An ideal massless spring \( S \) can be compressed \( 1 \mathrm{~m} \) by a force of \( 100 \mat...

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An ideal massless spring \( S \) can be compressed \( 1 \mathrm{~m} \) by a force of \( 100 \mathrm{~N} \) in equilibrium. The same spring is placed at the bottom of a frictionless inclined plane inclined at \( 30^{\circ} \) to the horizontal. A \( 10 \mathrm{~kg} \) block \( M \) is released from rest at the top of the incline and is brought to rest momentarily after compressing the spring by \( 2 \mathrm{~m} \). If \( g=10 \mathrm{~ms}^{-2} \), what is the speed of mass just before it touches the spring?
(a) \( \sqrt{20} \mathrm{~ms}^{-1} \)
(b) \( \sqrt{30} \mathrm{~ms}^{-1} \)
(c) \( \sqrt{10} \mathrm{~ms}^{-1} \)
(d) \( \sqrt{40} \mathrm{~ms}^{-1} \)
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