Question

Derived First newton and second newton?

Answer 1

hiiii mate here is the answer



Shan1111 Ace
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:

p = mv

Now According to Newton’s 2nd Law of Motion:

Force is directly proportional to rate of change of momnetum, that is

F α dp/dt

F  = k dp/dt

F = k d(mv)/dt

F = k md(v)/dt

F = k ma

Experimentally k =1

F = k ma

Which is the required equation of force.

NEWTON'S FIRST LAW
The body moves (accelerates) when a force is applied to it that is 

F = ma --> a = F / m 

When there is no force acting on the body (F = 0), then the body won't move or would remain in motion with constant velocity (won't accelerate in both cases: a = 0), why? Because 

a = F / m and F =0 --> a = 0 

So we can state the first law: A body will remain at rest or constant velocity unless a force in acted upon it.

hope it may help you

(there is only one Newton but he have the first and second law)

Answer 2

Newton’s First Law of Motion also known as Law of Inertia 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 Motion 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.