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

johnellis

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

What will be the speed of these waves (in terms of V) if we double M without stretching the wire?
V_{1} =

Part B -
What will be the speed of these waves (in terms of V) if we replace the wire with an identical one, except twice as long?
V_{2} =

Part C -
What will be the speed of these waves (in terms of V) if we replace the wire with one of the same length, but three times as heavy?
V_{3} =

Part D -
What will be the speed of these waves (in terms of V) if we stretch the wire to twice its original length?
V_{4} =

Part E -
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?
V_{5} =
 
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