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5.2. In previous homework sets you explored the bounce of a 0.50 kg basketball. It hit the floor with a speed of 9.0 m/s and bounced back vertically upward. Clearly, at some point, it had a velocity of zero. That is, it stopped for a moment in the middle of the bounce. Let's assume that the surface of the basketball was deflected inward by 2.9 cm at that point (about 12% of its diameter). (a) How much work was done on the basketball to slow it to a stop? (b) What was the average force acting on the basketball as it slowed to a stop? (c) Use an assumption that the acceleration of the ball was constant to determine the time that the basketball was in contact with the floor before it stopped. You should be able to do this either by looking at the change in momentum of the ball or by combining the distance and change in velocity of the ball. Try it both ways! Do you get the same answer?

5.2. In previous homework sets you explored the bounce of a 0.50 kg basketball. It hit the floor with a speed of 9.0 m/s and bounced back vertically upward. Clearly, at some point, it had a velocity of zero. That is, it stopped for a moment in the middle of the bounce. Let's assume that the surface of the basketball was deflected inward by 2.9 cm at that point (about 12% of its diameter). (a) How much work was done on the basketball to slow it to a stop? (b) What was the average force acting on the basketball as it slowed to a stop? (c) Use an assumption that the acceleration of the ball was constant to determine the time that the basketball was in contact with the floor before it stopped. You should be able to do this either by looking at the change in momentum of the ball or by combining the distance and change in velocity of the ball. Try it both ways! Do you get the same answer?

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5.2. In previous homework sets you explored the bounce of a 0.50 kg basketball. It hit the floor with a speed of 9.0 m/s and bounced back vertically upward. Clearly, at some point, it had a velocity of zero. That is, it stopped for a moment in the middle of the bounce. Let's assume that the surface of the basketball was deflected inward by 2.9 cm at that point (about 12% of its diameter). (a) How much work was done on the basketball to slow it to a stop? (b) What was the average force acting on the basketball as it slowed to a stop? (c) Use an assumption that the acceleration of the ball was constant to determine the time that the basketball was in contact with the floor before it stopped. You should be able to do this either by looking at the change in momentum of the ball or by combining the distance and change in velocity of the ball. Try it both ways! Do you get the same answer?
Transcribed Image Text:5.2. In previous homework sets you explored the bounce of a 0.50 kg basketball. It hit the floor with a speed of 9.0 m/s and bounced back vertically upward. Clearly, at some point, it had a velocity of zero. That is, it stopped for a moment in the middle of the bounce. Let's assume that the surface of the basketball was deflected inward by 2.9 cm at that point (about 12% of its diameter). (a) How much work was done on the basketball to slow it to a stop? (b) What was the average force acting on the basketball as it slowed to a stop? (c) Use an assumption that the acceleration of the ball was constant to determine the time that the basketball was in contact with the floor before it stopped. You should be able to do this either by looking at the change in momentum of the ball or by combining the distance and change in velocity of the ball. Try it both ways! Do you get the same answer?
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