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## Homework Statement

Two lumps of clay, each with the same mass 3.5 kg, are sliding on ice, with no friction. One is moving at 4.8 m/s to the right, the other is moving at 2.3 m/s to the left. They collide and stick to one another. Calculate the velocity of the lump of clay after the collision. Is the total kinetic energy constant?

## Homework Equations

(m

_{1}+m

_{2})v

_{f}=m

_{1}v

_{1}+m

_{2}v

_{2}

## The Attempt at a Solution

Substituted m

_{1}and m

_{2}=3.5 kg, v

_{1}=-2.3 m/s, and v

_{2}=4.8 m/s. With that, I got v

_{f}=1.25 m/s. I'm almost sure that one of the velocity is negative since one lump of clay is moving in the opposite direction away from the other. For the second question of whether or not total kinetic energy is constant, I said no.