Question

When a bullet with a velocity of 1000 m / s passes through two unequal thickness boards in a row, the speed of the bullet decreases as 200 m / s in each case. What is the ratio of the thickness of the two boards?​

Answer 1

ǫᴜᴇsᴛɪᴏɴ-:

When a bullet with a velocity of 1000 m / s passes through two unequal thickness boards in a row, the speed of the bullet decreases as 200 m / s in each case. What is the ratio of the thickness of the two boards?

ᴀɴsᴡᴇʀ-:

Loss in kinetic energy of bulletthrough a block thickness of the block.

Hence,for the first block.

$\sf\frac{1}{2}$m ($\sf{1000^2-200^2}$) ∞ $\sf{t_1}$

Now,for the second block.

$\sf\frac{1}{2}$m ($\sf{200^2-0^2}$) ∞ $\sf{t_2}$

$\implies$ $\sf\frac{t_1}{t_2}$ = $\sf\frac{1000^2-200^2}{200^2}$ = $\sf{24}$