Final answer:
To find the average force of traction for the car, you can use the work-energy principle to determine the work done, which equals the change in kinetic energy. The work done is equal to the force multiplied by the distance, and from this, the average force can be calculated. The average force of traction in this case is 2723.17 N.
Step-by-step explanation:
To calculate the average force of traction for a 1250 kg car that accelerates from rest to 6.13 m/s over a distance of 8.58 m, we can use the work-energy principle. This principle states that the work done by a force on an object is equal to the change in kinetic energy of the object.
First, let's find the final kinetic energy (KE) of the car:
KE = 0.5 * m * v^2
KE = 0.5 * 1250 kg * (6.13 m/s)^2
KE = 23369.8125 J (joules)
The work done (W) by the traction force is also the change in kinetic energy, so W = KE = 23369.8125 J. Since work is defined as the force multiplied by the distance (W = F * d), we can rearrange the formula to solve for the average force (F):
F = W / d
F = 23369.8125 J / 8.58 m
F = 2723.17 N (newtons)
Therefore, the average force of traction that the car experienced was 2723.17 N.