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)?

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

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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