Ball dropped 1.5 m bounces to what height on carpet

[NineTHOUSAND]

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

 

[LowlyPion]

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?

 

[Dweirdo]

it bounces elastically?
i think some info is missing...