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KVPY2013PhysicsWork, Power and Energy

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 , and compresses a spring of spring 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

Options

  1. Ah=H-2 (d+x)
  2. Bh=H+2 (d+x)
  3. Ch= H -2 d + kx ² / mg
  4. D=H-2 (d+x)+k x² / 2 m g

Correct answer

A. h=H-2 (d+x)

Step-by-step solution

mgH -2 mg ( d + x )- mgh =0 ~h = H -2 ( d + x )

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