To analyze the scenarios based on magnitude and direction, we can assess the forces applied to the car.
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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 is incorrect. A northward force of 5 kN would not stop the car, as it would simply maintain the same velocity.
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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 is correct. A southward force of 5 kN applied against the northward force of 5 kN would result in a net force of 0 kN and thus 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 5 kg.
- This is incorrect. Force is measured in kN, and a force of 5 kg is not a force; it needs to be converted to newtons (1 kg = 9.81 N), so this would not be sufficient to stop 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 10 kN.
- This is correct. A southward force of 10 kN would exceed the northward force of 5 kN, resulting in a net force that would effectively stop and even reverse the direction of the car.
In conclusion, the accurate descriptions of magnitude and direction are:
- The second scenario (southward force of 5 kN) and the fourth scenario (southward force of 10 kN) accurately describe how to bring the car to a stop.