Question

derivation of the f=ma explain

Answer 1

it helps you in your work

Answer 2

Hi...

This derivation is simply based on newtons 2nd law of kimematics..

Acc..to sir issac newton ...

The accceleration produced in a body of given mass is directly proportinal to the force applied on it

i.e., F ∝ a ( if mass is same) ------------------- (i)

The force needed to produce a given acceleration in a body is directly proportional to the mass of the body. i.e.,
F ∝ m ( if acceleration is same) ------------------- (ii)

From equations (i) and (ii)

F ∝ ma

F = kma ------------------- (iii)


where, k = constant.

The unit of force is so chosen that, k = 1, when m = 1 and a = 1.


Then the amount of force which when applied on a body of unit mass, produces a unit acceleration in the body, is taken as one unit of force.

So we can express force mathematically as

F = ma

Force = mass × acceleration.


Hope this helps u!!!