mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
68faebe711
* 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
"""
|
|
Title:
|
|
Finding the energy equivalence of mass and mass equivalence of energy
|
|
by Einstein's equation.
|
|
|
|
Description:
|
|
Einstein's mass-energy equivalence is a pivotal concept in theoretical physics.
|
|
It asserts that energy (E) and mass (m) are directly related by the speed of
|
|
light in vacuum (c) squared, as described in the equation E = mc². This means that
|
|
mass and energy are interchangeable; a mass increase corresponds to an energy increase,
|
|
and vice versa. This principle has profound implications in nuclear reactions,
|
|
explaining the release of immense energy from minuscule changes in atomic nuclei.
|
|
|
|
Equations:
|
|
E = mc² and m = E/c², where m is mass, E is Energy, c is speed of light in vacuum.
|
|
|
|
Reference:
|
|
https://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalence
|
|
"""
|
|
|
|
from scipy.constants import c # speed of light in vacuum (299792458 m/s)
|
|
|
|
|
|
def energy_from_mass(mass: float) -> float:
|
|
"""
|
|
Calculates the Energy equivalence of the Mass using E = mc²
|
|
in SI units J from Mass in kg.
|
|
|
|
mass (float): Mass of body.
|
|
|
|
Usage example:
|
|
>>> energy_from_mass(124.56)
|
|
1.11948945063458e+19
|
|
>>> energy_from_mass(320)
|
|
2.8760165719578165e+19
|
|
>>> energy_from_mass(0)
|
|
0.0
|
|
>>> energy_from_mass(-967.9)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Mass can't be negative.
|
|
|
|
"""
|
|
if mass < 0:
|
|
raise ValueError("Mass can't be negative.")
|
|
return mass * c**2
|
|
|
|
|
|
def mass_from_energy(energy: float) -> float:
|
|
"""
|
|
Calculates the Mass equivalence of the Energy using m = E/c²
|
|
in SI units kg from Energy in J.
|
|
|
|
energy (float): Mass of body.
|
|
|
|
Usage example:
|
|
>>> mass_from_energy(124.56)
|
|
1.3859169098203872e-15
|
|
>>> mass_from_energy(320)
|
|
3.560480179371579e-15
|
|
>>> mass_from_energy(0)
|
|
0.0
|
|
>>> mass_from_energy(-967.9)
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: Energy can't be negative.
|
|
|
|
"""
|
|
if energy < 0:
|
|
raise ValueError("Energy can't be negative.")
|
|
return energy / c**2
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|