An airplane employee tosses a 15-kg suitcase with a horizontal velocity of 3 m/s onto a 35-kg baggage carrier. Knowing that the carrier is initially at rest and can roll freely, determine (a) the velocity of the carrier after the suitcase has slid to a relative stop on the carrier, (b) the ratio of the final kinetic energy of the carrier and suitcase to the initial kinetic energy of the suitcase.