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 91.50 mph. Assuming the ball has a mass 143.0 g and has this speed just before a batter would make contact,                    how much kinetic energy does the ball have?                

                    Kball = _______________ J

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/s2.)                

                    hball = ______________ m

Explanation / Answer

velocity of the ball,v=91.50 mph=40.90 m/s

K(ball)=0.5*m*v^2

=0.5*(143/1000)*(40.90)^2

=119.61 J

loss in potential energy= gain in inetic energy

=>mgh -0 =119.61 -0

=>(143/1000)*9.81*h=119.61=85.35 m

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