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The above diagram shows the motion and masses of two carts before a collision in a student experiment. (Friction can be considered negligible in this experiment.) After the collision, the $3\ \text{kg}$ cart is moving back to the left at $2\ \text{m/s}$.

How much kinetic energy is lost during this inelastic collision?

A

$35\ \text{J}$

B

$39\ \text{J}$

C

$57\ \text{J}$

D

$81\ \text{J}$

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