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Standard XII

Physics

Spring Block's Time Period

A block with ...

Question

A block with mass $M$ is connected by a massless spring with stiffness constant $k$ to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude $A$ about an equilibrium position $x_{0}$ . Consider two cases: (i) when the block is at $x = x_{0} + A$ . In both cases, a particle with mass $m (< M)$ is softly placed on the block after which they stick to each other. Find the total energy in both cases.

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Solution

After placing the block m on the block M. The amplitude of oscillation not changed.
Total energy remains unchanged.

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After placing the block m on the block M. The amplitude of oscillation not changed.Total energy remains unchanged.

After placing the block m on the block M. The amplitude of oscillation not changed.
Total energy remains unchanged.