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 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

A. `h = H-2 mu (d + x)`
B. `h = H + 2 mu (d + x)`
C. `h = H-2 mud + kx^(2)//mg `
D. `h= H - 2 mu (d + x) + kx^(2)// 2mg `

Answer

A

Explanation

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