Magnitude and Direction of Force Quick Check

Question

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Question
Which of the following scenarios accurately describes magnitude and direction?(1 point)
Responses

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 5 kN.

A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 10 kN.
A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 10 kN.

A car traveling northward with 5 kN of force could be brought to a stop by a northward force of 5 kN.
A car traveling northward with 5 kN of force could be brought to a stop by a northward force of 5 kN.

A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 5 kg.
A car traveling northward with 5 kN of force could be brought to a stop by a southward force of 5 kg.
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Answer 1

To analyze the scenarios regarding magnitude and direction of force, we need to consider the forces acting on the car and how they interact.

1. 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. A southward force of 5 kN would exactly counteract the northward force of 5 kN, bringing the car to a stop.

2. 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 also accurate. A southward force of 10 kN would not only stop the car but also accelerate it southward after coming to a stop.

3. 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 not accurate. A northward force of 5 kN would not stop the car; it would maintain its northward motion because the forces would be additive (5 kN north + 5 kN north = 10 kN north).

4. 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. Force is measured in newtons (kN), not kilograms (kg). The statement does not correctly describe force in the context of bringing the car to a stop.

Based on the analysis, the accurate scenarios 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, the first option is the most straightforward and correct in describing the balance of forces.