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Problem: The fastest pitched baseball was clocked at 46 m/s. Assume that the pitcher exerted his force (assumed to be horizontal and constant) over a distance of 1.0 m, and a baseball has a mass of 145 g. (a) What force did the pitcher exert on the ball during this record-setting pitch? (b) Estimate the force in Part (a) as a fraction of the pitcher

FREE Expert Solution

Impulse:

J=F·t=m·v

Uniform accelerated motion (UAM) equations, a.k.a. "kinematics equations":

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

We have:

  • v0 = 0 m/s
  • vf = 46 m/s
  • Δx = 1.0 m
  • t = ?
  • a = ?

We have two options for determining F: 

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Problem Details

The fastest pitched baseball was clocked at 46 m/s. Assume that the pitcher exerted his force (assumed to be horizontal and constant) over a distance of 1.0 m, and a baseball has a mass of 145 g. 

(a) What force did the pitcher exert on the ball during this record-setting pitch? 

(b) Estimate the force in Part (a) as a fraction of the pitcher

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