Question

derive dimentionl formula of Force
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Answer 1

Answer:

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Explanation:

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Answer 2

Explanation:

The dimensional formula of force is given by,

M1 L1 T-2

Where,

M = Mass

L = Length

T = Time

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] × [L1 T-2] = M1 L1 T-2.

Therefore, Force is dimensionally represented as M1 L1 T-2.

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