Physics on Banked Roads Quiz
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Questions and Answers

On a banked road, what primarily provides the centripetal force necessary for a car to move in a circular path?

  • The horizontal component of the normal force. (correct)
  • The frictional force acting parallel to the road.
  • The normal force's vertical component.
  • The car's weight acting vertically downwards.

Which equation represents the balance of vertical forces acting on a car on a banked road?

  • N sin θ + f cos θ = mv²/R
  • N sin θ + f sin θ = mv²/R
  • N cos θ = mg - f sin θ
  • N cos θ = mg + f sin θ (correct)

What forces contribute to the horizontal force in the equation: N sin θ + f cos θ = mv²/R?

  • The car's weight only.
  • Weight and normal force.
  • The horizontal components of normal and frictional forces. (correct)
  • Only the frictional force.

In the case of a level road, what is the main difference in the force equation compared to a banked road?

<p>The angle of banking is considered zero degrees. (D)</p> Signup and view all the answers

Given that 'm' represents mass, 'v' represents velocity, and 'R' represents the radius of the circular path, what does 'mv²/R' represent in the equations?

<p>The centripetal force. (C)</p> Signup and view all the answers

Flashcards

Normal Force (N)

The force that acts perpendicular to the surface of contact between two objects. In this case, it's the force exerted by the banked road on the car.

Frictional Force (f)

The force that resists the motion of the car along the banked road. It acts parallel to the surface and opposes the car's movement.

Centripetal Force

The force that keeps the car moving in a circular path on the banked road. It's directed towards the center of the circle the car is traveling in.

Angle of Banking (θ)

The angle of the banked road with respect to the horizontal.

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Vertical Force Equation (N cos θ = mg + f sin θ)

The equation that relates the forces acting on the car in the vertical direction, accounting for the normal force (N), weight (mg), and frictional force (f).

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