Final answer:
The propagation speed of the pulse on a string with a tension provided by a spring stretched 2.00 cm and having a spring constant of 100 N/m is approximately 6.73 meters per second, calculated using the tension, the mass per unit length, and the formula v = √(T/μ).
Step-by-step explanation:
Propagation Speed Calculation
To find the propagation speed of a pulse in a string or wire, we can use the following formula which relates the tension (T) in the wire, the mass per unit length (μ), and the propagation speed (v):
v = √(T/μ)
For the case of the string with a mass of 150 g and a length of 3.4 m, and considering that the spring tension is provided by stretching the spring 2.00 cm (0.02 m) with a spring constant (ks) of 100 N/m, the effective tension (T) is calculated using Hooke's law:
T = ks * stretch = 100 N/m * 0.02 m = 2 N
The mass per unit length (μ) for the string is:
μ = mass / length = 150 g / 3.4 m = 0.15 kg / 3.4 m ≈ 0.0441 kg/m
Now, we can calculate the propagation speed (v):
v = √(2 N / 0.0441 kg/m) ≈ √(45.3515 m²/s²) ≈ 6.73 m/s
Thus, the propagation speed of the pulse on the string is approximately 6.73 meters per second.