Stanton hit the second hardest homerun of the 2014 season with an initial speed

Question

Stanton hit the second hardest homerun of the 2014 season with an initial speed of 120 mph at an angle 20 degrees above the horizontal. If you are interested, you can find and watch the video of Giancarlo Stanton on the Pre-Lab Links page. You can also complete the following exercises without watching the video. We will investigate this homerun in some detail.

PL4. If the pitched ball was traveling 77 mph before Stanton’s bat hit it and 120 mph after his bat hit it, by what amount did the speed of Stanton’s bat decrease due to the collision? (Give your response as a positive value in units of miles per hour. Assume that the bat and ball are moving in a single dimension. A baseball has a weight of 5 ounces and the bat Stanton uses has a weight of 32 ounces.)

Explanation / Answer

Vi = initial speed of ball = - 77 mph = - 34.42 m/s

Vf = final velocity of ball = 120 mph = 53.64 m/s

m = mass of ball = 5 ounces = 0.142 kg

M = mass of bat = 32 ounces = 0.907 kg

Change in momentum of ball = m (Vf - Vi ) = 0.142 (53.64 - (-34.42)) = 12.50 kgm/s

change in momentum of bat = change in momentum of ball = 12.50

M (change in speed of bat ) = 12.50

change in speed of bat = 12.50 /0.907 = 13.8 m/s

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