In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 43.7 m/s in a time of 6.50 s. The mass of the car and riders is 3.24 × 103 kg. Find the average net force exerted on the car and riders by the magnets.
F = M*a.
a = (Vf-Vo)/t.
Vf = 43.7 m/s.
Vo = 0.
To find the average net force exerted on the car and riders by the magnets, you 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.
The given information in the question includes:
- Final velocity (vf) = 43.7 m/s
- Time (t) = 6.50 s
- Mass (m) = 3.24 × 10^3 kg
First, we can find the acceleration using the formula:
Acceleration (a) = (vf - vi) / t
Since the car starts from rest, the initial velocity (vi) is 0 m/s.
Plugging in the values:
a = (43.7 m/s - 0 m/s) / 6.50 s
Now, we can calculate the acceleration:
a = 43.7 m/s / 6.50 s
a ≈ 6.722 m/s² (rounded to three decimal places)
Next, we can use Newton's second law to find the average net force:
Net force (F) = m * a
Plugging in the values:
F = 3.24 × 10^3 kg * 6.722 m/s²
Now, we can calculate the average net force:
F = 2.18 × 10^4 N (rounded to three significant figures)
Therefore, the average net force exerted on the car and riders by the magnets is approximately 2.18 × 10^4 N.