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Jeff of the Jungle swings on a 7.6-m vine that initially makes an angle of 42 ∘ with the vertical.If Jeff starts at rest and has a mass of 78 kg , what is the tension in the vine at the lowest point of the swing?

Question

Jeff of the Jungle swings on a 7.6-m vine that initially makes an angle of 42 ∘ with the vertical.

If Jeff starts at rest and has a mass of 78 kg , what is the tension in the vine at the lowest point of the swing?

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Step 1

The below figure represents the swing of jeff of the jungle.

сс
L
A
В
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сс L A В

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Step 2
From the figure the height h is given by
h= L- L cose
L(1-cos e)
=(7.6m)(1-cos420)
-
1.95m
From conservation of energy total energy is conserved
1
mgh
2
2 gh
1
2(9.8m/s)(1.95m)
=6.18m/s
1]
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From the figure the height h is given by h= L- L cose L(1-cos e) =(7.6m)(1-cos420) - 1.95m From conservation of energy total energy is conserved 1 mgh 2 2 gh 1 2(9.8m/s)(1.95m) =6.18m/s 1]

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