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I read on an answer to a question that the force to lift an object has to be greater than the weight of the object for there to be any vertical movement

My question is that to apply a force vertically equal to the weight of the object first you need to apply a force to cancel out the weight so the object stands still, then you need to apply the force again to have a vertical force equal to the weight of the object.

Doesn't this mean if we apply a force equal to twice the weight of the object over 10 meters the energy applied will be equal to 10*2*weight but the potential energy will be pe=mgh so pe=10*weight. My question is why is the energy applied not equal to the potential energy?

Any help will be greatly appreciated, thank you!