Question

# Two wires are parallel, and one is directly above the other. Each has a length of...

Two wires are parallel, and one is directly above the other. Each has a length of 38.6 m and a mass per unit length of 0.0267 kg/m. However, the tension in wire A is 47.3 × 102 N, while the tension in wire B is 1.50 × 102 N. Transverse wave pulses are generated simultaneously, one at the left end of wire A and one at the right end of wire B. The pulses travel toward each other. How much time does it take until the pulses pass each other?

Let us consider that the speed of pulse on wire A is v1 and that of on wire B is v2.

And consider that time t is taken by the pulses to pass each other.

so we have -

v1*t + v2*t = 38.6

=> t*(v1 + v2) = 38.6

=> t = 38.6 / (v1+v2)--------------------------------------(i)

again we have -

v1 = sqrt[4730/0.0267] = 420.9 m/s

and v2 = sqrt[150/0.0267] = 75.0 m/s

Substituting these values in (i) -
t = 38.6 / (420.9 + 75.0) = 0.0778 s. = 77.8 ms.

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