Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 2.6 m long, its mass is 0.5 kg, and the

Question

Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 2.6 m long, its mass is 0.5 kg, and the force exerted by the children is 44 N. What is the speed of the waves on the rope

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Doris 3 years 2021-08-25T02:02:04+00:00 1 Answers 101 views 0

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    2021-08-25T02:04:02+00:00

    Answer:

    15.13 m/s

    Explanation:

    The wave speed of the stretched rope can be calculated using the following formula

    v = \sqrt{\frac{F_T}{\mu}}

    where F_T = 44N is the tension on the rope and \mu = m/L = 0.5 / 2.6 = 0.1923 kg/m is the density of the rope per unit length

    v = \sqrt{\frac{44}{0.1923}} = \sqrt{228.8} = 15.13 m/s

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