Problem 3) Momentum and Impulse I: ro.y A 0.280 kg volleyball approaches a playe

Question

Problem 3) Momentum and Impulse I: ro.y A 0.280 kg volleyball approaches a player horizontally with a velocity of 15.0 m/s to the right. The player strikes the ball with her fist, exerting a force to the lef. a) During the impact of the fist on the ball, was there an external force acting on the ball? b) Assuming that the fist is in contact with the bal for 0.0600 s and exerts an average force c) Use your answer to b) to find the velocity (speed and direction!) of the ball after contact Does this tell you that the ball's momentum was conserved or did it change? of 170 N (to the left, of course) on the ball, find the change in momentum of the ball. with the fist. (c) -21.4 m/s Problem 3 (b)-10.2 kgm/s

Explanation / Answer

Solution:

a) During the impact there is no external force acting on the ball , so the momentum of the ball should be conserved.

b) Change in momeuntum is given By impulse i.e

=> m(v-u) = F.t where v , u are final and initial speed of the ball

so change in momentum = F.t

Change in momentum = - 170 x 0.0600 ( Force is Negative as it is towards left)

Change is momentum = -10.2 kg m/s

c) Now using the formula,

mv - mu = F.t

m(v-u) = F.t

=> v - u = F.t / m

=> v - u = -10.2 / 0.280

=> v - u = -36.428 m/s

=> v = -36.428 + 15

=> v = -21.42 m/s

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