Question

Explain a situation when the normal force is not equal to the force of gravity

Answer 1

Roller Coasters would be a situation when the normal force is not equal to the force of gravity.The only forces acting on the rider are the upward normal force n exerted by the car and the downward force of gravity w, the rider's weight.

Answer 2

What do you mean by "the normal force"?

The force perpendicular to a surface? If you press on an object, it exerts a force on the surface below that exceeds the weight of the object.

Answer 3

On an inclined plane, the Fn is only = to the y component of the Fg or vice versa.

Answer 4

In my opinion, this is a poorly worded question. My answer is: Any object sitting on a flat surface.
The question involves forces, which are vectors, which have direction as well as magnitude. So for my object, the normal force points straight up, the force of gravity points straight down. These two vectors, pointing in opposite directions, can never be equal (unless they're both zero vectors).
I'm sure the writer of the problem meant to say, "...magnitude of the normal force is not equal to the magnitude of the force of gravity."