The formula we can use in this case would be:
v = sqrt (T / (m / l))
Where,
v = is the velocity of the transverse wave = unknown (?)
T = is the tension on the rope = 500 N
m = is the mass of the rope = 60.0 g = 0.06 kg
l = is the length of the rope = 2.00 m
Substituting the given values into the equation to search for the speed v:
v = sqrt (500 N/(0.06 kg /2 m))
v = sqrt (500 * 2 / 0.06)
v = sqrt (16,666.67)
v = 129.10 m/s