Answer to Question #299931 in Physics for Autumn

Question #299931

Enrico is sitting on a chair with wheels (on a frictionless floor) and is facing a wall d = 1.00 m in front of him. He throws a ball with initial velocity v = 6.00 m/s. After hitting the wall, the ball rebounds with the same kinetic energy. Let Enrico and his chair have mass M = 66.7 kg and let the ball have mass m = 100 g. The setup conserves momentum, so that when Enrico throws the ball, the impulse he imparts on the ball makes him and his chair move to the right at a constant velocity. Find the angle (in degrees) Enrico must throw the ball with respect to the horizontal so that he perfectly catches the ball after it bounces off the wall. You may assume that the height of Enrico’s chair is negligible.


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