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17 November, 06:42

Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 4.5 m long, its mass is 0.42 kg, and the force exerted on it by the children is 71 N. (a) What is the linear mass density of the rope (in kg/m) ?

(b) What is the speed of the waves on the rope (in m/s) ?

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Answers (1)
  1. 17 November, 08:56
    0
    density = 0.0933 kg/m

    speed = 27.581 m/s

    Explanation:

    given data

    length L = 4.5 m

    mass m = 0.42 kg

    force F = 71 N

    to find out

    mass density and speed

    solution

    we find linear mass density

    linear mass density = mass / length

    put here all value

    density = 0.42 / 4.5

    density = 0.0933 kg/m

    and

    speed of wave

    speed = √ (F/density)

    speed = √ (0.42/0.933)

    speed = 27.581 m/s
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