in kg for larger, heavier objects, but g for smaller lighter objects
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No. Kilogram is a unit of mass only. Weight is measured in units of force; the SI unit for force is the Newton.
In the metric system they weight is measured in Newton. Not gram or kilogram, which are measures of mass, not weight.
kilogram (kg) usually but it can also be measured in pounds
Like any force, a weight should be measured in newtons. However, if you are looking for the equivalent of a "pound", that may also be the kilogram - which is a unit of mass, not of weight.
A kilogram (Kg) is equivalent to 1 000 grams (g), so no, a gram does not weight more than a kilogram.