A 4.8-m-long rope of mass 1.8 kg hangs from a ceiling. Part DWhat is the wave speed in the rope at the top end?Express your answer to two significant figures and include appropriate units.HẢ?ValueUnitsSubmitRequest Answer

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Description: A 4.8-m-long rope of mass 1.8 kg hangs from a ceiling. Part DWhat is the wave speed in the rope at the top end?Express your answer to two significant figures and include appropriate units.HẢ?ValueUnitsSubmitRequest Answer

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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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A 4.8-m-long rope of mass 1.8 kg hangs from a ceiling.

Part D
What is the wave speed in the rope at the top end?
Express your answer to two significant figures and include appropriate units.
HẢ
?
Value
Units
Submit
Request Answer

Expert Solution

Step 1

The rope has mass M = 1.8 kg and length L = 4.8 m. It is suspended vertically so the tension in it will be different at different points. For a point at a distance x from the free end, tension will be due to the weight of the string below it. The linear mass density of the rope,

$μ = \frac{M}{L}$

The mass of length x of the rope will be $μx$ .

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