**Definition of Normal Force along with Formulas and Examples of Problems – **An object will experience free fall when it is released from the ground with a certain height. The falling object will experience the earth’s gravity. Then if an object is in a state of silence then the object will still have the force of gravity. This state is related to the normal style. What is normal style? Normal force is one type of force in physics. This type of force has the meaning of normal force and the formula for normal force is similar to other types of force. The normal force formula is used to calculate the magnitude of the force in the reference to the existing normal force.

We can see the reference normal force in an object at rest. For example, a book is placed on a manual scale. The book remains silent on the scales, but the scale needle is moving. This shows that the book (an object at rest) still has a gravitational force. But if the book has a gravitational force, why doesn’t it fall (move)? What force holds the book up? The force that keeps the book from falling is called the normal force. Well on this occasion I will explain about the definition of normal force, normal force formula and references about normal force. For more details, you can see below.

**Also read: Law of Conservation of Momentum and Example Problems**

## Definition of Normal Force with Formulas and Examples of Problems

Before discussing the meaning of the normal force, the formula for the normal force and references to the normal force, maybe you can pay attention to the illustration I gave above. Thus it can be concluded that the normal force is related to the gravitational force even though the object is at rest.

### Definition of Normal Style

The definition of normal force is the force that acts on a plane that is in contact with an object that has a direction perpendicular to the plane. The normal force is often referred to as the Touch Force. The normal force is applied when the object is perpendicular to the surface of the plane when making a touch.

As I said above that the normal force is related to the gravitational force. This is because the normal force is used as a counterweight to the gravitational force. As is the case with books placed on manual scales. The book remains silent even though there is style in it. This is in accordance with the two newton’s rule which states that if an object has a net force of zero, then the object is at rest. But we need to know that every object has a gravitational force. That way if the object has a zero resultant, then there are other forces acting on the object (besides the gravitational force). This other force is called the normal force (touch force).

### Normal Force Formula

The formula for the normal force is related to Newton’s second rule of motion. If an object is at rest, then the magnitude of its acceleration is zero (a = 0). However, if an object experiences motion, it will carry out Uniformly Changing Straight Motion (GLBB) with a constant acceleration (a = constant). The normal force on an object can be viewed horizontally and vertically. Thus, the normal force equation is also different.

**Horizontal Plane Normal Force Formula**

An object that lies in a horizontal plane will experience normal force and gravity. In the Y axis (vertical direction) the two forces will act in opposite directions. But in the X axis (horizontal direction) the two forces will not act. Here’s the normal force formula:

*X axis*

*FX = 0*

*Y axis*

*FY = ma*

*N – w = ma (the object does not move in the vertical direction, a = 0)*

*N – w = 0*

*N = w*

Therefore, a stationary object placed in a horizontal plane will have the normal force formula, namely

N = w

**Slope Normal Force Formula**

An object that is placed on an inclined plane will experience gravity and a normal force, where this object will form the smallest angle that is equal to the angle of the inclined plane. If the plane of inclination is likened to the X axis, then the normal line of force is likened to the Y axis. Then the angle of inclination has the symbol . Thus there is a formula for the normal force, namely:

*X axis** FX = ma**w sin = ma*

*Y axis*

* FY = ma**N – w cos = ma (the object does not move in the vertical direction, a = 0)**N – w cos = 0** N = w cos*

Therefore, an object that lies on an inclined plane will have the formula for the normal force, namely

N = w cos

**Vertical Plane Normal Force Formula**

The following formula for the normal force contained in the vertical plane:

*Y axis*

*On the Y axis, the only force acting on it is gravity, therefore it has no resultant force*

*w = mg*

*X axis*

*FX = ma*

*F – N = ma (object does not move in the vertical direction, a = 0)*

*F – N = 0*

*N = F*

Therefore, an object that is pressed in a vertical plane will have the normal force formula, namely

N = F

### Examples of Normal Force Problems

A book is placed on a table with a mass of 2 kg. If the magnitude of the gravitational force is 10 m/s², what is the magnitude of the normal force on the book?

Discussion.

Given: m = 2 kg; g = 10 m/s²

Asked: N = ?

Answer:

N = w

N = mxg

= 2 x 10

= 20 newtons

So the book has a normal force of 20 newtons.

**Also read: Sounds and Hooke’s Rule Formulas with Example Problems**

Thus the clarification regarding the definition of normal force, normal force formula and reference about normal force. Hopefully this article can be useful. Thank you.