a 2kg pendulum swings at the bottom of a 1m rope. hen the pendulum is at the bottom of the swing, it is traveling at 2 m/s. determine the tension of the rope

The tension T minus the weight equals the centripetal force, M V^2/R. Therefore

T = M (g + V^2/R) = 27.6 Newtons

R is the rope length and V is the 2 m/s velocity at the bottom of the swing.