Final answer:
The potential energy stored in the bow before the arrow is released can be calculated using the formula PE = (1/2) k x^2, where PE is the potential energy, k is the spring constant of the bow, and x is the distance the bow is pulled back. However, the specific potential energy value cannot be calculated without the spring constant.
Step-by-step explanation:
The potential energy stored in the bow before the arrow is released can be calculated using the formula:
PE = (1/2) k x^2
where PE is the potential energy, k is the spring constant of the bow, and x is the distance the bow is pulled back. In this case, the distance pulled back is 0.30m and the average force exerted is 40.00N. However, the provided information does not include the spring constant of the bow, so we cannot calculate the specific potential energy value.