Proove that E=m×c^2...
And don't give any other stuff than this ...
Answers
Answer:
Consider a body that moves at very close to the speed of light. A uniform force acts on it and, as a result, the force pumps energy and momentum into the body. That force cannot appreciably change the speed of the body because it is going just about as fast as it can. So all the increase of momentum = mass x velocity of the body is manifest as an increase of mass.
We want to show that in unit time the energy E gained by the body due to the action of the force is equal to mc2, where m is the mass gained by the body.

We have two relations between energy, force and momentum from earlier discussion. Applying them to the case at hand and combining the two outcomes returns E=mc2.
The first equation is:
Energy gained
= Force
x Distance through which force acts
The energy gained is labeled E. Since the body moves very close to c, the distance it moves in unit time is c or near enough.
The first equation is now
E = Force x c
The second equation is:
Momentum gained
= Force
x Time during which force acts
The unit time during which the force acts, the mass increases by an amount labeled m and the velocity stays constant at very close to c. Since momentum = mass x velocity, the momentum gained is m x c.
The second equation is now:
Force = m x c
Combining the two equations, we now have for energy gained E and mass gained m:
E = Force x c = (m x c) x c
Simplified, we have E = mc2
MARK
Answer:
No equation is more famous than E = mc2, and few are simpler. Indeed, the immortal equation’s fame rests largely on that utter simplicity: the energy E of a system is equal to its mass m multiplied by c2, the speed of light squared. The equation’s message is that the mass of a system measures its energy content. Yet E = mc2 tells us something even more fundamental. If we think of c, the speed of light, as one light year per year, the conversion factor c2 equals 1. That leaves us with E = m. Energy and mass are the same.
According to scientific folklore, Albert Einstein formulated this equation in 1905 and, in a single blow, explained how energy can be released in stars and nuclear explosions. This is a vast oversimplification. Einstein was neither the first person to consider the equivalence of mass and energy, nor did he actually prove it.
Anyone who sits through a freshman electricity and magnetism course learns that charged objects carry electric fields, and that moving charges also create magnetic fields. Hence, moving charged particles carry electromagnetic fields. Late 19th-century natural philosophers believed that electromagnetism was more fundamental than Isaac Newton’s laws of motion and that the electromagnetic field itself should provide the origin of mass. In 1881 J. J. Thomson, later a discoverer of the electron, made the first attempt to demonstrate how this might come about by explicitly calculating the magnetic field generated by a moving charged sphere and showing that the field in turn induced a mass into the sphere itself.