Question

A dramatic (and perhaps unexpected) collision occurs if you hold a tennis ball on top of a basketball and drop them at the same time. After impacting the ground, the tennis ball can be launched much higher than the original height of the two balls. This process can be modeled as an elastic collision of the basketball with the ground followed by a second elastic collision of the basketball with the tennis ball. The basketball (with mass of 0.45 kg) and tennis ball (with mass of 57 g) are released from rest from a distance 1.75 m above the ground. What is the maximum height reached by the tennis ball after the balls collide with the ground?

          A dramatic (and perhaps unexpected) collision occurs if you hold a tennis ball on top of a basketball and drop
them at the same time. After impacting the ground, the tennis ball can be launched much higher than the
original height of the two balls. This process can be modeled as an elastic collision of the basketball with the
ground followed by a second elastic collision of the basketball with the tennis ball. The basketball (with mass of
0.45 kg) and tennis ball (with mass of 57 g) are released from rest from a distance 1.75 m above the ground.
What is the maximum height reached by the tennis ball after the balls collide with the ground?

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Added by Alfredo R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

07/09/2022

Step 1

- The total mass of the system is 0.45 kg + 0.057 kg = 0.507 kg. - The initial height of the system is 1.75 m. - The acceleration due to gravity is 9.81 m/s^2. - The initial potential energy (PE) of the system is PE = mgh = 0.507 kg * 9.81 m/s^2 * 1.75 m = 8.77 J. Show more…

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A dramatic (and perhaps unexpected) collision occurs if you hold a tennis ball on top of a basketball and drop them at the same time. After impacting the ground, the tennis ball can be launched much higher than the original height of the two balls. This process can be modeled as an elastic collision of the basketball with the ground followed by a second elastic collision of the basketball with the tennis ball. The basketball (with mass of 0.45 kg) and tennis ball (with mass of 57 g) are released from rest from a distance 1.75 m above the ground. What is the maximum height reached by the tennis ball after the balls collide with the ground?

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