The potential energy of a 40 kg cannon ball is 14000 J. How high was the cannon ball to have this much potential energy?

From the information given, cannon ball weighs 40 kg and has a potential energy of 14000 J.

We need to find its height.

We will use the formula P. E = mgh

Therefore h = P. E / mg

where P. E is the potential energy,

m is mass in kg,

g is acceleration due to gravity (9.8 m/s²)

h is the height of the object's displacement in meters.

h = P. E. / mg

h = 14000 / 40 * 9.8

h = 14000 / 392

h = 35.7

Therefore the canon ball was 35.7 meters high.