A hollow sphere of mass M and radius R is hit by a pendulum ofmass m and length L that is raised at an angle θ. After thecollision the pendulum comes to a stop and the sphere rolls forwardinto a spring with stiffness k on an incline of ϕ. Find anexpression for how far ∆x the spring compresses along the incline.Use only m, L, M, R, θ, ϕ, k and appropriate constants.
