Derive relation F = ma from Newton 2nd Law of Motion

Let us derive the relation of force F = ma from Newton’s second law:

According to the Newton’s 2nd Law of motion, the rate of change of linear momentum of a body is directly proportional to the applied external force and in the direction of force.

It means that the linear momentum will change faster when a bigger force is applied.

Consider a body of mass ‘m’ moving with velocity v.

The linear momentum of a body is given by: More >

Types of Inertia

There are basically three types of Inertia-:

(a) Inertia of Rest: The inability of a body to change by itself its state of rest is known as Inertia of Rest.

Examples:

(i) Person sitting in a car falls backwards, when the car suddenly starts. It is because the lower portion in contact with the car comes in motion where as the upper part tries to remain at rest due to inertia of rest.

(ii) When we shake the branch of a tree, the leave or the fruits falls down because the branches comes in motion  where as the leaves or the fruit tends to remain at rest and hence gets detached. More >

Force, inertia and linear momentum

Force: The pull or push which change or tends to change the state of rest or of uniform motion or direction of motion of an object is called Force.

The units and dimension of force:

 

We know that                                  F = ma

There are two types of units of force

(i) Absolute Units:

(a) In M.K.S or S.I unit, the absolute unit of force is Newton (N)

Where                                                    1N = 1kg ´ 1m/s2

So 1N is the force which produces an acceleration of 1m/s2 in a body of mass 1 kg. More >

3 important properties of nucleus

Some of the important properties of atomic nucleus are given below :

(a)   Nuclear charge : The charge on the nucleus is due to protons contained in it. The charge on each proton is + 1.6 x 10-19 coulomb which is equal in magnitude to thecharge of an electron. Taking the charge of a proton as one unit, the total charge on the nucleus is numerically equal to the numberof protons. For example, a hydrogen nucleus (i.e., proton) carries a single unit charge. More >