67. An electric elevator with a motor at the top has a multi-strand cable weighing 4.5kg/m. When the
car is at the first floor (the bottom of the elevator shaft) 110 meters of cable is above the car,
and effectively 0 m of cable is above the car is at the top floor. The car itself weighs 1000 kg.
a. How much work is done to lift just the cable from the first floor to the top floor.
b. How much work is done just lifting the cable and the car from the first floor to the top
floor?
c. How much work is done lifting the cable and the car halfway up the elevator shaft?