Question

State Newton's law of gravitation. Give its mathematical expression​

Answer 1

Answer:

Every particle in the universe attracts every other particle with a force along a line joining them.

Equation:

F =

$\frac{gm1m2}{r^{2} }$

where F is the magnitude of the gravitational force.

G Is the Gravitational Constant. =6.67408 × 10-11 m3 kg-1 s-2

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Answer 2

Newton's Law of Gravitation :-

Every body in the universe attract every others body with a force which is directly proportional to the product of thier masses and inversely proportional to the square of the distance between them.

Note : Newton's law of gravitation also known as universal law of gravitation.

Let us consider two objects of mass "m₁" and "m₂" at a distance r and the force of attraction between the two objects be F.

$: \implies \sf{F \propto m_{1} \times m_{2} \: ..(i)}$

$: \implies \sf{F \propto \dfrac{1}{ {r}^{2} } \: ..(ii)}$

From equation (i) and (ii)

${: \implies \sf{F \propto \dfrac{ m_{1} \times m_{2} }{ {r}^{2} } }}$

${: \implies \sf{F = G \times \dfrac{ m_{1} \times m_{2} }{ {r}^{2} } }}$

Where, G is constant and also known an universal gravitational constant.

${ \underline { \boxed {: \implies \sf{F = G \times \dfrac{ m_{1} \times m_{2} }{ {r}^{2} } }}}} \: \red\bigstar$