Answer:
41.64 N
Explanation:
Applying,
v = √(T/m')................ Equation 1
Where v = velocity of the wave, T = Tension of the rope, m' = mass per unit length of the rope.
make T the subject of the equation,
T = v²m'................. Equation 2
But,
v = λf............... Equation 3
Where λ = wavelength, f = frequency
And
m' = m/L........... Equation 4
Where m = mass of the rope, L = length of the rope
Substitute equation 3 and equation 4 into equation 2
T = (λf)²(m/L).............. Equation 5
From the question,
Given: λ = 0.740 m, f = 42 Hz, m = 0.125 kg, L = 2.9 m
Substitute these values into equation 5
T = (42×0.74)²(0.125/2.9)
T = 41.64 N
