After a day of testing race cars, you decide to take your own 1590 kg car onto the test track. While moving down the track at 10.0 m/s, you uniformly accelerate to 26.0 m/s in 10 s. What is the average net force that you have applied to the car during the 10 s interval?
To calculate the average net force, 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.
Given:
Mass of the car (m): 1590 kg
Initial velocity (u): 10.0 m/s
Final velocity (v): 26.0 m/s
Time interval (t): 10 s
First, we need to find the acceleration (a) using the equation:
a = (v - u) / t
Substituting the given values:
a = (26.0 m/s - 10.0 m/s) / 10 s
= 16.0 m/s / 10 s
= 1.6 m/s²
Now that we have the acceleration, we can calculate the average net force (F) using the equation:
F = m * a
Substituting the mass and acceleration:
F = 1590 kg * 1.6 m/s²
= 2544 N
Therefore, the average net force that you have applied to the car during the 10 s interval is 2544 N.