Newton's law of Universal gravitation
Newton discovered this law, in the process of analyzing
and interpreting Kepler's laws of planetary motions and realized
that the same law provides explanation for the revolution of the
moon around the Earth as well as that of falling bodies on the Earth.
Newton's law states:
"Every object exerts an attractive gravitational
force on every other object in the universe; the force is proportional
to each mass and inversely proportional to the square of distance
between them."
Centripetal force in uniform circular motion
The centripetal force is a generic term. In practice
the real interactions such as,
-
gravitational (in case of planets around
the sun or artificial satellites or the moon around the Earth).
-
Coulomb interaction (between nucleus
and electrons in the atom)
serve as the centripetal force.
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