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A bullet leaving the muzzle of a rifle b...

A bullet leaving the muzzle of a rifle barrel with a velocity v penetrates a plank and loses one-fifth of its velocity. It then strikes second plank, which it just penetrates through. Find the ratio of the thickness of the planks, supposing the average resistance to the penetration is same in both the cases.

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AI Generated Solution

To solve the problem, we need to find the ratio of the thickness of the two planks (let's denote them as \( S_1 \) for the first plank and \( S_2 \) for the second plank) based on the bullet's penetration and the loss of velocity. ### Step-by-Step Solution: 1. **Determine the initial velocity**: Let the initial velocity of the bullet as it leaves the rifle barrel be \( v = u \). 2. **Calculate the velocity after penetrating the first plank**: ...
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