As we know, if we bring an object from ground to sky (higher position) by normal methods, extra energy is required to overcome the gravitational potential energy.
Then if a wormhole connects between ground and sky, does extra energy also require to overcome the gravitational potential energy if an object passes through it? If so, when, and how would the extra energy is supplied? (eg: Does extra force required to push the object pass through the wormhole? Or the object loss mass to overcome the potential energy?)