As compared to Earth, you mean? If an object doesn't change its shape, the center of mass doesn't depend on gravity - and the center of gravity hardly does so.
No, an object can only have one center of gravity. The center of gravity is a point where the entire weight of the object can be considered to act, regardless of the object's orientation.
No. Gravity always behaves according to the same formula, introduced by Newton.But the gravitational forces between you and the Earth certainly change when thedistance between you and the Earth's center changes significantly.
Drinking alcohol doesn't change a person's center of gravity but drinking too much can reduce a person's equilibrium.
No, because mass is the amount of matter contained in a body. So whatever may be the distance from the center of gravity it always remains the same.
It depends on which reference frame you want to use. According to the reference frame connected to the crane, it will not change. According to the reference frame associated with the ground the center of gravity will of course change.
No, the center of mass and the center of gravity are the same point on an object when it is in a uniform gravitational field. However, they can differ when there are variations in the gravitational field, such as near a planet's surface with uneven mass distribution.
The center of gravity of an object does not change with the size of the object because it depends on the distribution of mass within the object, not its overall size. If the distribution of mass within the object remains constant as the size changes, the center of gravity will also remain constant.
change the center of gravity (or mass) [balast - keel - move cargo]
No, acceleration due to gravity does not change the weight of an object. Weight is determined by the mass of the object and the acceleration due to gravity in that location. The acceleration due to gravity affects the force with which an object is pulled toward the center of the Earth, leading to its weight.
No. The black hole at the center of the galaxy is too far away to affect earth.
In general, an object's mass CANNOT change, unless you take something away from it or add something to it.