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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter4: Newton's Laws Of Motion

Section: Chapter Questions

Problem 81AP: A frictionless plane is 10.0 m long and inclined at 35.0. A sled starts at the bottom with an...

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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.
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