Accepted Answer
At the times when the person is not moving up or down, the tension in the rope is 500N. At those moments, the forces on the person consist of 500N downward due to gravity and 500N upward due to the tension in the rope, and with the forces balanced, the person just hangs there anddoesn't accelerate up or down.At the times when the person is actually climbing, that is, hauling himself upward, the tension in the rope must be greater than 500N. At those moments, the net force on the person is upward, and the person's body accelerates upward.
Suggested Answer
the tension of a person weighing 500 pounds on a rope will make the rope break little by little,untill it gets to the point the rope snaps.