State the dimensions of work
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Work = Force × Displacement. Or, W = [M1 L1 T-2] × [M0 L1 T0] = [M1 L2 T-2]. Therefore, work is dimensionally represented as [M1 L2 T-2].
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Answer:
we know that
W=F.d. (eqn .1)
dimensions of force =(MLT^-2)
dimensions of displacement=(L)
replacing in eqn ( 1 )
W=[MLT^-2] [L]
the power of same bases gets added so L becomes L ^2
hence
W= [ML^2T^-2]
hope this helps
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