Two children stretch a jump rope

Question

Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 4.3 m long, its mass is 0.56 kg, and the force exerted on it by the children is 35 N.

(a)

What is the linear mass density of the rope (in kg/m)?

 kg/m

(b)

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

 m/s

Answer 1

1. What is the linear mass density of the rope (in kg/m)?
2. Linear mass density = mass/length
3.  0.56kg ÷ 4.3m = 0.13kg/m
4. What is the speed of the waves on the rope (in m/s)?
5. speed = distance/time
6. Newton's Second Law is Force = mass * acceleration
7. 35N = 0.56 k * x m/s
8. 35N ÷ 0.56k = 62.5 m/s

Hope this helps!