Final answer:
The arrow fired from a bow with 40 J of potential energy, in an ideal condition without air resistance, will have a kinetic energy of 40 J.
Step-by-step explanation:
When a bow is drawn and holds 40 J of potential energy, upon release, in an ideal situation where air resistance is ignored, the arrow will have kinetic energy equal to that potential energy, namely 40 J. The conservation of energy principle dictates that the energy in a closed system remains constant.