In a stage production of Peter Pan, the 51.0 kg actor playing Peter has to fly in vertically, and to be in time with the music, he must be lowered a distance of 3.00 m in 2.70 s. Backstage, a smooth (frictionless) surface sloped at an angle of 59.0 ° with respect to the horizontal supports a counterweight of mass m. Calculate the mass of the counterweight. Assume that Peter starts from rest.
Calculate the tension in the line supporting the actor.