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JEE Main 2023 (6 Apr, Shift 2) · Collisions

Collisions question from JEE Main 2023 (6 Apr, Shift 2)

Q3JEE Main 2023 · 6 APR · SHIFT 2Medium

Collisions

A body is dropped on ground from a height ' $h_1$ ' and after hitting the ground, it rebounds to a height ' $h_2$ '. If the ratio of velocities of the body just before and after hitting ground is 4, then percentage loss in kinetic energy of the body is $\frac{x}{4}$ . The value of $x$ is ____________.

Numerical answer type. Work it out, then open the answer.

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Answer: 375

$\frac{v_1}{v_2} = 4 \Rightarrow \frac{K_2}{K_1} = \frac{1}{16}$
Fractional loss $= 1 - \frac{1}{16} = \frac{15}{16} = 93.75\%$
$\frac{x}{4} = 93.75 \Rightarrow x = 375$

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