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27 Nov 2019

You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a wide river. You find that you can run, grab the rope, and swing out over the river. You run at 2.0 m/s and grab the rope, launching yourself out over the river. How long must you hang on if you want to stay dry?

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Nelly Stracke
Nelly StrackeLv2
27 Nov 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Walking by a pond, you find a rope attached to a stout tree limb that is 5.2 m above ground level. You decide to use the rope to swing out over the pond. The rope is a bit frayed, but supports your weight. You estimate that the rope might break if the tension is 80 N greater than your weight. You grab the rope at a point 4.6 m from the limb and move back to swing out over the pond. (Model yourself as a point particle attached to the rope 4.6 m from the limb.) (a) What is the maximum safe initial angle between the rope and the vertical at which it will not break during the swing? (b) If you begin at this maximum angle, and the surface of the pond is 1.2 m below the level of the ground, with what speed will you enter the water if you let go of the rope when the rope is vertical?

Walking by a pond, you find a rope attached to a tree limb 5.2 moff the ground. You decide to use the rope to swing out over thepond. The rope is a bit frayed but supports your weight. Youestimate that the rope might break if the tension is 82 N greaterthan your weight. You grab the rope at a point 4.6 m from the limband move back to swing out over the pond. Assume your weight to be650 N (about 145 lb).
(a) What is the maximum safe initial angle between the rope and thevertical so that it will not break during the swing?
°

(b) If you begin at this maximum angle, and the surface of the pondis 1.2 m below the level of the ground, with what speed will youenter the water if you let go of the rope when the rope isvertical?
m/s

Walking by a pond, you find a rope attached to a tree limb 5.2 moff the ground. You decide to use the rope to swing out over thepond. The rope is a bit frayed but supports your weight. Youestimate that the rope might break if the tension is 84 N greaterthan your weight. You grab the rope at a point 4.6 m from the limband move back to swing out over the pond. Assume your weight to be650 N (about 145 lb).
(a) What is the maximum safe initial angle between the rope and thevertical so that it will not break during the swing?
1°

(b) If you begin at this maximum angle, and the surface of the pondis 1.2 m below the level of the ground, with what speed will youenter the water if you let go of the rope when the rope isvertical?
2 m/s

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