Final answer:
The cannonball was approximately 35.7 meters high to have a potential energy of 14000 J.
Step-by-step explanation:
First, let's find the gravitational potential energy using the formula:PE = mgh
where PE is the potential energy, m is the mass, g is the gravitational acceleration (approximately 9.8 m/s2), and h is the height.
Given that the potential energy is 14000 J and the mass is 40 kg, we can rearrange the formula to solve for h:h = PE / (mg)
Plugging in the values, we have: h = 14000 J / (40 kg * 9.8 m/s2)
Simplifying, we get: h ≈ 35.7 m
Therefore, the cannonball was approximately 35.7 meters high to have a potential energy of 14000 J.