A bullet of mass 50g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s. The percentage loss of kinetic energy is

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Solution

Q.
A bullet of mass 50g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s. The percentage loss of kinetic energy is [2024]

1 44%

2 32%

3 84%

4 16%

Ans.
(3)

   $K_{i} = \frac{1}{2} m {(100)}^{2}$ and $K_{f} = \frac{1}{2} m {(40)}^{2}$

   $% l o s s = \frac{| K_{f} - K_{i} |}{K_{i}} \times 100 = \frac{| \frac{1}{2} m {(40)}^{2} - \frac{1}{2} m {(100)}^{2} |}{\frac{1}{2} m {(100)}^{2}} \times 100$

$= \frac{| 1600 - 100 \times 100 |}{100} = 84 %$

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