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please show steps and equations used An estimated force-time curve for a basebal

ID: 1774414 • Letter: P

Question

please show steps and equations used

An estimated force-time curve for a baseball struck by a bat is shown in the graph. Determine, (a). the magnitude of the impulse delivered to the bal (b). the magnitude of the peak force exerted on the ball (c). the magnitude of the average force exerted on the ball. (d). Compare your resul in (c with the weight of the ball and determine whether or not the impulse approximation is valid in this situation. Take the mass to be 145 grams. F, (kiloNewtons) 15.0 5.0 1 (milliseconds)

Explanation / Answer

a)

Impulse delivered to the ball

I=area under the curve

I=(1/2)*1.2*13+(1.8-1.2)*13+(1/2)*13*(3.8-1.8)

I=28.6 N-s

b)

Peak force

FP=13 KN

c)

Average force

Favg=28.6/(3.8*10-3)=7.53 KN

d)

W=mg =(0.145)(9.81)=1.42N

Favg/W=7.53*103/1.42=5291