Question
Wed September 11, 2013 By: Abhishek Kapoor
 

prove that newton's second law of motion is called real law of motion?

Expert Reply
Wed September 11, 2013

We shall derive the 1 st and the 3 rd law of motion fron the 2 nd law.

Derivation of 1 st law:

According to Newton’s 2 nd law of motion,

F = ma

Where, F is the force applied, m is the mass of the body and a is the acceleration of the body.

So,

In absence of a force,

F = 0

=> ma = 0

=> a = 0

Since, m cannot be zero for a body.

Zero acceleration means, body at rest will remain at rest and a body in uniform motion will continue its uniform motion. Which is Newton’s 1 st law of motion.

Derivation of 3 rd law:

Consider an isolated system of two bodies A and B. An isolated system is such that no force acts on the system.

This is the Newton’s third law of motion for a body exerting some force on another.

Thus, Newton’s 2 nd law of motion is the most basic law of motion.

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