Transverse waves with a speed of 55.0 m/s are to be produced on a stretched string. A 5.05 m length of string with a total mass of 0.0600 kg is used.

Answer 1

To calculate the tension in the string, we can use the formula for the speed of a transverse wave on a string:

v = √(T/μ)

Where v is the wave speed, T is the tension in the string, and μ is the linear mass density of the string.

First, let's calculate the linear mass density:

μ = m/L

Where m is the total mass of the string (0.0600 kg) and L is the length of the string (5.05 m).

μ = 0.0600 kg / 5.05 m
μ ≈ 0.011881 kg/m

Now, we can rearrange the formula for the wave speed to solve for the tension:

T = μv^2

T = (0.011881 kg/m)(55.0 m/s)^2
T ≈ 35.1 N

So, the tension in the string is approximately 35.1 Newtons.