3. A spring, with a spring constant of 5710 N/m, is compressed by 0.45 m and used to launch a 15.5 kg mass from rest from point A across a frictionless surface and down a short hill that is H = 1.73 m high. The surface becomes rough at point B, and the mass comes to a stop at point C.
(a) How much work was done by friction between B and C?
(b) If the coefficient of kinetic friction between the mass and the rough surface is 0.53, how far will it travel before coming to rest? That is, determine the distance between point B and point C.