Question

How does the law of universal gravitation apply to planet motion around the Sun?

Answer 1

Newton's law of general attraction is normally expressed as that each molecule pulls in each other molecule known to man with a power that is straightforwardly corresponding to the result of their masses and contrarily relative to the square of the distance between their focuses

Complete answer:
The law expresses that each point mass draws in each other point mass by power acting along the line crossing the two focuses. The power is relative to the result of the two masses, and conversely corresponding to the square of the distance between them.
The condition for widespread attraction in this manner takes the structure:
$F = G\dfrac{{{m_1}{m_2}}}{{{r^2}}}$
The gravitational forces which act among two objects are $F$, the object masses are ${m_1},{m_2}$, the distance between centers of their weights is $r$ and the gravitational constant is represented as $G$.
The Sun's gravitational power pulls on the planets which move opposite to this power consistently making a curved (in a perfect world round) way around the Sun.
Clarification:
We should utilize the Earth for instance:
As the Sun pulls the Earth towards it, the Earth moves rapidly (speed around $30km/s$) opposite to the power of gravity. These two powers make a resultant power pointed between the Sun and the Earth's way (we should simply say this $30$degrees). In this way, at all focuses around the Sun, the Earth will move at a $30$degree point, making a hover with sweep $r$ ($r = 93$million miles).

Note: Kepler's laws of planetary movement clarify how the planets moved around the sun yet not why. Newton filled in that hole by assuming there was power acting between the bodies that were moving around one another. Kepler's three laws of planetary movement permitted cosmologists to work out the situation of the planets later on dependent on information from past records.