Exams › NEET › Physics

A circular road of radius r is banked for a speed \( \mathbf{v}=40 \mathrm{km} / \mathrm{hr} . \) A car of mass \( \mathrm{m} \) attempts to go on the circular road. The friction coefficient between the tyre and the road is negligible.

1. The car cannot make a turn without skidding
2. if the car turns at a speed less than \( 40 \mathrm{km} / \mathrm{hr} \), it will slip down.
3. If the car turns at the correct speed of \( 40 \mathrm{km} / \mathrm{hr} \), the force by the road on the car is equal to \( m v^{2} / r \)
4. If the car turns at the correct speed of \( 40 \mathrm{km} / \mathrm{hr} \), the force by the road on the car is greater than mg as well as greater than \( m v^{2} / r \)

Correct answer: If the car turns at the correct speed of \( 40 \mathrm{km} / \mathrm{hr} \), the force by the road on the car is greater than mg as well as greater than \( m v^{2} / r \)

Solution

For a frictionless banked curve at the design speed, the road’s force is the normal reaction. Its vertical component balances weight, while its horizontal component provides centripetal force. Because the normal is tilted, its magnitude must exceed each component, so it is greater than both mg and mv^2/r.

Related NEET Physics questions

• \( g c m s^{-2} \) is also known as
• The coefficient of limiting friction between the surfaces of contact is the ratio of the \( \ldots \). friction to the normal reaction
• Point where whole weight of body acts vertically is called
• In a physical balance working on the principle of moments, when \( 5 \mathrm{mg} \) weight is placed on the left plan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?
• A box is placed on an inclined plane and has to be pushed down. The angle of inclination is :
• A rubber ball of mass \( 4 \mathrm{kg} \) has the same diameter as a plastic ball of mass 0.5 kg. Both the balls are dropped simultaneously from the roof of a building.When they are \( 8 \mathrm{m} \) above the ground,they have the same

⚔️ Practice NEET Physics free + battle 1v1 →