After having been pushed by an airline employee, an empty 80-lb luggage carrier A hits with a

Question:

After having been pushed by an airline employee, an empty 80-lb luggage carrier A hits with a velocity of 15 ft/s an identical carrier B containing a 30-lb suitcase equipped with rollers. The impact causes the suitcase to roll into the left wall of carrier B. Knowing that the coefficient of restitution between the two carriers is 0.80 and the coefficient of restitution between the suitcase and the wall of the carrier is 0.30, determine

(a) The velocity of carrier B after the suitcase hits the wall for the first time,

(b) The total energy lost in the impact.