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Why can't we use the Law of Conservation of Momentum to break the light barrier?

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  • Why can't we use the law of conservation of momentum to break the light barrier?

    For example, let us take two objects of the same size with one thrice as heavier as the other one.Speed up the heavier object to a speed that is half of the speed of light and make it collide with the other object, which is at rest. Supposing the heavier object comes to rest.Then, by law of conservation of momentum, the other object is travelling faster than light. Bingo!Or is this too far-fetched?

    Answer:

    It might seem that way if you take only the nonrelativistic Newtonian formula p = mv. But it turns out...

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