A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kg · m² /s. A boy of mass 50 kg runs tangent to the rim at a speed of 4.0 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity right after the boy jumps on? (Hint: Total energy must be conserved; calculate the final moment of inertia of the system) O 1.6 rad/s O 0.16 rad/s O 1.3 rad/s O none of the above

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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A merry-go-round has a radius of 2.0 m and a
moment of inertia 300 kg · m² /s. A boy of mass 50
kg runs tangent to the rim at a speed of 4.0 m/s and
jumps on. If the merry-go-round is initially at rest,
what is the angular velocity right after the boy jumps
on?
(Hint: Total energy must be conserved; calculate the
final moment of inertia of the system)
O 1.6 rad/s
O 0.16 rad/s
O 1.3 rad/s
none of the above
Transcribed Image Text:A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kg · m² /s. A boy of mass 50 kg runs tangent to the rim at a speed of 4.0 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity right after the boy jumps on? (Hint: Total energy must be conserved; calculate the final moment of inertia of the system) O 1.6 rad/s O 0.16 rad/s O 1.3 rad/s none of the above
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