Question

Prove that..
please help
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Answer 1

`\large{ \boxed{ \bf{ \color{red}{Universal \: law \: of \: gravitation}}}}`

Every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance between them. The forces along the line joining the centre of the two objects.

❍ Let us consider two masses m1 and m2 line at a separation distance d. Let the force of attraction between the two objects be F.

According to universal law of gravitation,

`\large{ \longrightarrow{ \rm{F \propto m_1 m_2}}}`

Also,

`\large{ \longrightarrow{ \rm{ F \propto \frac{1}{ {d}^(2) } }}}`

Combining both, We will get

`\large{ \longrightarrow{ \rm{F \propto \frac{ m_1 m_2}{ {d}^(2)}}}}`

Or, We can write it as,

`\large{ \longrightarrow{ \rm{F \propto \: G \frac{ m_1 m_2}{ {d}^(2) }}}}`

Where, G is the constant of proportionality and it is called 'Universal Gravitational constant'.

☯️ Hence, derived !!

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