A bat can be modeled as a long uniform rod rotated about one end. Treating a ball as a point particle and assuming it hits the end of the bat, such that the ball's momentum is perpendicular to the surface of the bat (as shown). Given the mass of the bat = 1.4 kg, the length of the bat = 0.75 m, the initial rotational velocity of the bat equal to 40 rad/s and the mass of the ball = 0.145 kg and the initial velocity of the ball equal to 20 m/s. a. What is the initial angular momentum of the bat/ball system?
A bat can be modeled as a long uniform rod rotated about one end. Treating a ball as a point particle and assuming it hits the end of the bat, such that the ball's momentum is perpendicular to the surface of the bat (as shown). Given the mass of the bat = 1.4 kg, the length of the bat = 0.75 m, the initial rotational velocity of the bat equal to 40 rad/s and the mass of the ball = 0.145 kg and the initial velocity of the ball equal to 20 m/s. a. What is the initial angular momentum of the bat/ball system?
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Transcribed Image Text:Open Response 2: This is a multi-part problem. Please answer all parts here.
A bat can be modeled as a long uniform rod rotated about one end. Treating a ball as a point
particle and assuming it hits the end of the bat, such that the ball's momentum is perpendicular
to the surface of the bat (as shown). Given the mass of the bat = 1.4 kg, the length of the bat =
0.75 m, the initial rotational velocity of the bat equal to 40-rad/s and the mass of the ball = 0.145
kg and the initial velocity of the ball equal to 20 m/s.
a. What is the initial angular momentum of the bat/ball system?
b. Assume that after being hit., the ball's velocity is equal and opposite to its initial velocity
What is the bat's final angular velocity?
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