Given data;
* The mass of the elevator is 5000 kg.
* The acceleration of the elevator is,

Solution:
The free body diagram of the elevator is,
The weight of the elevator is,

where m is the mass of the elevator and g is the acceleration due to gravity,
Substituting the known values,

The net force acting on the elevator is,

where a is the acceleration of the elevator moving upwards,
Substituting the known values,

From the free body diagram, the tension acting on the cable is,

Substituting the known values,

Thus, the tension acting in the cable is 64 kN.