Mechanical force is typically defined as the influence that causes an object to undergo a change in motion, which can include starting to move, stopping, or changing direction. In the context of your options, however, none of them precisely define mechanical force.
The closest and most relevant response from those listed is "the amount of energy used to move an object," but this is not a direct definition of mechanical force itself. The accurate definition of mechanical force usually relates to Newton's laws of motion, often quantified as mass times acceleration (F = ma).
If I were to clarify, the response that relates to force would actually be a derivation directly from Newton's second law, but "the amount of energy used to move an object" is more related to work rather than force.