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A vertical spring is fixed to one of its...

A vertical spring is fixed to one of its end and a massless plank pland fitted to other end, A block is released from a height (h) as shown, spring is in relaxed position then choose the correct statement.
.

A

The maximum compression of the spring does not depend on h.

B

The maximum kinetic energy of the block does not depend on h.

C

the compression of the spring at maximum (KE) of the block does not depend on h.

D

The maximum compression of the spring does not depend on k.

Text Solution

Verified by Experts

The correct Answer is:
C
After falling on plank downward force on block is mh and upward force is kx. Kinetic energy will increase when `mggtkx`. And it will decreae when `kxgtmg`. Therefore it is maximum when,
`kx-mg` or, `x=(mg)/k`
and this does not depend on h.
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