How Can Electrons Travel Close to Light Speed While Remaining So Light?

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i was told that
when we speed up a particle the closer it gets to the speed of light
the more energy you need to put in in order to increase his speed

and the closer he gets closer the heavier he gets

E=mc^2

my question is than
how does a simple electron or other particle which can travel at the speed of
light can be so light (weighs very little)?

because the more we push the particle the heavier it gets
and still it never reaches the spedd off light only come closer
explonesioly
 
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transgalactic said:
i was told that
when we speed up a particle the closer it gets to the speed of light
the more energy you need to put in in order to increase his speed

and the closer he gets closer the heavier he gets

E=mc^2

my question is than
how does a simple electron or other particle which can travel at the speed of
light can be so light (weighs very little)?

Erm.. an electron cannot travel at the speed of light. Special relativity states that massives particles can never break through the speed of light boundary (i.e. that if a massive particle is traveling slower than the speed of light, it can never go faster than the speed of light, or even equal to the speed of light) and that particles with zero mass must travel at precisely the speed of light.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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