In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 36 m/s (around 80 mi/h) in a time of 5.5 s. The mass of the car and riders is 4900 kg. Find the average net force exerted on the car and riders by the magnets.
F= m*a = m*(v-u)/t
v is the velocity after time t(5.5s)
u is the initial velocity = 0
Plug in the values to find the av. net force F
To find the average net force exerted on the car and riders by the magnets, 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. In this case, the acceleration is the change in velocity divided by the time it takes to achieve that change.
First, we need to calculate the acceleration using the given information. The change in velocity is the final velocity minus the initial velocity. The initial velocity is 0 m/s since the car starts from rest. The final velocity is 36 m/s.
Change in velocity = Final velocity - Initial velocity
Change in velocity = 36 m/s - 0 m/s
Change in velocity = 36 m/s
Next, we need to calculate the acceleration by dividing the change in velocity by the time taken:
Acceleration = Change in velocity / Time
Acceleration = 36 m/s / 5.5 s
Acceleration ≈ 6.55 m/s²
Now that we have the acceleration, we can calculate the average net force. We know that the mass of the car and riders is 4900 kg.
Average net force = Mass x Acceleration
Average net force = 4900 kg x 6.55 m/s²
Average net force ≈ 32095 N
Therefore, the average net force exerted on the car and riders by the magnets is approximately 32095 Newtons.