Question

The frictional force F between the tires and the road required to keep a car on a curve section of highway is directly proportional to the square of the speed S of the car if the speed of the car is doubled the force will change by what factor?

Answer 1

If the speed of a car is doubled, the frictional force required to keep the car on a curved road is multiplied by a factor of 4, since the force is directly proportional to the square of the speed.

Step-by-step explanation:

The frictional force F required to keep a car on a curved section of highway is directly proportional to the square of the speed S of the car.

This can be mathematically expressed as F ∝ S².

Therefore, if the speed S of the car is doubled, the square of the speed is multiplied by a factor of 4 (since (2S)² = 4S²).

Hence, the frictional force required would be multiplied by the same factor of 4 to maintain the car on the curve.