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from scipy.constants import g | ||
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""" | ||
Finding the gravitational potential energy of an object with reference | ||
to the earth,by taking its mass and height above the ground as input | ||
Description : Gravitational energy or gravitational potential energy | ||
is the potential energy a massive object has in relation to another | ||
massive object due to gravity. It is the potential energy associated | ||
with the gravitational field, which is released (converted into | ||
kinetic energy) when the objects fall towards each other. | ||
Gravitational potential energy increases when two objects | ||
are brought further apart. | ||
For two pairwise interacting point particles, the gravitational | ||
potential energy U is given by | ||
U=-GMm/R | ||
where M and m are the masses of the two particles, R is the distance | ||
between them, and G is the gravitational constant. | ||
Close to the Earth's surface, the gravitational field is approximately | ||
constant, and the gravitational potential energy of an object reduces to | ||
U=mgh | ||
where m is the object's mass, g=GM/R² is the gravity of Earth, and h is | ||
the height of the object's center of mass above a chosen reference level. | ||
Reference : "https://en.m.wikipedia.org/wiki/Gravitational_energy" | ||
""" | ||
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def potential_energy(mass: float, height: float) -> float: | ||
# function will accept mass and height as parameters and return potential energy | ||
""" | ||
>>> potential_energy(10,10) | ||
980.665 | ||
>>> potential_energy(0,5) | ||
0.0 | ||
>>> potential_energy(8,0) | ||
0.0 | ||
>>> potential_energy(10,5) | ||
490.3325 | ||
>>> potential_energy(0,0) | ||
0.0 | ||
>>> potential_energy(2,8) | ||
156.9064 | ||
>>> potential_energy(20,100) | ||
19613.3 | ||
""" | ||
if mass < 0: | ||
# handling of negative values of mass | ||
raise ValueError("The mass of a body cannot be negative") | ||
if height < 0: | ||
# handling of negative values of height | ||
raise ValueError("The height above the ground cannot be negative") | ||
return mass * g * height | ||
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if __name__ == "__main__": | ||
from doctest import testmod | ||
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testmod(name="potential_energy") |
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