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)
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)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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)
Expert Solution
Step 1
The centripetal force acts in the inward direction along the string.
So the net force equation is
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