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What type of energy are you measuring when you measure all the energy related to an object's motion and all the energy of the atomic and molecular particles that make up the object?

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Energy in an object's motion is kinetic energy. Energy in an object because of its position in a gravitational field is potential energy.

Energy of the movement of molecular particles is thermal energy called sensible heat/energy.

And energy relating to atomic bonds is chemical potential energy.

Also

The pure mass of all the matter (the protons, neutrons and electrons) contains an amount of energy that dwarfs all the other energies combined. It is the energy in what is called the mass-energy equivalent. It is what Einstein was talking about in the equation E=mc2.

As the conversion factor from mass to energy is the square of the speed of light, there is a boatload of energy in just the tiniest bit of matter. (Consider atomic weapons, where just the smallest bit of mass is converted into energy. Boom!)

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