The correct scenario that accurately describes magnitude and direction is:
A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 5 kN.
In this case, the southward force of 5 kN directly opposes the northward force of 5 kN, resulting in a net force of zero, which would bring the car to a stop.
To further clarify:
- 5 kN (northward) and 5 kN (southward) are equal in magnitude but opposite in direction, canceling each other out.
- The option regarding a southward force of 5 kg is incorrect because force is measured in newtons (kN), not kilograms (kg).
- A southward force of 10 kN would provide a net force of 5 kN (south), which would also stop the car, but the force must be equal to the initial force to simply bring it to a stop without causing acceleration away from its original direction.
Therefore, the most straightforward answer is indeed the first choice.