# Newton’s Laws of Motion, Momentum Force General Knowledge

* Newton’s Laws of Motion, Momentum Force* related GK for you competitive examinations such as UPSC, IAS, Civil Service, Staff Selection Commission or SSC, CGL, MTS, Banking SBI PO, Railway, etc. Dear aspirants, read this topic carefully. This is an important part of physics from which some questions may be listed on your question paper.

Contents

Newton’s Laws of Motion

Newton’s First law of motion

Definition of Force

Inertia

Momentum

Newton’s Second Law of Motion

Newton’s Third Law of Motion

Moment of Force

To describe the characteristics of motion we need to set up some laws, which enable us to understand or explain the motion of a particle. There are three fundamental laws provided by English physicist *Sir Isaac Newton*. He is the father of physics. He first established his three laws of motion in his book ‘* Principia*‘. According to his name, three laws are named

*Newton’s First Law, Newton’s Second Law, and Newton’s Third Law*.

In this chapter, we will first state the laws of motions than we well elaborate briefly. We will also see how force is defined from the first law as well as how it is measured from his second law.

## Newton’s Laws of Motion:

### Newtons First Law:

Every object continues in its state of rest or of uniform motion in a straight line if no net force acts upon it. This is also known as law of inertia.

**Explanation**: Let us consider a particle moves in a straight line. According to the first law, the speed and direction will remain the same unless the object faces an external force. Here external force means the force applied on the object from outside. But wait, when we through a ball with an initial speed, its speed continues to decrease until it comes to rest. Here we do not apply any external force, then why it stops after traveling some distance? Well, though we do not exert any force from outside, a frictional force by air or ground comes to act on the ball. This friction is the cause to stop the ball from moving with constant speed in a straight line. This friction opposes the constant motion of the particle.

**Definition of force from First Law**: From first law, we see that we need to apply an external force to change its motion. Thus force may be defined as follows. What we apply from outside to change the motion or to change the shape, size or direction of an object is called force. Therefore force can change the velocity, shape or size of an object. SI unit of force is Newton. In c.g.s system unit of force is dyne. When frictional force applies to move the ball, it decreases the speed of the ball.

1 Newton force = 10^{5}dyne.

Inertia is a property of a body by virtue of which the body opposes a change in its initial state of rest or motion along a straight line. First law state that the motion of a body never changes unless the application of force. Thus if a body is in rest it tries to stay rest and if the body is in motion it tries to be in motion forever.

There are two types of inertia –

- Inertia of rest
- Inertia of motion

**Inertia of rest**: Inertia of rest means the body tries to stay in its rest state forever. Example: When a car or train starts moving suddenly the passengers bend backward. This is because when the train or bus moves suddenly our lower part of the body start to move i,e, become dynamic but our upper part of the body remains to its original static or rest state.

**Inertia of motion**: Inertia of motion means the body tries to stay in motion forever. Example: When a car or train stops suddenly we bend forward. Similarly, in this case, our lower part of the body become rest as the train or bus stop but our upper part tries to maintain its original motion.

To state the second law of motion we first need to introduce another physical quantity, momentum.

**Momentum**: In physics, momentum is defined as the product of mass and velocity. It is a vector quantity as velocity is. SI unit of momentum is *Kilogram-meter/second or Kg-m/s*.

Thus Momentump= m*v,

m = Mass of object and **v** = velocity.

Now understand what actually momentum is. Let an empty truck (less mass) moving with greater velocity than a loaded truck (with greater mass) moving with less velocity. If both trucks collide a wall, which truck will dismantle the wall more? If we take into account mass and velocity individually, it is hard to answer the question. Because it does not mean that more mass with less velocity will produce more damage than less mass with more velocity and vice versa. Thus another physical quantity is needed to introduce to explain this phenomenon. Momentum is a new kind of physical property of matter that arises when an object has some velocity and mass. Therefore multiplying mass by velocity, we can measure momentum.

### Newton’s Second Law

The rate of change of momentum is directly proportional to the applied force on the body and takes place in the direction of force.

I have already told you that the second law gives us the magnitude of the force. Now let us see how to deduce the formula of force.

newton's second law of motion mathematical formulaConsider a particle of mass 'm' having initial velocity '. After some time 'v_{1}t' velocity become. Then initial momentum isv_{2}mand final momentum isv_{1}m. Change of momentumv_{2}Δp=m−v_{2}mRate of change of momentum,v_{1}Δp/t =(m−v_{2}m)/v_{1}tAccording to second law, ForceF∞Δp/tor,F∞ (m−v_{2}m)/v_{1}tor,F= k*(m−v_{2}m)/v_{1}t, [Where 'k' = proportional constant;] orF= k*m*(−v_{2})/v_{1}torF= k*m*; [Wherea= acceleration = (a−v_{2})/v_{1}t] According to definition of 1 N force (to produce unit acceleration on unit mass, force required is one Newton) if mass is 1 kg, acceleration is 1 m/s_{2}, and force is 1 N then the constant 'k' is 1. Thus F = ma

This is the equation of force deduced from the second law of motion.

### Newton’s Third law:

Newton’s third law is stated as “every action there is an equal and opposite reaction”.

The statement means that body A exerts a force on body B, then an equal and opposite force will also exert on body A by body B. Example: Suppose a gun fire a bullet. The gun exerts a force on bullet. According to the third law, the bullet also exerts opposite and equal force on the gun. That’s why when the bullet is fired, the gun experience recoil in the backward direction.

Other good examples of Newton’s third law are rocket propulsion and a jet engine. The rocket contains solid fuel. Fuel burns and hot gasses propels out with very high velocity. This is an action. So the reaction of this force propels the rocket forward.

**Impulse**: Impulse is defined as the product of Force and time. Impulse is a vector quantity and its direction is along the direction of the force.

Force F * Time t = Impulse = Change in momentum.

If the time of contact of two moving bodies is small then a large change of momentum occurs producing a large impact of force.

**Centripetal force**: It is an external force that required maintaining the circular motion of a body. When a body moves circularly, its direction, as well as velocity, always changes. Therefore to changing velocity produces a change of momentum. According to the second law changing momentum gives us force. When an object rotates it always constitutes a centripetal force that acts along the center of curvature.

**Centrifugal force**: It is a Pseudo force and equal and opposite to centripetal force.

**Moment of Force**: Moment of force is an effect of rotation. The turning effect of an object about a point or an axis of rotation is known as a moment of force. In our daily life, we utilize the rotational effect. As an example, when we try to open a door by pushing nearer to hinges, a larger force is required. Thus rotational effects depend on two factors –

- How much force is applied i.e. magnitude of force;
- And the distance of force from the axis.

More the distance from the rotational axis less force is required. Thus the moment of force is mathematically described as the product of the magnitude of the force and the distance between the point on which force is applied and rotational axis.

Thus Moment of force = force × perpendicular distance;

It is a vector quantity. SI unit is Newton-meter (N-m).