Chapter 13.3, Problem 13.140P

A 1.6 2-oz golf ball is hit with a golf club and leaves it with a velocity of 100 mi/h. We assume that for $0\le t\le t_0$, where t₀ is the duration of the impact, the magnitude F of the force exerted on the ball can be expressed as $F=F_{m}sin \left(\pi t/{\pi }_0\right)$ Knowing that $t_0=0.5$ ms, determine the maximum value $F_m$ of the force exerted on the ball.