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# Perfectly Inelastic Collision

APPH12-EIQOCF

In an experiment, students collide two $1\ \text{kg}$ carts (that roll on very low-friction wheels). Before the collision, one cart is moving forward at $8\ \text{m/s}$ while the other cart is at rest, and after the collision they stick and move off together at $4\ \text{m/s}$.

Which of the following indicates how much mechanical energy is lost during this perfectly inelastic collision?

A

$4\ \text{J}$

B

$8\ \text{J}$

C

$16\ \text{J}$

D

$24\ \text{J}$