To determine which scenario accurately describes magnitude and direction, we need to consider the forces acting on the car.
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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: This scenario is accurate because the opposing forces are equal in magnitude and in opposite directions, resulting in a net force of zero, which would bring 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 southward force of 10 kN: This scenario is accurate as well because a 10 kN force acting southward would not only stop the car but also provide additional force to accelerate it in the southward direction.
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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: This scenario is not accurate because force is measured in newtons (N), and 5 kg cannot be directly compared to kN (1 kN = 1000 N). Therefore, this does not have the correct units or magnitude.
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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: This scenario is incorrect because adding a northward force of 5 kN would increase the force acting northward, making it impossible to stop the car.
Based on the analysis, the two accurate scenarios regarding magnitude and direction are the first and second options:
- 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.
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