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An ideal massless spring S can compresse...

An ideal massless spring `S` can compressed `1.0` m in equilibrium by a force of `100 N`. This same spring is placed at the bottom of a friction less inclined plane which makes an angle `theta =30^@` with the horizontal. A (10 kg) mass (m) is released from rest at the top of the incline and and is brought to rest momentarily after compressing the spring by `2 m. if `g =10 ms^(-2)`, what is the speed of just before it touches the spring? .

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The correct Answer is:
[(a) 4m, (b) `sqrt(20)m//s`]
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