Final answer:
The tension in the rope equals the weight of the moving box, for a 5.00-kg box moving steadily upwards, the tension is 49.0 N computed by T = mg.
Step-by-step explanation:
The student is asking about the tension in a rope used to lift a box moving upwards at a steady speed. Based on Newton's second law, when the box is moving upward at a constant speed, the net force acting on it (Fnet) is zero. Therefore, the tension in the rope must equal the weight of the box. For a box with a mass of 5.00 kg, we calculate the tension (T) as the product of the mass (m) and the acceleration due to gravity (g), which is 9.80 m/s².
Using the formula T = mg, we compute the tension as T = (5.00 kg)(9.80 m/s²) = 49.0 N. The tension is the force exerted by the rope, and in this scenario, it balances out the weight of the box, allowing it to move upwards steadily. If a device like a spring were inserted in place of the rope, it would measure a force of 49.0 N, showing the same tension the rope exerts when holding the box.