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Professional baseball pitchers can deliver a pitch which can reach the blazing s

ID: 1998152 • Letter: P

Question

Professional baseball pitchers can deliver a pitch which can reach the blazing speed of 100 mph (miles per hour). A local team has drafted an up-and-coming left handed pitcher who can consistently throw at 43.58 m/s (97 .50 mph). Assuming the ball has a mass 0.1430 kg and has this speed just before a batter would make contact, how much kinetic energy does the ball have? K_ball = How high would the ball need to be dropped from to attain the same energy (neglect air resistance)? (The acceleration due to gravity is 9.81 m/s^2.) h_ball =

Explanation / Answer

a) Kinetic energy: .5xmxv^2 = .5x.143x 43.58^2 = 135.8J

b) Energy =mgh = 135.8

So, h = 96.8m

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