6. After the grapefruit explosion in the previous problem, the two pieces (one t

Question

6. After the grapefruit explosion in the previous problem, the two pieces (one twice the mass of the other) slide across the floor until they come to a stop. Compare the distances they travel.

5. An exploding grapefruit (sorry, it's late) is sitting on the floor when it explodes into exactly after the explosion. 6. After the grapefruit explosion in the previous problem, the two pieces (one twice the mass of the other) slide across the floor until they come to a stop. Compare the distances they travel

Explanation / Answer

5) By conservation of momentum:

initial momentum = final momentum

0 (since at rest) = mv1 +2mv2

=> v1 = -2v2

This means that the velocities of both the pieces are in opposite direction and the velocity of the less massive piece is twice than that of the more massive piece.

6)

The distances travelled is proportional to the speed. So the distance travelled by the less massive piece is twice than that covered by the other piece.

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