Relativistic Mass and Momentum (HSC SSCE Physics): Flashcards

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Relativistic Mass and Momentum
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Rest mass symbol

m0m_0

Relativistic mass symbol

mm

Relativistic mass formula

m=m01−v2c2m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}}

Lorentz factor γ\gamma

γ=11−v2c2\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}

Relativistic momentum formula

p=m0v1−v2c2p = \frac{m_0 v}{\sqrt{1 - \frac{v^2}{c^2}}}

Why mass can't reach cc

Mass increases, acceleration decreases toward zero

Synchrotron definition

Circular accelerator using electric & magnetic fields

Relativistic mass effect on acceleration

Decreases: a=FRγma = \frac{F_R}{\gamma m}

Why particle accelerators are large

Higher energy needs larger radius due to relativistic mass

Speed of light cc value

3.0×1083.0 \times 10^8 m s−1^{-1}

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