what is dimensions formula of force ?
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Dimensional formula of force is = [M1 L1 T-2] Dimensional equation of force is [force] = [M1 L1 T-2] As discussed above you can find the dimensions of any given physical quantities.
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Answer:
M¹ L¹ T^-2
Explanation:
The dimensional formula of force is given by,
M¹ L¹ T^-2
Where,
M = Mass
L = Length
T = Time
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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