I was asked to think of a situation where a car driver only feels centripetal acceleration, but exerts no tangential acceleration.
The first thing that came to mind was orbit, where the satellite does not need to speed up but be caught by the gravity of Earth, and keeps orbiting around it.
So, my question is this.
I tried to consider a case where a car is driving towards a loop with no friction so that it will not need any tangential acceleration, but the centripetal acceleration is not constant due to gravity.
One of my friends told me that a banked road can do the same thing as orbit, but I did not understand his explanation at all. I cannot imagine a car moving in circles on a banked road without accelerating tangentially.
Can someone explain me this kinematics ?