A block of mass \( m \) slides from rest at a height \( H \) on a frictionless inclined plane as...
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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 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) \( h=H-2 \mu d+k x^{2} / m g \)
(d) \( h=H-2 \mu(d+x)+k x^{2} / 2 m g \)
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