Problem

Once a favorite playground sport, dodgeball is becoming increasingly popular among adults...

Once a favorite playground sport, dodgeball is becoming increasingly popular among adults of all ages who want to stay in shape and who even form organized leagues. Gutball is a less popular variant of dodgeball in which players are allowed to bring their own (typically nonregulation) equipment and in which cheap shots to the face are permitted. In a gutball tournament against people half his age, a physics professor threw his 0.4-kg soccer ball at a kid throwing a 0.6-kg basketball. The balls collided in midair (see the figure), and the basketball flew off with an energy of 95.0 J at an angle of 32.0° relative to its initial path. Before the collision, the energy of the soccer ball was 100. J and the energy of the basketball was 112 J. At what angle and speed did the soccer ball move away from the collision?

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