As part of a carnival game, a m, = 0.503 kg ball is thrown at a stack of 22.8 cm tall, m, = 0.363 kg objects and hits with a perfectly horizontal velocity of v»j = 11.6 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of vpf = 3.35 m/s in the same direction, the topmost object has an angular velocity of @, = 2.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.0 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? I, = kg -m? What is the center of mass velocity vo,em of the tall object immediately after it is struck? Vo,cm m/s

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 17P: A tennis ball of mass 57.0 g is held just above a basketball of mass 500 g as shown in Figure P9.17....
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As part of a carnival game, a ?b=0.503 kgmb=0.503 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.363 kgmo=0.363 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.6 m/s.vb,i=11.6 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.35 m/svb,f=3.35 m/s in the same direction, the topmost object has an angular velocity of ?o=2.03 rad/sωo=2.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible.

If the object's center of mass is located ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?

As part of a carnival game, a mp = 0.503 kg ball is thrown at a stack of 22.8 cm tall, m, = 0.363 kg objects and hits with a
perfectly horizontal velocity of v,j = 11.6 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision,
the ball has a horizontal velocity of vp,f = 3.35 m/s in the same direction, the topmost object has an angular velocity of
w, = 2.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and
that the effect of the torque due to gravity during the collision is negligible.
If the object's center of mass is located r = 16.0 cm below the point where the ball hits, what is the moment of inertia I, of the
object about its center of mass?
I, =
kg -m?
What is the center of mass velocity vocm of the tall object immediately after it is struck?
Vo,cm =
m/s
Transcribed Image Text:As part of a carnival game, a mp = 0.503 kg ball is thrown at a stack of 22.8 cm tall, m, = 0.363 kg objects and hits with a perfectly horizontal velocity of v,j = 11.6 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of vp,f = 3.35 m/s in the same direction, the topmost object has an angular velocity of w, = 2.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.0 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? I, = kg -m? What is the center of mass velocity vocm of the tall object immediately after it is struck? Vo,cm = m/s
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