NCEA LEVEL 3 Physics Banked Corner

If the radius of a banked curve is doubled while keeping the bank angle constant, what happens to the maximum speed?

• It increases by a factor of √2.
• It doubles.
• It remains the same.
• It increases by a factor of 2.

What is the role of the bank angle in determining a vehicle's speed on a banked curve?

• It has no effect on the vehicle's speed.
• It allows the vehicle to navigate the turn without relying solely on friction.
• It decreases the gravitational force acting on the vehicle.
• It increases the frictional force between the tires and the road.

Which of the following factors does NOT influence the maximum speed of a vehicle on a banked curve?

• The frictional force
• The weight of the vehicle
• The bank angle
• The radius of the curve

Which of the following statements about the forces acting on a vehicle in a banked turn is true?

• Gravitational force must be balanced by the vertical component of the normal force.
• Friction is the only force acting on the vehicle.
• Centripetal force is not required for circular motion.
• The normal force acts vertically downward.

In a banked turn, which force provides the necessary centripetal force for the vehicle's circular motion?

• Centripetal force is not needed
• Normal force
• Gravitational force
• Frictional force

For a banked curve with a radius of 25 meters and a bank angle of 60 degrees, what is the maximum speed of the vehicle?

• v = 20.00 m/s
• v = 15.00 m/s
• v = 25.00 m/s
• v = 10.00 m/s

What is the maximum speed of a vehicle navigating a banked curve with a radius of 30 meters and a bank angle of 45 degrees?

• v = 18.00 m/s
• v = 15.00 m/s
• v = 12.25 m/s
• v = 10.00 m/s

What is the formula for calculating the maximum speed of a vehicle on a banked curve?

• v = sqrt(rg tan(θ))
• v = rg sin(θ)
• v = mg cos(θ)
• v = r tan(θ)

What is the approximate tangent of a 45-degree bank angle?

• 0.707
• 1.000
• 1.414
• 0.577

If a vehicle is on a banked curve with a radius of 40 meters and a bank angle of 30 degrees, what is the approximate maximum speed?

• v = 14.00 m/s
• v = 16.83 m/s
• v = 22.50 m/s
• v = 20.00 m/s