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  4. A bullet fired from a gun with a velocity of 104 ms -1 goes through a bag full of straw. If the bullet loses half of its kinetic energy in the bag, its velocity when it comes out of the bag will be

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Q. A bullet fired from a gun with a velocity of $10^{4}\, ms ^{-1}$ goes through a bag full of straw. If the bullet loses half of its kinetic energy in the bag, its velocity when it comes out of the bag will be

Work, Energy and Power

Solution:

$KE$ left, $\frac{1}{2} m v^{2}=\frac{1}{2}\left(\frac{1}{2} m u^{2}\right)$
$\therefore $ Velocity left, $v=\frac{u}{\sqrt{2}}=\frac{10^{4}}{\sqrt{2}} $
$=7071.06\, ms ^{-1}$