In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 36.6 m/s in a time of 8.22 s. The mass of the car and riders is 3.94 × 103 kg. Find the average net force exerted on the car and riders by the magnets.
a = (36.6 m/s)/(8.22 s) = 4.45 m/s^2
F = ma
F=ma
F=4.45*3.94*10^3
To find the average net force exerted on the car and riders, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the acceleration of the car and riders. We are given the initial velocity (rest) and the final velocity (36.6 m/s), as well as the time it takes to reach that velocity.
Using the equation:
acceleration = (final velocity - initial velocity) / time
We can plug in the values:
acceleration = (36.6 m/s - 0 m/s) / 8.22 s
Simplifying:
acceleration = 4.452 m/s^2
Now, we can use Newton's second law, which states that the net force exerted on an object is equal to its mass multiplied by its acceleration.
net force = mass x acceleration
Plugging in the values:
net force = 3.94 × 10^3 kg x 4.452 m/s^2
Calculating the net force:
net force = 17531.88 N
Therefore, the average net force exerted on the car and riders by the magnets is approximately 17531.88 Newtons.