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### Is there energy associated with intrinsic inertia, the rest mass?

We could have the object at rest to annihilate with an "anti-object", producing radiation possessing energy.
So, yes, there is energy associated with the rest mass.

while creating an atom, various particles like electrons, protons, neutrons are to be brought in together. Every bit of energy that goes into creating the object would be accompanied by an increase in inertia.

According to relation E = ΜC^2

The following figure sketches this symbolically. Starting from zero for both the object's energy and its inertia and adding up increments, we emerge with E=MC^2.

The attribute energy is always accompanied by attribute inertia.

In 1905, Einstein summarized his theoretical discovery with the sentence,

" The mass [i.e inertia] of a body is a measure of its energy content."

Energy , in all forms has property of inertia, the reluctance to undergo a change in velocity. The more energy that went into forming a body, the more inertia the body has.