# Newton’s Laws of Motion

When a book is kept on the table, is anything happening there? ‘It’s just stationary’ you’d answer. And you’re right! But even in this stationary mode, the book is exerting a type of gravitational force towards the earth. Confused? Well, this is one of the applications of Newton’s first law of motion. But what are laws of motion? Let us study in-depth below.

## What is Force?

‘Force’ is a vector quantity thatÂ can be described as aÂ push or pull on an object resulting from the object’s interaction with another object. Whenever there is an interaction between two objects, the objects experienceÂ an equal and opposing force on each other. In other words both the objects ‘exert force’ on each other. Force only exists as a result of an interaction. If there is no interaction, the objects no longer experience the force.

Force is measured in units called Newtons (N), named after the famous scientist Sir Issac Newton. This force further divides into:

a. Balanced Forces

b. Unbalanced Forces

### Balanced Forces

When an object is not moving with changing speed i.e. it’s in equilibrium, the net force acting on it is ‘balanced’. For example, the weight of the apple is balanced by the force exerted by the branch on the apple, when an apple hangs from a tree.

### Unbalanced Forces

When an object is not in equilibrium i.e. moving with changing speed, the net force on it is ‘unbalanced’. For example, when an apple falls from the tree an unbalanced force equal to its weight is acting on the apple.

What are the different types of Forces?

## What is Inertia?

The tendency of a body in motion continues to remain in motion, moving with uniform velocity and a body at rest continues to remain at rest unless acted upon by a force. This tendency of the body is known as ‘inertia’ (i.e. resistance to change). InÂ Newton’s First Law of Motion, this concept is quantified. The word inertia comes from the Latin word ‘iners’, that means idle or lazy.

Inertia is a quality, all the objects/bodies in nature made of matter that possess. Mass is a measure of inertia. Objects with higher mass resist changes in motion more than objects with lower mass.

What is Newton’s Universal Law of Gravitation?

## Laws of Motion

Sir Isaac Newton worked in many areas of mathematics and physics. He developed various theories ofÂ gravitation when he was only 23 years old. In around 1698, some twenty years later he presented the three laws of motion.Â  Newtonâ€™s laws of motion giveÂ us the relations between the forces acting on a body and theÂ motionÂ of the body.

These laws are as follows:

Newton’sÂ First Law of MotionÂ also known as Law of InertiaÂ states that every object persists to stay in uniform motion in a straight line or in the state of rest unless an external force acts upon it.

Newton’s Second Law of MotionÂ states that force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration, i.e. F = m*a. Learn about the Acceleration in detail here.

Newton’s Third Law of MotionÂ states that for every action there is an equal and opposite reaction.

## Derivation of Newton’s Second Law of Motion

According to Newton’s second law:Â $$\vec{F} = d \vec{P}/dt$$,

where $$\vec{P}Â$$ = momentum andÂ  $$\vec{P} = m \vec{v}$$

If the time interval for the applied force is increased,Â then the value of the applied force will decrease. In cricket players use this while catching the ball. They pull their hands back so that time of contact with ball increases and they would experience less jerk due to the motion of the ball.

From Newton’s second law of motion,

$$\vec{F} \propto d \vec{P}/dt$$

$$\vec{F} = k \times d \vec{P}/dt = km \vec{a}$$

For simplicity, the constant of proportionality (k) is chosen to be 1, therefore

$\stackrel{}{\mathrm{\\left( \vec\left\{F\right\} = m \vec\left\{a\right\} \\right)}}$

How to Calculate Average Velocity and Average Speed?

## Applications of Laws of Motion

### Newton’s First Law of Motion

A car travelling on a highway at a fixed speed tends to maintain uniformity in its motion and everything else inside the car. When a force from outside is applied to the car in motion, like a sudden change in direction, the car will respond to this sudden change on its own, although the passengers in the car or the objects inside it are still responding to inertia, wherein their motion will still be in a straight line. When in fact the direction has already changed causing the passengers or the objects to be thrown off. This event is explained by the first law of motion.

### Newton’s Second Law of Motion

The application of the second law of motion can be seen in determining the amount of force needed to make an object move or to make it stop. For example, stopping a moving ball or pushing a ball.

### Newton’s Third Law of Motion

The application third law of motion can be seen via an illustration wherein letâ€™s say a glass is on a table, even though the glass is at rest it is actually exerting a force on the table and the table, on the other hand, is exerting equal opposite force thus making the glass stay.

How to Calculate Uniform Circular Motion?

## Solved Example for You

Q: Which of the following is/are true about force:

A. Force will always change the magnitude of velocity

B. Force will always change the direction of the velocity

C. S.I unit of force is Newton

D. All of the above

Sol.: Force does not always change the magnitude of the velocity. Example: Centripetal force, It changes the only direction of motion but not the magnitude of the velocity. Force does not always change the direction of motion. Example: Linear motion, the friction only reduces the velocity of the body but does not change the direction. SI unit of force is Newton.

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### 5 responses to “Momentum and Its Conservation”

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