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1gcm² is not a force. It can be 1 gcm/s².

force = 1 gcm/s² = 10^(-5) N
displacement = 1m
work done,W₁ = Fs = 10^(-5)×1 = 10^(-5) J

Work done by a force 1N in displacing the object by 1m is given by
W₂ = 1×1 = 1J

 \frac{W_2}{W_1} = \frac{1}{10^{-5}} \\ \\ \Rightarrow \frac{W_2}{W_1} = 10^5\\ \\ \Rightarrow W_2=10^5W_1