Physics

To determine the maximum speed a car can take a turn of a different radius while maintaining the same conditions, we can use the relationship between centripetal force and speed:

 

The centripetal acceleration required to keep the car moving in a circular path is given by:

 

For a given frictional force, this centripetal acceleration must not exceed the maximum frictional force available. Assuming the frictional force is constant, we can set up the relationship for two different radii.

 

1. For the radius :

 

2. For the radius :

Click "Show Answer" to reveal the answer and analysis