Tennis ball bouncing on the floor - How high does it bounce?

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SUMMARY

The discussion focuses on calculating the height of a tennis ball after three bounces, given that it loses 21% of its energy due to heating with each bounce. The initial height from which the ball is released is 4.6 meters. To determine the height after the third bounce, one must apply the principles of mechanical energy and account for the energy loss at each bounce. The weight of the ball is not provided, but the energy loss can be calculated using the initial potential energy derived from the height.

PREREQUISITES
  • Understanding of mechanical energy concepts
  • Knowledge of potential energy calculations
  • Familiarity with percentage loss calculations
  • Basic physics of motion and energy transfer
NEXT STEPS
  • Calculate potential energy using the formula PE = mgh
  • Learn about energy loss calculations in elastic collisions
  • Explore the concept of energy conservation in bouncing objects
  • Investigate the effects of different materials on energy loss during bounces
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Students studying physics, educators teaching mechanics, and anyone interested in understanding energy dynamics in bouncing objects.

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Homework Statement



A tennis ball bounces on the floor three times. If each time it loses 21% of its energy due to heating, how high does it bounce after the third time, provided we released it 4.6 from the floor?


Homework Equations





The Attempt at a Solution



I just can't deal with energy. Do I have to make use of mechanical energy?
 
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Did you find how much energy it was released with i.e. the energy of the ball 4.6(m?) above the ground.
 
I'd need to know the weight of the ball to do that, and all I'm given is how much energy the ball loses due to heat after each bounce, and how high the ball is when I throw it.
 

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