Final answer:
The tension in the rope would have a larger magnitude than the applied force F when the net acceleration is downward but has a magnitude less than g.
Step-by-step explanation:
The tension in the rope must equal the weight of the supported mass. If the 5.00 kg mass is stationary, then its acceleration is zero, so the net force is zero. The only external forces acting on the mass are its weight and the tension supplied by the rope. Therefore, the magnitudes of the tension and weight must be equal, and the tension in the rope would have a larger magnitude than the applied force F.