Question #17436

A bullet moving with a speed 'v' can just penetrate two planks of equal thickness. Find the number of such planks that the bullet will penetrate if its speed is doubled.

Expert's answer

The energy of the bullet will increase
N =& (m(2V)²/2) / (mV²/2) = (2V)² / V² = 4

times if its speed is doubled. So, the bullet will penetrate 4 times more planks, that is

M = 2*4 = 8

such planks.

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