A baseball player swings his bat with an angular velocity of 20 rad/s when he hits a baseball traveling perpendicular to the surface of the bat at 120 ft/s. The bat weighs 2 lb and the baseball is 0.32 lb. The coefficient of restitution between the ball and the bat is 0.7. The bat is 3.5 ft long and the end of the bat is 5.5 ft from the point of rotation. Assuming the bat is a slender rod of uniform mass, determine the velocity of the ball as it comes off the bat. Also determine the distance the ball will travel if it comes off the bat at an angle of 50°.

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A: For the solution refer below images.

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A:

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.