An automatic, square profile, single start power screw is used to raise a load of 50 kN rotating at 60 rpm. The pitch and diameter of the screw are 6 mm and 36 mm, respectively. The power screw mechanism uses a collar in the system with a mean diameter of 80 mm and the collar friction coefficient is 0.16. If the running friction in the screw thread is 0.20, then estimate: a) the thread depth b) the lead angle c) the torque required to raise the load d) the thread efficiency e) the power transmitted by the power screw when raising the load.