A 1.62 ounce golf ball is hit with a golf club and leaves it with a velocity of 100 mi/h. We assume that for 0 ≤ t ≤ t0, where t0 is the duration of the impact, the magnitude F of the force exerted on the ball can be expressed as F = Fmsin(πt/t0). Knowing that t0 = 0.5ms, determine the maximum value Fm of the force exerted on the ball. |

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