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:

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

David's Special Relativity Set

139 kg 140 kg 141 kg 142 kg Correct

M

not listed

1 solution

David Hontz
Dec 22, 2016

$M = \gamma m_{\circ} = \frac{m_{\circ}}{ \sqrt{1 - \frac{v^2}{c^2}}} = \frac{92}{ \sqrt{1 - \frac{(0.75c)^2}{c^2}}} = \frac{92}{ \sqrt{1 - \frac{0.5625c^2}{c^2}}} = \frac{92}{ \sqrt{1 - 0.5625}} = \frac{92}{ \sqrt{0.4375}} = \boxed{139 \text{ kg}}$

Special Relativity: Relativistic Mass

David's Special Relativity Set

1 solution

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