A block of mass $m$ starts at rest at height $h$ on a frictionless inclined plane. The block slides down the plane, travels across a rough horizontal surface with coefficient of kinetic friction $μ$ , and compresses a spring with force constant $k$ a distance $x$ before momentarily coming to rest. Then the spring extends and the block travels back across the rough surface, sliding up the plane. The block travels a total distance $d$ on rough horizontal surface. The correct expression for the maximum height $h’$ that the block reaches on its return is
A block of mass $m$ starts at rest at height $h$ on a frictionless inclined plane. The block slides down the plane, travels across a rough horizontal surface with coefficient of kinetic friction $μ$ , and compresses a spring with force constant $k$ a distance $x$ before momentarily coming to rest. Then the spring extends and the block travels back across the rough surface, sliding up the plane. The block travels a total distance $d$ on rough horizontal surface. The correct expression for the maximum height $h’$ that the block reaches on its return is
- A
$mgh’\ =\ mgh\ -\ \mu mgd$
- B
$mgh’\ =\ mgh\ +\ \mu mgd$
- C
$mgh’\ =\ mgh\ +\ \mu mgd\ +\ kx^2$
- D
$mgh’\ =\ mgh\ -\ \mu mgd\ -\ kx^2$
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- [AIEEE 2012]