Question

Prove E=mc². The theory of relativity,

What is it all about.

in 200 words

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Answer 1

steps to.prove Einstein's theory of relativity

1) square the formual of relativistic mass

2) after this, differentiate the eqaution with respect to m

3)we know that change in kinetic energy is the total work done....

also total work done is force×distance

and force is rate of change of momentum

so, taking distance as small ds and force, in small dt;as d/dt ×mv=rate of change in momentum=fs

so work done=dmv /dt×ds

further u can understand....

Note: there might be confusion that dm/dt

must be equal to zero coz mass is constant,but it is not true as according to Einstein, mass is not constant but changeable..

now let's understand,what this amazing concept actually means

E=Mc^2

is formulae,mein E ka mtlb energy,C ka mtlb speed of light aur M ka mtlb kisi object ka mass nhi blki uska kitna mass distroy hua ye show krta hai..ye concept Hume yh show krta hai ki agr chote se chota mass bhi distroy hoga,toh wo bhut jyada energy paida krega,kyuki uss chote se mass ka multiplication speed of light ke square se hota hai..Jo ki energy ke equal hai......

Nuclear fusion and fission both are based on this amazing concept

Answer 2

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

We now see where the two c's in c2=cxc come from. One comes from the equation relating energy to distance; the second comes from the equation relating momentum to time.

This derivation is for the special case at hand and further argumentation is needed to show that in all cases a mass m and energy E are related by Einstein's equation.

here is your answer mate mark as brainliest