Harold the Hurler is a physics student who is renowned for his baseball pitching

Question

Harold the Hurler is a physics student who is renowned for his baseball pitching arm. In order to determine the amount of work he performs in throwing a baseball, Harold devises an experiment. He stands at the bottom of a deep pit and hurls a 148-g baseball through an open third-floor window in a nearby building. Harold's aim is so accurate that the ball then smoothly enters the tube of the Baseball Absorber that Harold invented and patented. In this device the ball compresses a spring until it comes momentarily to rest, and this maximum amount of compression is recorded as 43.9 cm. The spring's force constant is 835 N/m, and the position of the baseball's momentary rest is 7.13 m above ground level. The point in the pit where the Hurler starts his pitch is 10.3 m below ground level. How much work does Harold perform on the baseball? Take g = 9.80 m/s2.

= ? J

Explanation / Answer

work done =change in energy
=m*g*(10.3+7.13) +k*x*x/2

=.148*9.8*17.43+ 835*.439*.439/2

=
=105.741472J

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