In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 45 m/s (around 100 mi/h) in a time of 6.8 s. The mass of the car and riders is 5100 kg. Find the average net force exerted on the car and riders by the magnets.

The average net force exerted on the car and riders by the magnets is 33751.8 newtons.

Explanation:

Let assume that car and its riders accelerate at constant rate, such that acceleration (), measured in meters per square second, can be found by using the following kinematic equation:

(Eq. 1)

Where:

, - Initial and final speeds of the car and its riders, measured in meters per second.

- Acceleration time, measured in seconds.

If we know that , and , the average acceleration of the car is:

By the Second Newton's Law, we find that average force exerted on the car and riders by the magnets (), measured in newtons, is:

(Eq. 2)

Where is the mass of the car-riders system, measured in kilograms.

If we know that and , the net force exerted on the car and riders is:

The average net force exerted on the car and riders by the magnets is 33751.8 newtons.

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