Following a verb, 気(き) can convey a person's inclination or motivation toward that specific activity. A common English equivalent for this usage is 'to feel like doing (A)'. If we consider its literal meaning, 気(き) can be thought of as 'spirit' or 'intention'. This is comparable to English expressions like 'to be in the mood to (A)', which suggests that the speaker is either drawn toward or pushed away from performing the action (A).

• ご飯(はん)を食(た)べたら、掃除(そうじ)をする気(き)がなくなった。
  After I ate, I lost all inclination to clean the house.
• よし、働(はたら)く気(き)が出(で)てきた！
  Okay, I'm finally getting in the mood to work!
• こんなにたくさん、一人(ひとり)で全部(ぜんぶ)食(た)べきれる気(き)がしない。
  This is so much food; I don't think I can eat it all by myself.

Since 気(き) functions as a noun that signifies the 'intention' or 'spirit' to perform an action (A), it can pair with various verbs, each adding a distinct shade of meaning. Frequently seen combinations include 気(き)がある 'to have an interest in (A)', 気(き)がない 'to have no interest in (A)', 気(き)がする 'to have a feeling that (A)', 気(き)がしない 'to not feel that (A)', 気(き)が出(で)る 'for motivation for (A) to appear', and 気(き)が出(で)ない 'for motivation for (A) to not appear'.