In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 46.6 m/s in a time of 6.82 s. The mass of the car and riders is 6.72 × 103 kg. Find the average net force exerted on the car and riders by the magnets.
V = Vo + a*t.
V = 46.6 m/s, Vo = 0, t = 6.82 s, a = ?.
F = M*a.
To find the average net force exerted on the car and riders, we need to use Newton's second law, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's find the acceleration of the car and riders. We can use the formula:
acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (v₀) = 0 m/s (since it starts from rest)
Final velocity (v) = 46.6 m/s
Time (t) = 6.82 s
Using the formula, we can calculate the acceleration:
acceleration = (46.6 m/s - 0 m/s) / 6.82 s
acceleration = 6.82 m/s²
Next, let's calculate the net force:
force = mass x acceleration
Given:
mass (m) = 6.72 × 103 kg
acceleration (a) = 6.82 m/s²
Substituting these values into the formula, we get:
force = (6.72 × 103 kg) x (6.82 m/s²)
force = 45,734.4 N
Therefore, the average net force exerted on the car and riders by the magnets is 45,734.4 Newtons.