An object with m1 = 5kg is attached to a spring ofnegligible mass. This mass/spring combination is then slidhorizontally on a frictionless surface with a velocity of 5m/stowards a stationary object with m2 = 6kg. Upon impact,the spring compresses, then we examine two cases. First, find thevelocities of the two objects assuming the spring completelyrelaxes again after the interaction. Second, assume thatm2, after they separate, slides up a frictionlessincline.
(a) What is the relative speed of the masses when the spring ismaximally compressed?
(b) When the spring is completely compressed, how much potentialenergy does it have?
(c) If the spring constant is k = 2000 N/m, by how much (whatdistance) is the spring compressed at that point?
(d) If the spring relaxes while still on at ground, what is thekinetic energy of m2 just before it slides up thehill?
(e) If there is no friction on the hill, how high up the hilldoes m2 go?
(f) If there is friction on the hill, and m2 goes upthe hill to a height of 0.5 meters, how much energy wasdissipated?
