6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and radius of 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg.m2. The child catches a ball of mass 1.0 kg thrown by a friend. Just before the ball is caught, it has horizontal velocity v of magnitude 12 m/s, at an angle 0= 37° with a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught? O Ball )Child

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...
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6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and
radius of 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg.m2.
The child catches a ball of mass 1.0 kg thrown by a friend. Just before the ball is caught, it has
horizontal velocity v of magnitude 12 m/s, at an angle 0= 37° with a line tangent to the outer
edge of the merry-go-round, as shown.
What is the angular speed of the merry-go-round just after the ball is caught?
Ball
Child
Transcribed Image Text:6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and radius of 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg.m2. The child catches a ball of mass 1.0 kg thrown by a friend. Just before the ball is caught, it has horizontal velocity v of magnitude 12 m/s, at an angle 0= 37° with a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught? Ball Child
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