A block is simply released from the top of an inclined plane as shown… | JEE Main 2024 (8 Apr, Shift 2)

Q6JEE Main 2024 · 8 APR · SHIFT 2Medium

Spring & Elastic Energy

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is:

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Answer: (d)

Height of incline top: $h = 10\sin 30^\circ = 5$ m, so energy $= mgh = 5 \times 10 \times 5 = 250$ J.
Friction on the 2 m rough patch: $\mu mg d = 0.5 \times 50 \times 2 = 50$ J.
Energy given to spring: $250 - 50 = 200 = \frac{1}{2}(100)x^2 \Rightarrow x^2 = 4$
So the answer is (d) $2$ m.

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