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Deriving the equation for the rest-mass energy of a non relativistic object
Hello I am asked to derive this formula by applying a binomial expansion to the expression for 'gamma factor' (that funny y shaped symbol). To make things clear I will denote gamma as 'y' and beta as 'b'
Now I know that yb = ((y-1)(y+1))^1/2 and have proved it by changing b into an expression for y to get the right side of the equation. Now I am asked to use the binomial expansion on the expression for y to get this: ymc^2 = mc^2 + 1/2mv^2 O_o Which expression do I have to use? I read somewhere that objects at low speeds have y approaching to 1, how does this help me? |
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