If the energy content of the earth moving in space=mc^2 so wouldnt gravity mass carry the same in the earth?

Answer 1

Good question. I'll restate the question as I understand it: does the orbital energy of the Earth act through the E=mc^2 equation to provide more gravitational mass?

The short answer is yes. Einstein's equations of general relativity show that both mass and energy generate gravitational fields. One way to think about this is through the E=mc^2 equation.

In the same way, although photons are massless, they still have gravitational fields because they carry energy. A photon's gravitational field, however, is extremely weak.

Interestingly, in analogy with accelerating charges emitting electromagnetic radiation, an accelerating mass will emit gravitational radiation (or gravitational waves). Many scientific teams are working on building gravitational wave detectors, and we should have a detection within the next decade.

Answer 2

Do not confuse energy with gravity.
The equation E=mc^2 calculates how much energy there is in a certain amount of mass; it also says that a mass will be converted into energy when traveling at the speed of light. Energy is required to make something happen. To make a simple example, even to boil water you need energy.
Although gravity is dependent on the amount of mass, it is a force exerted on other masses; it is not required to make something happen. So, to boil water, gravity is not required.
Even where there are no other bodies to exert gravitation on our water analogy like in a totally empty space, in order to transform liquid water into water vapor (in short to boil water), you will need energy. Gravity will not play a role there, although the water itself will exert a gravitational attraction.
Even your body exerts gravity, on the objects around you and on the Earth; your body does not attract these objects as the Earth does, because the Earth's gravity is much more powerful and, in a way, supersedes the gravity exerted by your body.
I am trying to convey the meanings in simple words; the subjects are much more complicated.

Answer 3

E= mc^2

Answer 4

The equation refers to the energy released if you convert mass into energy. It has nothing to do with the earth traveling in its orbit around the sun.