Consider a vertical elevator whose cabin has a total mass of 800 kg when fully loaded and 150 kg when empty. The

weight of the elevator cabin is partially balanced by a 400-kg counterweight that is connected to the top of the cabin by cables

that pass through a pulley located on top of the elevator well. Neglecting the weight of the cables and assuming the guide rails

and the pulleys to be frictionless, determine (a) the power required while the fully loaded cabin is rising at a constant speed of

1.2 m/s and (b) the power required while the empty cabin is descending at a constant speed of 1.2 m/s. What would your answer

be to (a) if no counterweight were used? What would your answer be to (b) if a friction force of 800 N has developed between

the cabin and the guide rails?