Prove that newton's second law of motion is the real law
We shall derive the 1st and the 3rd law of motion fron the 2nd law.
Derivation of 1st 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.
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 3rd 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 2nd law of motion is the most basic law of motion.