Question

Derive formula of Force​

Answer 1

Answer:

Derivation :

Newton is the SI unit of Force. Therefore, the dimensional formula of Newton is same as that of the force.

⇒ Force = Mass of body × Acceleration . . . . (1)

Since acceleration is the product of velocity and [time]–1

Or, acceleration = [LT-1] × [T]-1

Therefore, the dimensions of acceleration = [M0 L1 T-2] . . . . (2)

And, the dimensional formula of mass = [M1 L0 T0] . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Force (Newton) = Mass of body × Acceleration

Or, F = [M1 L0 T0] × [M0 L1 T-2] = M1 L1 T-2.

Therefore, Newton is dimensionally represented as M1 L1 T-2

✅Hope it helps you ❗