Question

A rope with a linear mass density of 0.005 kg/m transmits waves at 100 m/s, what is the tension on the rope?

A) 0.5 N
B) 1 N
C) 2 N
D) 5 N

Answer 1

The tension on the rope is D) 5 N.

Step-by-step explanation:

The tension on the rope can be calculated using the following equation:

• T = μ * v^2

where:

• T is the tension in Newtons (N)

• μ is the linear mass density of the rope in kilograms per meter (kg/m)

• v is the wave speed in meters per second (m/s)

Plugging in the given values:

• μ = 0.005 kg/m

• v = 100 m/s

• T = 0.005 kg/m * (100 m/s)^2 = 5 N

Therefore, the tension on the rope is D) 5 N.