Final answer:
The tension in the rope when a box hangs at rest can be calculated using the formula T = mg, where T is the tension, m is the mass of the box, and g is the acceleration due to gravity (approximately 9.8 m/s²). For the given question, the mass of the box is 65.0 kg. Therefore, the tension in the rope is 637 N.
Step-by-step explanation:
The tension in the rope when a box hangs at rest can be calculated using the formula T = mg, where T is the tension, m is the mass of the box, and g is the acceleration due to gravity (approximately 9.8 m/s²).
For the given question, the mass of the box is 65.0 kg. Therefore, the tension in the rope is:
T = (65.0 kg)(9.8 m/s²) = 637 N