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JEE Main 2024 (4 Apr, Shift 1) · Collisions

Collisions question from JEE Main 2024 (4 Apr, Shift 1)

Q2JEE Main 2024 · 4 APR · SHIFT 1Easy

Collisions

If a rubber ball falls from a height $h$ and rebounds upto the height of $h/2$ . The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are:

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Answer: (a)

Initial energy $mgh$ , final energy $mg\frac{h}{2}$ , so loss $= 50\%$ .
Speed before striking: $\frac{1}{2}mv^2 = mgh \Rightarrow v = \sqrt{2gh}$
So the answer is (a) $50\%, \sqrt{2gh}$ .

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