Question

879 A person is swinging a bat with angular velocity of 30 rad/s about its end. A ball is traveling to the left at 10 m/s. Mass of the bat is 3 kg and mas of the ball is 1 kg. a) Bat hits the ball back along the same path, and it travels in the opposite direction at the same speed. Find the magnitude and direction of an average force the bat exerted on the ball during the 0.01 second contact between the ball and the bat. (Use Impulse-Momentum) Find the final angular velocity of the bat after collision with the ball. Assume that a bat is a rod rotating about its end. Use conservation of angular momentum) b) 10 points Act Windows

Answer 1

a)

F = m ( v - u) / t = 1 ( 10 - ( - 10)) / 0.01

F = 2000 N

directed to the right

b)

let us assune the length of bat L = 1 m

using conservation of angular momentum

I w1 + m u r = mvr + I w2

(1/3) ML^2 w1 = m L ( v - u) + (1/3) ML^2 w2

30 = 1* 1* ( 10 + 10) + w2

w2 = 10 rad/s

=====

Comment before rate in case any doubt, will reply for sure.. goodluck