By finding the parallel component of the gravitational force to the normal of the surface, we will see that the normal force is:
N = m*g*cos(θ)
How to find the normal force?
The normal force is the force that the ramp does against the box, such that the normal force is, as the name implies, normal to the surface. Below, you can see a diagram of the situation:
The normal force will be equal, in magnitude, to the component of the gravitational force parallel to the normal direction of the surface.
In the diagram, you can see the right triangle that we should use, from there we can see that the component of the gravitational force in the normal direction is:
F = -m*g*cos(θ)
Where the negative sign is because this force is downwards, g is the gravitational acceleration and m is the mass of the box.
Now, the normal force will be such that this component of the gravitational force vanishes, thus the normal force must be:
N = m*g*cos(θ)
If you want to learn more about normal forces, you can read:
https://brainly.com/question/10941832
