PHY QUESTION~~~~~hurry!!!!

2009-10-04 12:17 pm
Jeff of the Jungle swings on a 7.6 m vine that initially makes an angle of 47 degree with the vertical.If Jeff starts at rest and has a mass of 73 kg, what is the tension in the vine at the lowest point of the swing?

回答 (1)

2009-10-04 6:49 pm
✔ 最佳答案
By the law of conservation of energy,

Loss of G.P.E. = Gain of K.E.

mgh(1 - cos@) = 1/2 mv2

v = sqrt[2gh(1 - cos@)]

v = sqrt[2(10)(7.6)(1 - cos47*)]

Speed at the lowest point, v = 6.95 ms-1

At the lowest point,

T - mg = mv2 / h

T = mg + mv2 / h

T = (73)(10) + (73)(6.95)2 / 7.6

Tension, T = 1.19 X 103 N

參考: Physics king


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