### Force – Basic Concepts of Physics

##### March 28, 2017

# What is Force?

Force is a push or pull. If you are pushing a box, you are certainly applying a force. If you are pulling a rope you are again applying a force. As a force is applied on a body, it results into an acceleration of the body. Now what is acceleration?

## Force causes Acceleration

Acceleration is the __rate__ of change of __velocity__. Say you are walking with a velocity of 2 meter/sec. Now you speed up little more by applying your **muscle force** and start to walk with a velocity of 3 meter/sec.

So the change of velocity is = (3 – 2) meter/second= 1 meter/second

And you took, say, 2 seconds to increase your velocity.

So Acceleration = the rate of change of velocity = (Total change of velocity) / (time taken to change the velocity)

= (1 meter/sec)/2 second = (½) meter/second^{2 }=0.5 meter/second^{2}.

Note that the acceleration has time twice in its unit and hopefully you have noticed how it got that twice in the above calculation.

**It can be proved from Newton’s 2nd Law of motion that, ****Force(F) = Mass X Acceleration**

**i.e. F=m * a, (here m=mass and a= acceleration)………………………..(1)**

If we kick a ball at rest, it starts moving. That means a change in its velocity happens and it took some time for this change. That means an acceleration of the ball is generated by the kick (a push). That’s an example of a force which generates an acceleration of the body on which the force is applied.

Similarly if we kick a moving ball and its velocity changes (change in magnitude or direction or both of velocity) then it’s because of the force applied through the kick. And if we stop a running ball, similarly we are applying a force, as its velocity of the ball changes in a given time.

#### What is Net Force?

Force is a Vector Quantity as we need to mention both the magnitude and direction of a force to define it.

And Net force is the **vector summation** of all components of all forces acting on a system.

**No Net force, No acceleration – Newton’s first law of motion**

If there is no net force acting on a system i.e. if net force is 0 then from the formula of Force above, acceleration is also 0. (considering a non zero mass).

Note that we are saying ‘no net force” that means this is true even when there are multiple components of force working in or on a system but eventually they nullify and net effort or force on the system is zero.

As example, say two teams in a tug of war are pulling each other in opposite direction with equal forces. In this case the net force on the rope is zero.

In details using formula,

we know, F= m * a;

when net force (F) is zero then we can write,

0=m * a

or, a=0 (considering mass m is non-zero)

###### Newton’s First Law of motion

So if no net force is applied externally, a stationary object will not have any acceleration i.e. the static object will continue to remain static.Similarly if no net force is applied on a moving body, it won’t have any acceleration i.e. it will continue to move with uniform velocity. This is said by the Newton’s First Law of motion and true for all inertial frame of reference.

Read this to know about** Inertial frame of reference.**

#### Unit of Force – Newton

In SI the unit of force is** Newton**.

**Newton**: One Newton is the amount of force which can generate an acceleration of 1 meter/second^2 when applied on a mass of 1 Kg.

Note: Force is a Vector Quantity.

**Related Posts:**

**Friction and Newton’s 3rd law of motion: read here**

**Newton’s first law and Inertial frame of reference**

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