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A child is sitting on the sear of a swing with ropes 5m long. Her father...

A child is sitting on the sear of a swing with ropes 5m long. Her father pulls the swing back until the ropes make a 30 degree angle with the verticle and then releases the swing. If air resistance is neglected, what is the speed of the child at the bottom of the arc of the swing when the ropes are vertical.

A: 1.8 m/s

B: 7.3 m/s

C: 1.4 m/s

D: 6.3 m/s

E: 3.6 m/s

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Answer #1

First, find the initial vertical height

Consider the figure

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At the bottom of the arc, initial potential energy will be converted into kinetic energy

ANSWER: Option E: 3.6m/s

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