The 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.
This is because a force of 5 kN acting in the opposite direction (southward) would precisely counteract the northward force of 5 kN, bringing the car to a stop.
Here’s a brief explanation of why the other options are incorrect:
- Option 1: A southward force of 10 kN would not just stop the car; it would actually cause it to accelerate southward.
- Option 2: A northward force of 5 kN would not stop the car as it would be in the same direction as the existing force.
- Option 3: A southward force of 5 kg is not valid because force is measured in newtons (kN), not kilograms.
Hence, the correct choice is the fourth option.