Final answer:
The work done on the elevator by its cable is 61325 Joules.
Step-by-step explanation:
To calculate the work done on the elevator by its cable, we need to find the net force acting on the elevator and multiply it by the distance the elevator is lifted. The net force is the difference between the force applied by the cable and the frictional force. The force applied by the cable can be found using Newton's second law:
F = ma
where F is the force applied by the cable, m is the mass of the elevator, and a is the acceleration. Since the elevator moves at a constant speed, the acceleration is zero. Therefore, the force applied by the cable is equal to the frictional force:
F = Frictional Force = 1575 N
Now, we can calculate the work done:
Work = Force x Distance
= Frictional Force x Distance
= 1575 N x 39 m = 61325 Joules