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## Homework Statement

Hi I am taking a self study physics course and not sure about the following question. Any help would be much appreciated. Thanks

1. A 15.0 g bullet is fired at 840 m/s into a ballistic pendulum consisting of a 24.0 kg bag of sand. If the bag rises to a height of 80.0 cm, how much energy is converted into thermal energy in the bag?

## Homework Equations

## The Attempt at a Solution

1. Given: m = 24.0 kg

h= 80 cm or 0.08 m

v= 840 m/s

Required: thermal energy

Analysis: Determine total mechanical energy as the bag of sand rises and falls.

Bag of sand at the top

mgh

(24.0 kg)(9.8 m/s^2)(0.08 m )

=18.81 J

At the bottom

Ek + Eg

1/2(24.0 kg ) (0.08m)

=0.96

Total mechanical energy = 18.81 J - 0.96 = 17.85 J

I am kind of lost with this question and not sure of the right procedure to follow.

Thanks for the assistance.