Two children (m = 28.0 kg each) stand opposite each other on the edge of a merry-go-round. The merry-go- round, which has a mass of 1.62 x 102 kg and a radius of 1.4 m, is spinning at a constant rate of 0.32 rev/s. Treat the two children and the merry-go-round as a system. (a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.) kg · m2/s (b) Calculate the total kinetic energy of the system. (c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular speed of the system. rad/s

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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Two children (m = 28.0 kg each) stand opposite each other on the edge of a merry-go-round. The merry-go-
round, which has a mass of 1.62 x 102 kg and a radius of 1.4 m, is spinning at a constant rate of 0.32 rev/s.
Treat the two children and the merry-go-round as a system.
(a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.)
kg • m2/s
(b) Calculate the total kinetic energy of the system.
(c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular
speed of the system.
rad/s
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Transcribed Image Text:Two children (m = 28.0 kg each) stand opposite each other on the edge of a merry-go-round. The merry-go- round, which has a mass of 1.62 x 102 kg and a radius of 1.4 m, is spinning at a constant rate of 0.32 rev/s. Treat the two children and the merry-go-round as a system. (a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.) kg • m2/s (b) Calculate the total kinetic energy of the system. (c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular speed of the system. rad/s Need Help? Read It Master It
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