Centre of gravity is when the total weight of the body may be thought to be concentrated, this is as if the object behave as if the whole body weight was concentrated on him. The concept is sometimes useful in predicting the behaviour of a moving body when it is acted on by gravity.
Many people confudem the center of gravity with the center of mass, because they think that they are the same thing and this is a mistake because the center of mass is the point where we can assume that all the mass of a body is concentrated and that all external forces acting at this point since the center of gravity represents the point where the weight of the body act.And to show the difference and I'll show you an example the Moon’s centre of mass is very close to its geometric centre (it is not exact because the Moon is not a perfect uniform sphere), but its centre of gravity is slightly displaced toward Earth because of the stronger gravitational force on the Moon’s near side.
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