an 1100 kg car accelerates from rest at 3.4 m/s2. if the horizontal force exerted on the wheels by the road is 5600 N, what force must be resisting the motion of the car? use a free body diagram to illustrate your answer.
To determine the force resisting the motion of the car, we need to consider the net force acting on the car first.
The net force on an object is given by Newton's second law of motion:
Net force = Mass × Acceleration
Given:
Mass of the car (m) = 1100 kg
Acceleration (a) = 3.4 m/s²
Substituting the given values into the equation, we can calculate the net force:
Net force = 1100 kg × 3.4 m/s²
Net force = 3740 N
Now, since the horizontal force exerted by the road on the wheels is 5600 N, we can conclude that this force is responsible for accelerating the car, and the remaining force will be the force resisting the motion of the car.
Therefore, the force resisting the motion of the car is:
Force resisting = Force applied - Force accelerating
Force resisting = 5600 N - 3740 N
Force resisting = 1860 N
Now, let's explain the free body diagram showing the forces acting on the car:
1. Applied Force (Force exerted by the road on the wheels due to engine power): 5600 N (to the right)
2. Force of friction (Force resisting motion): 1860 N (to the left)
The arrows in the diagram indicate the direction of the forces, and their lengths correspond to the magnitude of the forces.