Rank the automobiles based on the magnitude of the force needed to stop them, from largest to smallest.

2000 kg car going 5m/s
500 kg car going 20 m/s
1000 kg car going20m/s
500 kg car going10m/s
1000 kg car going10/s
4000 kg car going 5m/s

Inconclusive. You need to know time over which it is brought to rest. then you can find F (average).

To rank the automobiles based on the magnitude of the force needed to stop them, we need to consider the momentum of each car. The momentum can be calculated by multiplying the mass and velocity of each car. The higher the momentum, the greater the force required to stop the car.

1. 4000 kg car going 5 m/s: Momentum = mass (4000 kg) * velocity (5 m/s) = 20,000 kg m/s
2. 2000 kg car going 5 m/s: Momentum = mass (2000 kg) * velocity (5 m/s) = 10,000 kg m/s
3. 1000 kg car going 20 m/s: Momentum = mass (1000 kg) * velocity (20 m/s) = 20,000 kg m/s
4. 1000 kg car going 10 m/s: Momentum = mass (1000 kg) * velocity (10 m/s) = 10,000 kg m/s
5. 500 kg car going 20 m/s: Momentum = mass (500 kg) * velocity (20 m/s) = 10,000 kg m/s
6. 500 kg car going 10 m/s: Momentum = mass (500 kg) * velocity (10 m/s) = 5,000 kg m/s

Based on the momentum values, the automobiles ranked from largest to smallest force needed to stop them are:

1. 4000 kg car going 5 m/s
2. 1000 kg car going 20 m/s
3. 2000 kg car going 5 m/s
4. 1000 kg car going 10 m/s
5. 500 kg car going 20 m/s
6. 500 kg car going 10 m/s

To rank the automobiles based on the magnitude of the force needed to stop them, we can use the concept of momentum. Momentum is a product of an object's mass and velocity, and the change in momentum (deceleration) is related to the force required to stop the object.

To calculate the momentum (p) of an object, the formula is:

p = m * v

where:
p = momentum
m = mass
v = velocity

Momentum is a vector quantity, meaning it has both magnitude and direction. However, for the purpose of this ranking, we will only consider the magnitudes of the momentum.

Let's calculate the momentum for each car and rank them from largest to smallest:

1. 4000 kg car going 5 m/s:
Momentum = 4000 kg * 5 m/s = 20,000 kg*m/s

2. 2000 kg car going 5 m/s:
Momentum = 2000 kg * 5 m/s = 10,000 kg*m/s

3. 1000 kg car going 20 m/s:
Momentum = 1000 kg * 20 m/s = 20,000 kg*m/s

4. 1000 kg car going 10 m/s:
Momentum = 1000 kg * 10 m/s = 10,000 kg*m/s

5. 500 kg car going 20 m/s:
Momentum = 500 kg * 20 m/s = 10,000 kg*m/s

6. 500 kg car going 10 m/s:
Momentum = 500 kg * 10 m/s = 5,000 kg*m/s

Based on these calculations, the ranking from largest to smallest force required to stop them is as follows:

1. 4000 kg car going 5 m/s
2. 1000 kg car going 20 m/s
3. 1000 kg car going 10 m/s
4. 2000 kg car going 5 m/s
5. 500 kg car going 20 m/s
6. 500 kg car going 10 m/s

figure mv for each car.