Calculating Retained Potential Energy of a Bouncing Ball | Homework Help

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SUMMARY

The discussion focuses on calculating the retained potential energy of a bouncing ball dropped from a height of 1.5 meters with a mass of 500 grams. The initial kinetic energy (Ek) calculated by the user is 7.5 joules, but the correct retained energy after the first bounce is 4.9 joules, as indicated by the teacher's response. The user expresses confusion regarding the height attained after the bounce, suggesting that additional information is necessary to accurately determine the retained energy.

PREREQUISITES
  • Understanding of gravitational potential energy (Eg = mgh)
  • Knowledge of kinetic energy calculations (Ek = 1/2mv²)
  • Familiarity with the concept of elastic collisions
  • Basic physics principles regarding energy conservation
NEXT STEPS
  • Research the principles of elastic and inelastic collisions in physics
  • Learn how to calculate the height of a bounce using energy conservation
  • Explore the effects of different surfaces on energy retention during bounces
  • Study the relationship between mass, height, and energy in gravitational systems
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Students studying physics, educators teaching energy concepts, and anyone interested in understanding the mechanics of bouncing objects and energy retention.

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Homework Statement


If the ball is dropped from a height of 1.5 m, how much of the potential energy, in joules, is retained
after the first bounce on the carpet?
the mass of the ball is 500g


Homework Equations



Eg = mgh
Ek = 1/2mv2
v = (2gh)-2

i think that all i need

The Attempt at a Solution


Ek which is (.5kg)(9.8)(1.5M) So the EK energy exerted is 7.5J? but my teachers answer says its 4.9 :( I am so confused help
 
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NineTHOUSAND said:

Homework Statement


If the ball is dropped from a height of 1.5 m, how much of the potential energy, in joules, is retained
after the first bounce on the carpet?
the mass of the ball is 500g

Homework Equations



Eg = mgh
Ek = 1/2mv2
v = (2gh)-2

i think that all i need

The Attempt at a Solution


Ek which is (.5kg)(9.8)(1.5M) So the EK energy exerted is 7.5J? but my teachers answer says its 4.9 :( I am so confused help

It drops from 1.5m. But how high does it bounce? Isn't the height attained after the first bounce the height you need to answer the question?
 
it bounces elastically?
i think some info is missing...
 

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