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# A playground merry-go-round has radius 2.40 m and moment ISBN: 9780321675460 31

## Solution for problem 31E Chapter 10

University Physics | 13th Edition

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Problem 31E

A playground merry-go-round has radius 2.40 m and moment of inertia 2100 kg• 2 ? m? about a vertical axle through its center, and it turns with negligible friction. (a) A child applies an 18.0-N force tangentially to the edge of the merry-go-round for 15.0 s. If the merry-go-round is initially at rest, what is its angular speed after this 15.0-s interval? (b) How much work did the child do on the merry-go-round? (c) What is the average power supplied by the child?

Step-by-Step Solution:

Solution 31E Step 1 of 7: In the given problem, a merry-go-round has radius r= 2.4 m and the moment of inertia 2 about the vertical axis is I=2100 kg.m and a child applies F= 18 N tangential force at the edge for t= 15 s. We need to calculate the angular speed after 15s , work done by child and average power supplied by child. Given data, Radius, r = 2.4 m Moment of inertia, I=2100 kg.m 2 Force applied, F=18 N Time interval, t= 15 s To find, Angular speed after 15s , = f Work done by child, W= Average power, P=

Step 2 of 7

Step 3 of 7

##### ISBN: 9780321675460

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A playground merry-go-round has radius 2.40 m and moment