A baseball player uses a bat with mass mbat to hit a ball with mass mball. Right

Question

A baseball player uses a bat with mass mbat to hit a ball with mass mball. Right before he hits the ball, the bat's initial velocity is 27 m/s, and the ball's initial velocity is -33 m/s (the positive direction is along the positive x-axis). The bat and ball undergo a one-dimensional elastic collision. Find the speed of the ball after the collision. Assume that mbat is much greater than mball, so the center of mass of the two objects is essentially at the bat.

Explanation / Answer

for elastic collision by using formula for elastic collision velocity of ball ={(Mbal-Mbat)*(-33) +2Mbat*27}/(Mbat+Mball ) as Mbat >> Mball we get final v of ball = (33Mbat +54Mbat)/Mbat =87 m/s

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