In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 42 m/s (around 90 mi/h) in a time of 7.3 s. The mass of the car and riders is 5700 kg. Find the average net force exerted on the car and riders by the magnets.
a = (V-Vo)/t = (42-0)/7.3 = 5.75 m/s^2.
F = m*a = 5700 * 5.75 = 32,795 N.
To find the average net force exerted on the car and riders by the magnets, we can apply Newton's second law of motion, which states:
Force = mass x acceleration
First, we need to find the acceleration of the car and riders. We are given the initial velocity (0 m/s) and the final velocity (42 m/s) as well as the time it takes to reach that final velocity (7.3 s). We can use the equation:
acceleration = (final velocity - initial velocity) / time
Let's calculate the acceleration:
acceleration = (42 m/s - 0 m/s) / 7.3 s
acceleration = 5.7534 m/s²
Now that we have the acceleration, we can calculate the average net force:
Force = mass x acceleration
Force = 5700 kg x 5.7534 m/s²
Force ≈ 32678.18 N
Therefore, the average net force exerted on the car and riders by the magnets is approximately 32678.18 Newtons.