A block of mass m is pushed with a speed v0 along a horizontal surface, and it comes in contact at A with a compression spring of stiffness k. During the subsequent motion, the surface becomes...

A block of mass m is pushed with a speed v0 along a horizontal surface, and it comes in contact at A with a compression spring of stiffness k. During the subsequent motion, the surface becomes increasingly rough and μ = λx as Find out the mechanical energy lost during the motion when the block comes to rest for the first time.