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Scrat [10]
3 years ago
13

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 0.4

2 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)?
Physics
1 answer:
lions [1.4K]3 years ago
7 0

Answer:

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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v=u+at\\\Rightarrow 0.12\times 3\times 10^8=0+9.8t\\\Rightarrow t=\frac{0.12\times 3\times 10^8}{9.8}=3673469.39\ s

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