A 6.00-m length of rope has a mass of 700 g. It is pulled taught with a force of 100 N. What is the speed of waves on the rope?
A) 29.3 m/s
B) 11.7 m/s
C) 42.0 m/s
D) 3.42 m/s
E) 4.20 m/s

Question

Quizplus · Accepted Answer

The speed of waves on a rope can be calculated using the formula:

v = √(F/μ)

where v is the speed of waves, F is the tension force applied to the rope, and μ is the linear density (mass per unit length) of the rope.

First, we need to calculate the linear density of the rope:

μ = m/L

where m is the mass of the rope and L is the length of the rope.

μ = (0.7 kg)/(6.00 m) = 0.117 kg/m

Now we can plug in the values in the formula:

v = √(100 N / 0.117 kg/m) = 29.3 m/s

Therefore, the answer is A) 29.3 m/s.

A 600-M Length of Rope Has a Mass of 700 G