What is the Maximum Speed of a Car at the Top of a Hill?

The video tutorial explores the physics problem of determining the maximum linear speed a car can achieve over a semicircular hill without its tires lifting off the ground. The problem is approached by analyzing the forces acting on the car using a free body diagram, focusing on the normal force and gravitational force. The tutorial derives the equation for maximum speed by setting the normal force to zero, ensuring the car maintains contact with the ground. The final calculation shows that the maximum speed is 4.2 meters per second, independent of the car's mass, depending only on gravitational acceleration and the hill's radius.

What is the radius of the semicircular hill mentioned in the problem?

• 2.5 meters

• 1.5 meters

• 1.8 meters

• 2.0 meters

Which force acts upwards on the car as it moves over the hill?

• Gravitational force

• Normal force

• Frictional force

• Centripetal force

What happens to the normal force as the speed of the car increases?

• It increases

• It remains constant

• It decreases

• It becomes zero

What is the condition for the car to maintain contact with the ground at maximum speed?

• Centripetal force is maximum

• Gravitational force is zero

• Normal force is zero

• Normal force is maximum

What is the maximum speed the car can achieve without losing contact with the ground?

• 4.0 meters per second

• 3.5 meters per second

• 4.5 meters per second

• 4.2 meters per second