Einstein's Special Theory of Relativity says that the mass $m$ of an object moving at a velocity $v$ is given by the formula $$m = \frac{m_0}{\sqrt{1-v^2/c^2}}=m_0\left(1-\frac{v^2}{c^2}\right)^{-1/2}.$$ Here $m_0$ is the rest mass (mass at velocity 0) and $c$ is the speed of light. Use differentials to estimate the percentage increase of the object as its velocity increases from $v=0.94c$ to $0.95c$. Evaluate the necessary derivative at $v=0.94c$.
Your answer: percent.