# Taylor approximation of e(v) [closed]

Relativistic mass $\displaystyle m(v)=\frac{m_o}{\sqrt{(1-(v/c)^2}}$

$m_o$ = mass of object measured at rest
$c$ = speed of light ($3\times 10^8\;m/s$)
$v$ = speed

If the total relativistic energy of an object is given by $E=mc^2$, then find the second-order Taylor approximation of $E(v)$. The zeroth-order term is called the "rest energy." What is the second-order term usually called?

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## migrated from math.stackexchange.comMay 12 '12 at 23:16

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## closed as too localized by David Z♦May 12 '12 at 23:30

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@ZevChonoles I agree. –  Alex Becker May 12 '12 at 21:12
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Hi user28710, and welcome to Physics Stack Exchange! This is a site for conceptual questions about physics, not general homework help. If you edit your question to show your thought process in working on this problem, and ask about the specific physics concept that is giving you trouble, I'll be happy to reopen it. See our FAQ and homework policy for more information. –  David Z May 12 '12 at 23:31