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Answer :
Final answer:
The tension in the rope when a 84 kg box is at rest is equal to the weight of the box, which is 823.2 N.
Explanation:
The tension in the rope when a 84 kg box is at rest is equal to the weight of the box. Using Newton's second law, we know that the net force on the box is zero. The only external forces acting on the box are its weight and the tension from the rope. Therefore, the tension in the rope is equal to the weight of the box, which is given by:
T = mg = (84 kg)(9.8 m/s²) = 823.2 N
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