Problem: When a mass M hangs from a vertical wire of length L, waves travel on this wire with a speed V.A. What will be the speed of these waves (in terms of V) if we stretch the wire to twice its original length?B. What will be the speed of these waves (in terms of V) if we increase M by a factor of 10.0, which stretches the wire to double its original length?

FREE Expert Solution

Speed of wave on a wire of length L and mass M is:

v=MgLm

A.

If the length is stretched two times:

v' = sqrt[(Mg(2L)/m] 

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Problem Details

When a mass M hangs from a vertical wire of length L, waves travel on this wire with a speed V.

A. What will be the speed of these waves (in terms of V) if we stretch the wire to twice its original length?

B. What will be the speed of these waves (in terms of V) if we increase M by a factor of 10.0, which stretches the wire to double its original length?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Waves on a String concept. You can view video lessons to learn Waves on a String. Or if you need more Waves on a String practice, you can also practice Waves on a String practice problems.