Answer:
In Physics, the net force on a car rounding a banked curve is the horizontal component of the normal force, which acts as the centripetal force, balanced vertically by the car's weight to maintain circular motion without vertical displacement.
Step-by-step explanation:
The subject of this question is the net force on a car rounding a banked curve in Physics, specifically relating to dynamics and motion. When a car drives on a banked, frictionless curve at constant speed, the net external force is the centripetal force needed to keep the car moving in a circle. This force is provided by the horizontal component of the normal force exerted by the road on the car.
Since the road is frictionless and the car does not leave the surface, the vertical force components must balance out, which means gravitational force (the car's weight, w) is balanced by the vertical component of the normal force (N cos θ). In the ideal scenario where the angle of banking is perfect, the horizontal component of the normal force (N sin θ) provides the centripetal force necessary to maintain the car's circular motion with magnitude mv2/r, where m is the mass of the car, v is its velocity, and r is the radius of the curve.
Furthermore, in a scenario of the car in motion on a flat surface, the net force and friction also play essential roles. At constant velocity, the net horizontal force on the car is balanced by the friction force. However, if the car is accelerating, the horizontal force must be greater than the friction force to achieve this change in velocity.