KVPY SX SB Exam 2013 Question Paper

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 µ, 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