A mass is an initial speed of v down a ramp inclined at an angle of θ to the horizontal. The coefficient of kinetic friction between the ramp and the mass is μ. After sliding a distance d down the ramp, the mass slides onto a frictionless horizontal surface and encounter a spring which it compresses a distance x. determine the spring constant, in term of given quantities

A mass is an initial speed of v down a ramp inclined at an angle of θ to the horizontal. The coefficient of kinetic friction between the ramp and the mass is μ. After sliding a distance d down the ramp, the mass slides onto a frictionless horizontal surface and encounter a spring which it compresses a distance x. determine the spring constant, in term of given quantities