with a constant speed of 169 km/h and is towing the glider B, which is gaining altitude. If the tow cable has a length r = 57 m and \theta is increasing at the con...
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