A 750 kg car is stalled on an icy road during a snowstorm. A 1000 kg car traveling eastbound at 10 m/s collides with the rear of the stalled car. After being hit, the 750 kg car slides on the ice at 4 m/s in a direction 30° north of east. (a) What are the magnitude and direction of the velocity of the 1000 kg car after the collision? (b) Calculate the ratio of the kinetic energy of the two cars just after the collision to that just before the collision. (You may ignore the effects of friction during the collision.)
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