To analyze the scenarios provided, we need to consider both magnitude (the amount of force) and direction (the direction in which the force is applied).
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A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 5 kg.
- Incorrect: A force of 5 kg is not a valid comparison to 5 kN since these units are not the same (force should be measured in kN).
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A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 5 kN.
- Correct: A southward force of 5 kN will exactly counteract the northward force of 5 kN, bringing the car to a stop.
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A car traveling northward with 5 kN of force could be brought to a stop by a northward force of 5 kN.
- Incorrect: A northward force of 5 kN will not stop the car; it will maintain its current velocity as it is adding to the original force.
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A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 10 kN.
- Correct: A southward force of 10 kN will not only counteract the northward force of 5 kN but also provide a net force in the southward direction, bringing the car to a stop.
Given this analysis, the two correct answers are:
- A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 5 kN.
- A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 10 kN.
If you need to select only one scenario, then the second statement (southward force of 5 kN) is a direct match to the condition of bringing the car to a stop.