How much energy is dissipated in the first bounce?

[emily081715]

Homework Statement

A 0.70-kg basketball dropped on a hardwood floor rises back up to 66 % of its original height. If the basketball is dropped from a height of 1.4 m , how much energy is dissipated in the first bounce?

Homework Equations

U=mgy

The Attempt at a Solution

U=(0.70)(9.8)(1.4)
=9.604 J
i'm not sure where the error is

 

[olivermsun]

That's the potential energy that the basketball started with. How much total energy did the basketball start with?

Now, can you tell how much energy the basketball had after the first bounce?

 

[emily081715]

That's the potential energy that the basketball started with. How much total energy did the basketball start with?

Now, can you tell how much energy the basketball had after the first bounce?

how do i find how much energy it starts with, i thought that would be the potential energy? would i need to find energy by adding potential and kinetic, cause if so, i don't have a speed

 

[olivermsun]

Typically in these problems if they say the ball was "dropped" they mean it was just released with 0 initial speed.

So what about the info you are given regarding the energy after the first bounce?

 

[emily081715]

Typically in these problems if they say the ball was "dropped" they mean it was just released with 0 initial speed.

So what about the info you are given regarding the energy after the first bounce?

wouldn't i still need the final energy to calculate the kinetic energy of the first bounce? after the bounce is 66% of the original height so 0.924m

 

[olivermsun]

You have the max height after the first bounce, so that tells you the potential energy. What is the kinetic energy at the very moment that the max height is achieved?

 

[emily081715]

You have the max height after the first bounce, so that tells you the potential energy. What is the kinetic energy at the very moment that the max height is achieved?

0?

 

[olivermsun]

Sure, so you have all the information you need.

 

[emily081715]

Sure, so you have all the information you need.

how?

 

[emily081715]

how?

do i just subtract potential energies from the start and the max of second bounce

 

[olivermsun]

This part I leave to you to consider.

 

[emily081715]

do i just subtract potential energies from the start and the max of second bounce

the answer is 3.3 thanks for walking me through