Answer:
To find the net force exerted on the race car, we'll use Newton's second law of motion:
\[F = ma\]
where:
- \(F\) is the force (in Newtons, N)
- \(m\) is the mass of the car (710 kg)
- \(a\) is the acceleration (which we can find using the kinematic equation)
First, let's find the acceleration of the car. We'll use the kinematic equation for uniformly accelerated motion:
\[s = ut + \frac{1}{2}at^2\]
Given:
- Initial velocity (\(u\)) is 0 m/s (as the car starts from rest)
- Displacement (\(s\)) is 40 m
- Time (\(t\)) is 3 seconds
Plug in the values:
\[40 m = 0 + \frac{1}{2}a(3 s)^2\]
Simplify:
\[40 m = \frac{9}{2}a\]
\[a = \frac{80}{9} \approx 8.89 m/s^2\]
Now, we can calculate the net force:
\[F = ma = 710 kg \times 8.89 m/s^2 \approx 6313.9 N\]
The net force exerted on the race car is approximately 6313.9 Newtons.
Step-by-step explanation: