Special Relativity: Relativistic Mass

Classical Mechanics Level 1

In a joint Hungarian-German study, a solidified ice block of Hydrogen (\( H^1_1\)) was accelerated to \(0.75c\), where \(c\) is the speed of light in vacuum. Determine the observable relativistic mass (\(M\)) of the \(H^1_1\) block when the rest mass (\(m_{\circ}\)) is \(92 \text{ kg }\) by using the following formula:

\[ M = \gamma m_{\circ} = \frac{m_{\circ}}{ \sqrt{1 - \frac{v^2}{c^2}}} \]