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Tarzan (whose mass is 90.0 kg) plans to swing down, startingfrom rest, from a ledge using a light vine 7.4 m long. He holdsone end of the vine, and the other end is tied higher up on a tree,with the vine being 10 degrees from vertical. At the lowest pointof his swing, he plans to let go and drop a short distance to theground. If Tarzan missed the first chance to let go and drop tothe ground, how long after first beginning his swing will Tarzanreach his lowest point for the second time?

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sqdancefan

Answer:

  2.73 seconds

Step-by-step explanation:

The period in seconds of a simple pendulum is given by the formula ...

  [tex]T=2\pi\sqrt{\dfrac{L}{g}}=2\pi\sqrt{\dfrac{7.4}{9.8}}\approx 5.46[/tex]

After missing his first drop, Tarzan will have to wait 1/2 period before the next opportunity. He will reach the lowest point again 2.73 seconds after passing it the first time.

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