10. How far does a transverse pulse travel in 1.23 ms on a string with a density of 5.47 × 10−3 kg/m under tension of 47.8 How far will this pulse travel in the same time if the tension is doubled?

Tension = 47.8N, Δx = 11.5× m.

              Tension = 95.6N, Δx = 15.4× m

Explanation: A speed of wave on a string under a tension force can be calculated as:

is tension force (N)

μ is linear density (kg/m)

Determining velocity:

0.0935 m/s

The displacement a pulse traveled in 1.23ms:

Δx = 11.5×

With tension of 47.8N, a pulse will travel Δx = 11.5×  m.

Doubling Tension:

|v| = 0.1252 m/s

Displacement for same time:

15.4×

With doubled tension, it travels 15.4× m

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