Rope SwingYou want to go on a rope swing but you are concerned that the rope (which is 19 m long) might break. The ropeis rated for 3648 N. You have determined that at the lowest point of the swing you will be going 20 m/s. Assumeyour mass is 114 kg.Part 1 of 2Determine how much tension will be in the rope at the lowest point. Express your answer with the appropriatemks units.

Name: Rope SwingYou want to go on a rope swing but you are concerned that t
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Description: Rope SwingYou want to go on a rope swing but you are concerned that the rope (which is 19 m long) might break. The ropeis rated for 3648 N. You have determined that at the lowest point of the swing you will be going 20 m/s. Assumeyour mass is 114 kg

Answered: Rope Swing You want to go on a rope…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Rope Swing
You want to go on a rope swing but you are concerned that the rope (which is 19 m long) might break. The rope
is rated for 3648 N. You have determined that at the lowest point of the swing you will be going 20 m/s. Assume
your mass is 114 kg.
Part 1 of 2
Determine how much tension will be in the rope at the lowest point. Express your answer with the appropriate
mks units.

Expert Solution

Step 1

CONCEPT:

Given,

Length of the rope $l = 19 m$

Velocity of the person $v = 20 m / s$

Mass of the person $m = 114 k g$

At the lowest point of swing, The total tension in the rope = weight of the person + centrifugal force due to circular motion.

So, tension:

$T = m g + m \frac{v^{2}}{l}$

Where,

'T' is the tension

'g' is the acceleration due to gravity = 9.8 m/s²

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