Q: What is the formula that relates matter to energy?

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mass = volume x density

Euler's formula is important because it relates famous constants, such as pi, zero, Euler's number 'e', and an imaginary number 'i' in one equation. The formula is (e raised to the i times pi) plus 1 equals 0.

The correct formula for solving GPE (Gravitational Potential Energy) is as follows: ~GPE = wh ~Gravitational Potential Energy = weight of an object multiplied by height of an object ~The SI unit for this formula is *J* (Joules)

useful energy output divided by total energy output x 100 give answer as a percentage, which is why you multiplied by 100

Assuming you meant mechanical, Energy output / Input x 100

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Albert Einstein

E=mc2

What formula, developed by Albert Einstein, describes the relationship between energy and matter? "Nuclear reactions convert matter into energy. In 1905, Albert Einstein developed a formula that described the relationship between energy and matter. You have probably seen this famous equation, E=mc2. In the equation, the E represents energy and m represents mass. The c, which represents the speed of light, is a very large number. This equation states that when matter is changed into energy, an enormous amount of energy is released."

it relates to amplitude

Energy directly relates the the temperature of a substance. The more energy in is proportional to a higher temperature. The inverse is also true. When changing states you must use the formula Q=ML where Q is the energy in Jules, M is the mass in grams and L is the latent heat (fusion or vaporization) of the substance. This determines how much energy is needed to change state.

This can be answered by observation and physics:Quarks are matter and matter does not contain all energy as there is free energy available in the universe as heat, radiation and gravity etc.The theory of relativity relates the amount of energy in any given amount of matter by the equation E=mC2. As a consequence, as the mass of all quarks or any quark is finite, it cannot contain infinite energy.

The second law of thermodynamics states essentially that it is impossible for heat to flow from a cooler body to a hotter one, without the performance of work by an external agency. I'm not sure how this relates to your wording of 'matter and energy'.

It might be considered that way, because of the formula E=mc2. That doesn't mean you can freely convert matter to energy and vice versa, but in some cases this is possible.

The Alchemist needs to apply heat to the particles to change their kinetic energy and make them change states of matter.

relevant

w=mg