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

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 99.00 mph. Assuming the ball has a mass 142.2 g and has this speed just before a batter would make contact, how much kinetic energy does the ball have? Number 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.) Number ball

Explanation / Answer

Final speed of the ball

v = 99 mph

v = 99 x 0.44704 m/s

v = 44.25 m/s

mass of the ball

m = 142.2 g

m = 142.2 /1000 Kg

m = 0.1422 kg

kinetic energy

Kball = ½ mv2

Kball = ½ x 0.1422 x 44.252

Kball = 139.2 J

The must be dropped from a certain height which will provide it enough potential energy that can be converted into kinetic energy of this magnitude

Kball = mghball

139.2 = 0.1422 x 9.81 x hball

hball = 99.79 m

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