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Strictly speaking a kilogram is a measure of mass while a Newton is a measure of force.

An object's weight is the force of gravity acting on it. The object's mass stays the same everywhere but its weight can depend on where it is.

A Newton is defined as the force that will accelerate a 1-kg mass by 1 m/s/s.

A 1-kg mass dropped near the Earth's surface will accelerate by 9.806 m/s/s, so the force of gravity on it is 9.806 Newtons (because force = mass x acceleration).

So a 1-kg mass has a weight which is a force of 9.806 Newtons, or 0.009806 kilonewtons. On the Moon the same 1-kg mass would have less weight, 1.6 Newtons.

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