Gif of the guy doing the juggling http://umdberg.pbworks.com/w/file/111462118/Ju

Question

Gif of the guy doing the juggling

http://umdberg.pbworks.com/w/file/111462118/Juggler.gif

Suppose the net force on the ball while it is in his hand can be approximated by the force vs. time graph shown at the right. Write an equation that would allow you to calculate the speed, vI, with which the ball leaves his hand if you knew the values of F0 (the maximum net force), m (the mass of the tennis ball), and t0.

vI =  

C. If the tennis ball has a mass of 50 g, and the initial velocity was measured to be vI = 2 m/s, find the maximum upward net force on the ball in this model if he held the ball for 1 s before releasing it.

F0 =  N

Gif of the guy doing the juggling

http://umdberg.pbworks.com/w/file/111462118/Juggler.gif

Suppose the net force on the ball while it is in his hand can be approximated by the force vs. time graph shown at the right. Write an equation that would allow you to calculate the speed, vI, with which the ball leaves his hand if you knew the values of F0 (the maximum net force), m (the mass of the tennis ball), and t0.

vI =  

Explanation / Answer

given, Fo ( maximum net force)

m = Mass of tennis ball

to = time spent in juggler's hand

now if the initial velocity of the ball is -Vl, then the final velocity is Vl, i.e. the juggles provides force to invert the momentum of the ball, whose magnitude remains the same

also, change in momentum of the ball is given by area under the force time graph

hence change in momentum dP = 0.5*Fo*to

so initial momentum + change in momentum = final momentum

-mVl + 0.5Foto = mVl

Vl = fO*TO/4m

c. if m = 0.05 kg

vl = 2 m/s

to = 1s

then 2 = Fo*1/4*0.05

Fo = 0.4 N

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