Answer to Question #17436 in Mechanics | Relativity for hugyu

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.
1
Expert's answer
2012-11-01T08:42:07-0400
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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