A 4.0-m-diameter playground merry-go-round, with a moment of inertia of 400 kg ⋅ m2, is freely rotating with an angular velocity of 2.0 rad/s. Ryan, whose mass is 80 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on?A. 2.0 m/sB. 4.0 m/sC. 5.0 m/sD. 7.5 m/sE. 10 m/s

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 45PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...
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A 4.0-m-diameter playground merry-go-round, with a moment of inertia of 400 kg ⋅ m2, is freely rotating with an angular velocity of 2.0 rad/s. Ryan, whose mass is 80 kg, runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. Still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. How fast was Ryan running when he jumped on?
A. 2.0 m/s
B. 4.0 m/s
C. 5.0 m/s
D. 7.5 m/s
E. 10 m/s

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