(5%) Problem 15. A 0 240-kg billiard ball that is moving at 3.1 m/s in the posti

Question

(5%) Problem 15. A 0 240-kg billiard ball that is moving at 3.1 m/s in the postive direction strikes the bumper of a pool table and bounces straight back at 2.4 m/s. The collision lasts 0.0150 s. 33% Part (a Calculate the component of the average force along the direction of the original motion in newtons, that is exer ball by the bumper during the collision 33% Part (b) what is the change in kinetic energy, in joules, during the collision? 33% Part (c) What percent of the initial kinetic energy remains in the system after the collision? KEfKE0 (%) = Grade St Deductios Potential

Explanation / Answer

Here ,

part a) component of the average force = change in momentum/time taken

component of the average force = 0.240 * (2.4 - (-3.1))/.0150

component of the average force = 88 N

component of the average force is 88 N

part B)

change in kinetic energy = 0.50 * 0.240 * (2.4^2 - 3.1^2)

change in kinetic energy = -0.462 J

the change in kinetic energy is -0.462 J

c)

initial energy remained in the system = 100 - percentage of energy lost

initial energy remained in the system = 100 - 0.462 * 100/(0.50 * 0.240 * 3.1^2)

initial energy remained in the system = 59.9 %

the initial energy remained in the system is 59.9 %

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