Question

State newtons universal law of gravitation. Derive an expression for acceleration due to gravity

Answer 1

Newton's law of universal gravitation states that a particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Here is the derivation/expression

https://byjus.com/acceleration-due-to-gravity-formula

Answer 2

$\textbf{Derivation is in Attachment !!}$

$\textbf{Acceleration due to gravity :}$
According to universal law of gravitational... two bodies in a universe attract each other with a force that is directly proportional to their masses and inversally proportional to the square of distance between them...

i.e.

$F$ α $m_{1}\:m_{2}$ ....(1)

$F$ α $\dfrac{1}{r}^{2}$ .....(2)

From (1) and (2)

F = $\dfrac{G(m_{1}\:\times\:m_{2})}{{r}^{2}}$

→ Here...

F = Gravitational force

$m_{1}$ = mass 1

$m_{2}$ = mass 2

r = distance between centre of masses.

→ Value of G = 6.7 × 10¹¹ Nm²/kg²

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