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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

Respuesta :

MechEngineer

Answer:

15.13 m/s

Explanation:

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

[tex]v = \sqrt{\frac{F_T}{\mu}}[/tex]

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

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

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