yes
Roc 'N Rope was created in 1983.
Roc 'N Rope happened in 2600.
The breaking strength of the rope has to be stated in terms of the "tension" in the rope, and that has to be the 800N quoted here. If the ends of the rope are pulled in oppposite directions with a force of 500N on each end, then the tension in the rope at any point is 1000N, and yes, it will break.
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The tension in the rope will be 100 N, as both forces are pulling on the rope with equal magnitude but in opposite directions. This results in no net force being applied to the rope, maintaining the tension at 100 N.
The tension in the rope would be equal to the weight of the bag of apples, which is 20 N. This is because the rope must exert an upward force equal to the weight of the bag to keep it at rest.
Assuming you meant two forces, the tension will be 200N.
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Then neither of them would win
The only way the bag of apples can have zero acceleration is that the sum of forces on it is zero. The 20-N downward gravitational force on it must be exactly canceled by some upward force of 20-N. That's the tension in the rope.
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