Question

part c

a rope with a mass density of 1 kg/m has one end tied to a vertical support. you hold the other end so that the rope is horizontal and has a tension of 4 n. if you move the end of the rope back and forth, you produce a transverse wave in the rope with a wave speed of 2 m/s. if you double the amount of tension you exert on the rope, what is the wave speed?

• 1.0 m/s
• 2.8 m/s
• 0.25 m/s
• 2.0 m/s
• 4.0 m/s

part d

you are making a telephone out of two aluminum cans and some string. you can choose between two types of string: a 2-m length of thin cooking twine or a 2-m length of heavy rope, both used at the same tension. which type of string should you use so that you have the fastest wave speed in your telephone? (figure 1)

• you can choose either because they are the same length and will produce the same wave speed.
• you should use the thin cooking twine.
• you should use the heavy rope.

Explanation:

Calculate the new wave speed for Part C

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Determine the string for the fastest wave speed in Part D

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Answer:

Question 1

• (A) 1.0 m/s
• (B) 2.8 m/s (Correct answer)
• (C) 0.25 m/s
• (D) 2.0 m/s
• (E) 4.0 m/s

Question 2

• (A) You can choose either because they are the same length and will produce the same wave speed.
• (B) You should use the thin cooking twine (Correct answer)
• (C) You should use the heavy rope.