A man applies a force \( F \) on a spring-block system shown, towards right when the block is at...

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A man applies a force \( F \) on a spring-block system shown, towards right when the block is at rest and spring is relaxed. If \( F \) is constant, then
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(a) the time period of the block is \( 2 \pi \sqrt{\frac{M}{k}} \)
(b) the amplitude is \( \frac{F}{k} \)
(c) When the block passes through equilibrium position, the energy stored in the spring and the kinetic energy of the block respectively, are \( \frac{F^{2}}{2 k} \) and \( \frac{F^{2}}{2 k} \)
(d) The block does not oscillate
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