question_answer

A bullet of mass m fired into a stationary large wooden block with velocity v penetrates a distance\[x\]before coming to rest. What is the resistance provided by the wooden block.

Answer:

(a) The resistance offered by the block, \[F=\frac{1}{2}\frac{M{{V}^{2}}}{x}\] (b) We know that, \[\frac{{{V}^{2}}}{x}=con\tan t\Rightarrow \frac{V_{1}^{2}}{{{x}_{1}}}=\frac{V_{2}^{2}}{{{x}_{2}}}\]