4) À car travels around a curve banked at 10° to the horizontal. The radius of the curve is 90 m and the car is travelling at 61.2 km/h. Determine μs. 5) An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp. h 6) A roller blader (84 kg) is travelling at 19 m/s [E]. A 21.2 kg child is riding a 7.8 kg bike at a speed of 6 m/s [W]. The roller blader and the cycling child collide in what can be assumed to be an elastic collision. What are the final velocities of the roller blader and the cycling child after the collision?

4) À car travels around a curve banked at 10° to the horizontal. The radius of the curve is 90 m and the car is travelling at 61.2 km/h. Determine μs. 5) An Amazon package (2 kg) starts from rest, then begins to slide down a 4 m tall ramp that is inclined at 30°. The package then travels 12 m along a horizontal surface where it pushes into a spring (k = 3000 N/m). The package compresses the spring a distance x before coming momentarily to rest. Then the package is pushed in the opposite direction by the spring. The coefficient of friction between the ramp/floor and the package is 0.21. Calculate x and determine if the package will stop before it gets back to the ramp or if it will begin to slide up the ramp. h 6) A roller blader (84 kg) is travelling at 19 m/s [E]. A 21.2 kg child is riding a 7.8 kg bike at a speed of 6 m/s [W]. The roller blader and the cycling child collide in what can be assumed to be an elastic collision. What are the final velocities of the roller blader and the cycling child after the collision?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 14WUE

See similar textbooks

Similar questions

A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as represented in Figure OQ5.6. The bob moves without friction, swinging equally high on both sides. It moves from its turning point A through point B and reaches its maximum speed at point C. (a) Of these points, is there a point where the bob has nonzero radial acceleration and zero tangential acceleration? If so, which point? What is the direction of its total acceleration at this point? (b) Of these points, is there a point where the bob has nonzero tangential acceleration and zero radial acceleration? If so, which point? What is the direction of its total acceleration at this point? (c) Is there a point where the bob has no acceleration? If so, which point? (d) Is there a point where the bob has both nonzero tangential and radial acceleration? If so, which point? What is the direction of its total acceleration at this point? Figure OQ5.6
A roller coaster at the Six Flags Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each vertical loop, instead of being circular, is shaped like a teardrop (Fig. P5.22). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0 in high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the care have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having teardrop-shaped loops.
When a body slides down an inclined plane, does the work of friction depend on the body’s initial speed? Answer the same question for a body sliding down a curved surface.
A car is driving around a flat, circularly curved road with a radius of 5.00 102 m. The mass of the car is 1500 kg, and the coefficient of static friction between its tires and the road is 0.30. a. Using the work of Example 6.7 (pages 202203), what is the maximum speed the car can have without slipping? b. What is the magnitude of the centripetal force on the car if it were to travel at the maximum speed around the track?
A frictionless plane is 10.0 m long and inclined at 35.0. A sled starts at the bottom with an initial speed of 5.00 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed vi. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.
(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in the Great Pyramid of Cheops, given that its mass is about 7109 kg and its center of mass is 36.5 m above the surrounding ground? (b) How does this energy compare with the daily food intake of a person?
9. A student is skateboarding down a ramp that is 6.0 m long and inclined at 18° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. Neglect friction and find the speed at the bottom of the ramp.
A 1.9 kg ball at the end of a 1.6 m string swings in a vertical plane. At its lowest point the ball is moving with a speed of 20 m/s. (a) What is its speed (in m/s) at the top of its path? m/s (b) What is the tension (in N) in the string when the ball is at the bottom and at the top of its path? bottom of its path N top of its path
A 2.0 kg ball at the end of a 1.1 m string swings in a vertical plane. At its lowest point the ball is moving with a speed of 17 m/s. (a) What is its speed (in m/s) at the top of its path? m/s (b) What is the tension (in N) in the string when the ball is at the bottom and at the top of its path? bottom of its path N top of its path N
4. a) When a car drives at constant speed in a circle on a flat road, the work done by the static friction between the tires and the road is zero. Explain why. (it has something to do with directions) c) When using the formula K1 + U1 + Wnc = K2 + U2, we do not include the work done by gravity or a spring in the term Wnc. Why not? Doesn't that leave out the effect of those forces? I am looking for two parts to the answer.
In a truck-loading station at a post office, a small 0.200 kg package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m. The size of the package is much less than 1.60 m, so the package can be treated as a particle. It slides down the track and reaches point B with a speed of 4.80 m/s. From point B, it slides on a level surface a distance of 3.00 m to point C, where it comes to rest. (a) What is the coefficient of kinetic friction on the horizontal surface? (b) How much work is done on the package by friction as it slides down the circular arc from A to B?
A gas-powered model airplane has a mass of 2.50 kilograms. A student exerts a force on a cord to keep the airplane flying around her at a constant speed of 18.0 meters per second in a horizontal, circular path with a radius of 25.0 meters. Calculate the magnitude of the centripetal force exerted on the airplane to keep it moving in this circular path. Calculate the kinetic energy of the moving airplane.