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.
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.