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# Normal Force Calculator (Physics)

Last updated: Monday, May 01, 2023
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Force
Normal Force

Normal force is the force exerted by a surface perpendicular to an object in contact with it. It is a type of contact force that occurs whenever an object rests on a surface. The magnitude of the normal force is equal to the weight of the object being supported, and it acts in the direction perpendicular to the surface. In other words, the normal force prevents objects from passing through one another and keeps them in place.

For example, when a book is placed on a table, the weight of the book exerts a force downward, and the table exerts an equal and opposite force upward, known as the normal force. The normal force is what prevents the book from falling through the table.

The normal force can also be affected by other forces acting on an object, such as friction or gravity. For example, when an object is placed on an inclined surface, the normal force is no longer equal to the weight of the object, but is instead reduced due to the component of gravity acting along the surface.

The formula for determining the normal force is defined as:
$$F_n$$ $$=$$ $$N$$ $$=$$ $$m$$ $$\cdot$$ $$g$$ $$\cdot$$ $$\cos(\theta)$$
$$N$$: the normal force
$$m$$: the mass of the object
$$\theta$$: the angle of the slope measured in degree
$$g$$: the gravity
The SI unit of force is: $$Newton \text{ }(N)$$

## Find $$N$$

Use this calculator to determine the normal force of an object when the angle of the slope and its mass are given.
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the mass of the object
$$m$$
$$kilogram$$
the angle of the slope measured in degree
$$\theta$$
$$degree$$
the gravity
$$g$$
$$meter/square \text{ } second$$
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