A small object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. The upper end of the rope is attached to the ceiling. As the object swings through its lowest position, where the rope is vertical, the speed of the object is 3.30 m/s. At this point in the motion, what is the tension in the rope? (Use g=9.80m/s2.)

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
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A small object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. The upper end of the rope is attached to the ceiling. As the object swings through its lowest position, where the rope is vertical, the speed of the object is 3.30 m/s. At this point in the motion, what is the tension in the rope? (Use g=9.80m/s2.)

Expert Solution
Step 1

Given : 

Mass (m) = 0.20 kg 

Length of rope (L) = R = 3.0 m 

Speed of object (v) = 3.30 m/s 

Acceleration due to gravity (g) = 9.80 m/s

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