Determine the velocity that a car should have while traveling around a frictionless curve of radius 100m and that is banked 20 degrees.

Explanation:

From the free-body diagram for the car, we have that the normal force has a vertical component and a horizontal component, and this component act as the centripetal force on the car:

Solving N from (2) and replacing in (1):

The centripetal acceleration is given by:

Replacing and solving for v:

the closer the planet is to the sun, the larger the gravity