Question

The dimensional fomula for force is_____

Answer 1

Hello there

The dimensional formula for force is MLT^-2

Force = mass × acceleration

Force = M * velocity / time

Force = M * displacement / time^2

Force = MLT^-2

Answer 2

M^1 L^1 T^-2 is the dimensional formula of force.

DERIVATION:

Force = Mass × Acceleration . . . . (1)

Since, acceleration = velocity × [time]–1 = [LT-1] × [T]-1

Therefore, the dimensional formula of acceleration = [LT^-2] . . . . (2)

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

Force = m × a

Or, F = [M] × [L^1 T^-2] = M^1 L^1 T^-2.

Force is  represented as M^1 L^1 T^-2

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