Physics, asked by Anonymous, 8 months ago

${\Boxed{Derive}}$

$g = \dfrac{GM}{r^{2}}$

Answers

Answered by Anonymous

Heya!!

_____________________________________

Given,

g = $\frac{GM}{r^{2}}$

Now...

Relation between 'g' and "G"-

Suppose a boy of mass "m" is on the surface of the earth

$m_{e} = mass$

$r_{e}= radius$

➡️Earth attracts every body towards its centre.

Force due to gravity,

F = W = mg ------>(1)

According to Newton's universal law of gravitation

F = $\frac{GMm}{R^{2}}$ ---->(2)

From equation (1) and (2)

mg = $\frac{GMm}{R^{2}}$

g = $\frac{GM}{R^{2}}$

This relation is valid for any planet including earth.

$\huge{\green{\boxed{\pink{Hence\:Derived}}}}$

Answered by Itzbrainlystarz

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Answers

Heya!!

Given,

${\Boxed{Derive}}$

$g = \dfrac{GM}{r^{2}}$