Final answer:
The tension force in the cable for an elevator with a mass of 500 kg and accelerating upwards at 1.5 m/s^2 is 750 N.
Step-by-step explanation:
In order to calculate the tension force in the cable for an elevator, we can use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. In this case, the mass of the elevator is 500 kg and the acceleration is 1.5 m/s^2. Therefore, the tension force in the cable can be calculated as:
Tension force = mass * acceleration
Tension force = 500 kg * 1.5 m/s^2
Tension force = 750 N
Therefore, the correct answer is b) 750 N.