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* updating DIRECTORY.md
* feat: Add mass energy equivalence in physics
* updating DIRECTORY.md
* updating DIRECTORY.md
* Apply suggestions from code review
* Update physics/mass_energy_equivalence.py
* Update mass_energy_equivalence.py
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: Tianyi Zheng <tianyizheng02@gmail.com>
78 lines
2.1 KiB
Python
78 lines
2.1 KiB
Python
"""
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Title:
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Finding the energy equivalence of mass and mass equivalence of energy
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by Einstein's equation.
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Description:
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Einstein's mass-energy equivalence is a pivotal concept in theoretical physics.
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It asserts that energy (E) and mass (m) are directly related by the speed of
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light in vacuum (c) squared, as described in the equation E = mc². This means that
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mass and energy are interchangeable; a mass increase corresponds to an energy increase,
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and vice versa. This principle has profound implications in nuclear reactions,
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explaining the release of immense energy from minuscule changes in atomic nuclei.
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Equations:
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E = mc² and m = E/c², where m is mass, E is Energy, c is speed of light in vacuum.
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Reference:
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https://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalence
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"""
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from scipy.constants import c # speed of light in vacuum (299792458 m/s)
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def energy_from_mass(mass: float) -> float:
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"""
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Calculates the Energy equivalence of the Mass using E = mc²
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in SI units J from Mass in kg.
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mass (float): Mass of body.
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Usage example:
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>>> energy_from_mass(124.56)
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1.11948945063458e+19
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>>> energy_from_mass(320)
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2.8760165719578165e+19
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>>> energy_from_mass(0)
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0.0
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>>> energy_from_mass(-967.9)
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Traceback (most recent call last):
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...
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ValueError: Mass can't be negative.
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"""
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if mass < 0:
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raise ValueError("Mass can't be negative.")
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return mass * c**2
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def mass_from_energy(energy: float) -> float:
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"""
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Calculates the Mass equivalence of the Energy using m = E/c²
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in SI units kg from Energy in J.
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energy (float): Mass of body.
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Usage example:
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>>> mass_from_energy(124.56)
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1.3859169098203872e-15
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>>> mass_from_energy(320)
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3.560480179371579e-15
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>>> mass_from_energy(0)
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0.0
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>>> mass_from_energy(-967.9)
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Traceback (most recent call last):
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...
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ValueError: Energy can't be negative.
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"""
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if energy < 0:
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raise ValueError("Energy can't be negative.")
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return energy / c**2
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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