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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An ethernet cable is 4.00 m long and has a mass of 0.200 kg. A transverse wave pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.800 s. What is the tension in the cable?

To determine
The tension in the cable.

Explanation

Given info: An Ethernet cable is 4.00 m long and has a mass of 0.200 kg.

The pulse makes four trips down and back along the cable in 0.800 s.

The wave speed in a stretched string is given as,

v=Fμ

  • v is the wave speed
  • F is the tension in the string
  • μ is the mass of the string per unit length or the linear density of the string

Solving for the tension,

F=μv2 (1)

Since the cable is 4.00 m long and has a mass of 0.200 kg. The linear density of the cable is,

μ=0.200kg4.00m=5.00×102kgm-1

The distance covered in moving down and back once is 4.00m+4.00m=8.00m

Since the pulse makes four trips down and back along the cable in 0.800 s, the speed of the wave is,

v=4(8

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