Final answer:
The tension in the string is equal to the weight of the supported mass and the net force or tension in the string is 0 N.
Step-by-step explanation:
Tension in the rope must equal the weight of the supported mass, as we can prove using Newton's second law.
If the 5.00 kg mass is stationary, then its acceleration is zero, and thus the net force, Fnet, is equal to 0.
The only external forces acting on the mass are its weight, w, and the tension, T, supplied by the rope. Therefore, the net force can be expressed as:
Fnet = T - w = 0