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A massless spring when stretched by a force 150 N shows an extension of 1.5 m. This spring is arranged as shown in Figure A block of mass 10 kg is released at rest on a frictionless incline. It slides down and compresses the spring by 3 m before coming to rest momentarily, distance by which the block slides before hitting the spring is :
(take g = 10 m/s²)

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9 m

12 m

answer is B.

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Detailed Solution

Let the block slides x distance before hitting the spring from Work- Energy Theorem
$W = ΔKE \Rightarrow mgsin 30^{\circ} (x + 3) - \frac{1}{2} k (3)^{2} = 0 - 0$

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