Question Detail

PHY 101 Circular Motion Objective Question

Question

When a car is moving at the optimal speed on a banked curve (with no friction needed), what force(s) contribute to the centripetal force?
Options
A Friction only
B The weight of the car only
C The vertical component of the normal force
D The horizontal component of the normal force
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

From the force diagram, when friction is zero, the horizontal component of the normal force (N sin θ) provides the centripetal force, while the vertical component (N cos θ) balances the weight.

Hint

The normal force is perpendicular to the road surface. On a banked road, this force is angled, so it has a horizontal component pointing toward the center of the curve.

Question Info