write the dimensional formula for momemtum
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Derivation. Or, L = [M1 L0 T0] × [M0 L1 T-1] = [M1 L1 T-1]. Therefore, linear momentum is dimensionally represented as [M1 L1 T-1].
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Dimensional Formula of Linear Momentum
The dimensional formula of linear momentum is given by,
[M1 L1 T-1]
Where,
M = Mass
L = Length
T = Time
Derivation
Linear Momentum = Mass × [Velocity] . . . . . . (1)
The dimensional formula of,
Mass = [M1 L0 T0] . . . . (2)
Velocity = [M0 L1 T-1] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Linear Momentum = Mass × [Velocity]
Or, L = [M1 L0 T0] × [M0 L1 T-1] = [M1 L1 T-1].
Therefore, linear momentum is dimensionally represented as [M1 L1 T-1].
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