Question

Question is in the uploaded photo

Answer 1

Answer:

1) Mass of the string = 0.0267kg

Explanation:

1) In the above question, we are given:

Length of guitar string = 60cm

Wave speed = 30.0m/s

Tension = 50N

9.81 N = 1 kg

50N = 50/9.81

= 5.10kg

We have the formula

v = √(F/μ)

Where F = the tension in the string in newtons,

v = the wave speed in m/s

μ = the mass per unit length of the string in kg/m

The formula for μ is derived as

v = √(F/μ)

Square both sides

v² = [√(F/μ)]²

v² = F/μ

μ = F/v²

From the question,

μ = 40/ 30.0²

μ = 0.044kg/m

To calculate the mass of the string we use the formula

μ = Mt / Lt = total mass/total length.

Total length = 60cm

In meters = 0.60m

0.044kg/m = Mt/ 0.60m

Mt = 0.0266666667kg

Mass of the string = Approximately 0.0267kg

2)