Calculate the linear momentum, total energy (in MeV) and kinetic energy (in MeV) of a particle travelling at 0.5 c, given that its rest mass is 938 MeV.
To calculate the linear momentum, total energy, and kinetic energy of a particle traveling at \( 0.5c \) (half the speed of light), we can use relativistic formulas. Here are the calculations:
1. Linear Momentum:
The linear momentum (\( p \)) of a particle with relativistic speed can be calculated using the formula:
\[ p = \gamma m v \]
where:
- \( \gamma \) is the Lorentz factor, \( \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \),
- \( m \) is the rest mass of the particle,
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