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Solved: A 0.240-kg billiard ball that is moving at 3.00

Chapter 8, Problem 31

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QUESTION:

Problem 31PE

A 0.240-kg billiard ball that is moving at 3.00 m/s strikes the bumper of a pool table and bounces straight back at 2.40 m/s (80% of its original speed). The collision lasts 0.0150 s. (a) Calculate the average force exerted on the ball by the bumper. (b) How much kinetic energy in joules is lost during the collision? (c) What percent of the original energy is left?

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QUESTION:

Problem 31PE

A 0.240-kg billiard ball that is moving at 3.00 m/s strikes the bumper of a pool table and bounces straight back at 2.40 m/s (80% of its original speed). The collision lasts 0.0150 s. (a) Calculate the average force exerted on the ball by the bumper. (b) How much kinetic energy in joules is lost during the collision? (c) What percent of the original energy is left?

ANSWER:

Solution 31PE

This question is based on the concept of the rate of change of momentum. Mathematically, the rate of change of momentum is also equal to the force external force.

Part a

Step 1 of 4

Given data:

The mass of the billiard ball kg

Initial speed of the ball  m/s

The ball bounces back. So, there is a change in the direction of the ball. We have to take this speed as negative.

The final speed of the ball  m/s

The change in speed of the ball m/s

                                                    m/s

Therefore, the change in momentum of the ball  kgm/s

kgm/s

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