an 1100 kg car accelerates from rest at 3.4 m/s2. if the horizontal force exetred 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 that must be resisting the motion of the car, we can start by using 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 data:
Mass of the car (m) = 1100 kg
Acceleration (a) = 3.4 m/s²
Force exerted on the wheels by the road (Fex) = 5600 N
Using the formula Fnet = m * a, we can find the net force acting on the car:
Fnet = m * a
Fnet = 1100 kg * 3.4 m/s²
Fnet = 3740 N
Since the force exerted on the wheels by the road is in the forward direction, the resisting force (Fres) should act in the opposite direction to balance it out.
Therefore, the force resisting the motion of the car is 3740 N in the opposite direction.
Regarding the free body diagram, it would show the various forces acting on the car. It would include the force exerted on the wheels by the road (5600 N) in the forward direction and the force resisting motion (3740 N) in the opposite direction. Additionally, there will be the weight of the car acting downward and the normal force exerted by the road perpendicular to it.