A wooden block is cut into two pieces, piece A with two times the mass of the ot

Question

A wooden block is cut into two pieces, piece A with two times the mass of the other piece, 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.

What is the ratio of the magnitudes of the distances each block travels? Express your answer using three significant figures.

|(x)A| divided by |(x)B| = ??

Explanation / Answer

Since M = 2m, V = 2v
a = µ*g (same for each block)

d = v²/(2a) d is proportional to v², so

|(delta x)A| / |(delta x)B | = D/d = 1/2² = 1/4

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