A girl with a mass of 27 kg is playing on a swing. There are three main forces acting on her at any time: gravity, force due to centripetal acceleration, and the tension in the swing's chain (ignore the effects of air resistance). At the instant shown in the image below, she is at the bottom of the swing and is traveling at a constant speed of 3 m/s. What is the tension in the swing's chain at this time? (Recall that g = 9.8 m/s2)

An Introduction to Physical Science
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Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
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Chapter1: Measurement
Section: Chapter Questions
Problem 8FIB: Unlike mass, weight is not a(n) ___ property. (1.4)
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A girl with a mass of 27 kg is playing on a swing. There are three main forces acting on her at any time: gravity, force due to centripetal acceleration, and the tension in the swing's chain (ignore the effects of air resistance). At the instant shown in the image below, she is at the bottom of the swing and is traveling at a constant speed of 3 m/s. What is the tension in the swing's chain at this time? (Recall that g = 9.8 m/s2)
Tension
4m
3 m/s
|-
Weight
Transcribed Image Text:Tension 4m 3 m/s |- Weight
Expert Solution
Step 1

The centripetal force acts in the inward direction along the string.

So the net force equation is

T-mg=FC

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