During a stage production of Peter Pan, the 53.5 kg actress playing Peter has to fly in vertically (descend). To be in time with the music, she must, starting from rest, be lowered a distance of 3.60 m in 2.12 s at a constant acceleration. Backstage, a smooth surface sloped at ? = 47.0° supports a counterweight of mass m, as shown in the figure below.
1) Calculate the mass of the counterweight that must be used.
2) Calculate the tension in the wire supporting the actor.