Physics

Problem

0.15\,\text{kg}

baseball approaches a catcher at

38\,\text{m}\,\text{s}^{-1}

(toward the catcher). The catcher brings the ball to rest in

0.120\,\text{s}

by applying a force that rises linearly from

0

to a maximum value

F_{\text{max}}

during the first third of the time interval, remains constant at

F_{\text{max}}

during the next third, and decreases linearly back to

0

during the final third. Determine the numerical value of

F_{\text{max}}

in newtons.