Answer to Question #300524 in Physics for KeKo

Question

10m of rope has a mass of 2.0kg. When the speed of transverse waves along the rope is 6.0ms^-1 the tension in N is?

(a) 1.2 (b) 7.2 (c) 72.0) (d) 28.8 (e) 2880 answers

Answer 1

The speed of transverse waves along the rope is given by

$$v=\sqrt{T/(m/l)}$$

Hence, the tension in a string

$$T=mv^2/l\\ =2.0*6.0^2/10=7.2\:\rm N$$

Answer: (b)