Respuesta :
Given:
• Length of string, L = 128 cm
,• Mass, m = 2 g
,• Speed, v = 40 m/s
Let's find the tension in the string.
To find the tension in the string, apply the formula:
[tex]v=\sqrt{\frac{T}{\mu}}[/tex]Where:
v is the speed
T is the tension
μ is the linear density.
Rewrite the formula for T:
[tex]T=v^2*\mu[/tex]• To solve for μ, we have:
[tex]\mu=\frac{m}{l}[/tex]Where:
m is the mass (2g) in kg = 2 x 10⁻³ kg
L is the length in meters = 1.28 m
Hence, we have:
[tex]\begin{gathered} \mu=\frac{2*10^{-3}}{1.28} \\ \\ \mu=0.0015625 \end{gathered}[/tex]Now, to find the tension, we have:
[tex]\begin{gathered} T=v^2*\mu \\ \\ T=40^2*0.0015625 \\ \\ T=1600*0.0015625 \\ \\ T=2.5\text{ N} \end{gathered}[/tex]Therefore, the tension in the string is 2.5 N
ANSWER:
2.5 N
