After a day of testing race cars, you decide to take your own 1502.5 kg car onto the test track. While moving down the track at 11.4 m/s, you suddenly accelerate to 30.2 m/s in 19.2 s.
What average net force have you applied to the car during that time?
force=mass*acceleration*mass(Vf-Vi)/time
To find the average net force applied to the car, 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, we are given the initial velocity (11.4 m/s), the final velocity (30.2 m/s), and the time it takes to accelerate (19.2 s). To calculate the acceleration, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Plugging in the given values, we get:
acceleration = (30.2 m/s - 11.4 m/s) / 19.2 s
Simplifying this calculation, we have:
acceleration = 18.8 m/s / 19.2 s
Now, with the acceleration known, we can use the formula for net force:
net force = mass * acceleration
Given that the mass of the car is 1502.5 kg, we can calculate the average net force by multiplying the mass by the acceleration:
net force = 1502.5 kg * (18.8 m/s / 19.2 s)
Simplifying this further, we have:
net force = 1502.5 kg * 0.9792 m/s²
Now we can complete the calculation:
net force = 1468.37 N
Therefore, the average net force applied to the car during that time is approximately 1468.37 Newtons.