A block of mass $m$ slides from rest at a height $H$ on a frictionless inclined plane as shown in the figure. It travels a distance $d$ across a rough horizontal surface with coefficient of kinetic friction $\mu$ and compresses a spring of spring constant $k$ by a distance $x$ before coming to rest momentarily. Then the spring extends and the block travels back attaining a final height of $h$. Then,
A block of mass $m$ slides from rest at a height $H$ on a frictionless inclined plane as shown in the figure. It travels a distance $d$ across a rough horizontal surface with coefficient of kinetic friction $\mu$ and compresses a spring of spring constant $k$ by a distance $x$ before coming to rest momentarily. Then the spring extends and the block travels back attaining a final height of $h$. Then,
- [KVPY 2013]
- A
$h=H-2 \mu(d+x)$
- B
$h=H+2 \mu(d-x)$
- C
$h=H-2 \mu d+k x^2 / mg$
- D
$h=H-2 \mu(d+x)+k x^2 / 2 m g$
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- [JEE MAIN 2021]
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