1. What is the ratio of the magnitudes of the distances each block travels? A wo

Question

1. What is the ratio of the magnitudes of the distances each block travels?

A wooden block is cut into two pieces, piece A B. A depression is made in both faces of the cut, so that a firecracker can be placed in it with the block reassembled. The reassembled block is set on a rough-surfaced table, and the fuse is lit. When the firecracker explodes inside, the two blocks separate and slide apart 1. What is the ratio of the magnitudes of the distances each block travels? A with four times the mass of the other piece, B

Explanation / Answer

Since the initial momentum was zero,
mu = 4mv where m is the mass of light piece and u is its velocity.
and v is the velocity of heavy piece.
Hence u/v = 4.

For the lighter piece,
u^2 = 2 a s1 and for the heavier piece v^2 = 2 a s2. where S1 and S2 are the distances moved.
The frictional acceleration will be the same on both masses.
S1/S2 = [u/v] ^2 = 16

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