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It changes when an external force acts upon it.

In theory.

But in fact 'Rest Mass' is the only valid measure of mass of an object. If it is in relative motion with respect to anything else, including an observer, then it can also be assigned "momentum," which is a relative concept. We habitually anthropocentrically assign momentum to things in motion with respect to 'us'.

Consider also a gyroscope. It has momentum when it is spinning, so we say higher 'inertia'. We must eventually revert to the energy / mass relation; E=mc^2.

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