Force of a Baseball Swing. A baseball has mass0.145 kg. (a) If the velocity of a

Question

Force of a Baseball Swing. A baseball has mass0.145 kg. (a) If the velocity of a pitched ball has amagnitude of 46.0 m/s and the battedball's velocity is 57.0 m/s in theopposite direction, find the magnitude of the change in momentum ofthe ball and of the impulse applied to it by the bat.
1 kg·m/s (change in momentum)
2 kg·m/s (impulse)

(b) If the ball remains in contact with the bat for 2.00 ms, findthe magnitude of the average force applied by the bat.
3 N
(a) If the velocity of a pitched ball has amagnitude of 46.0 m/s and the battedball's velocity is 57.0 m/s in theopposite direction, find the magnitude of the change in momentum ofthe ball and of the impulse applied to it by the bat.
1 kg·m/s (change in momentum)
2 kg·m/s (impulse)

(b) If the ball remains in contact with the bat for 2.00 ms, findthe magnitude of the average force applied by the bat.
3 N

Explanation / Answer

(a)If the velocityof a pitched ball has a magnitude of 46.0 m/s and the batted ball's velocity is 57.0m/s in the opposite direction, find themagnitude of the change in momentum of the ball and of the impulseapplied to it by the bat.
   (1) 14.93 kg·m/s(change in momentum) = m*(v_2) - m*(v_1) = (0.145)*(57) - (0.145)*(-46)
  (2) 14.93 kg·m/s (impulse) = {Change In Momentum}

(b) If the ball remains in contact with thebat for 2.00 ms, find the magnitude of the average force applied bythe bat.
{Average Force} = {Impulse}/t = (14.93)/(2.0e-3)
   (3) 7465 N

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