Two particles of equal mass go round a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle is
Two particles of equal mass go round a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle is
$v = \frac{1}{{2R}}\sqrt {\frac{1}{{Gm}}} $
$v = \sqrt {\frac{{Gm}}{{2R}}} $
$v = \frac{1}{2}\sqrt {\frac{{Gm}}{R}} $
$v = \sqrt {\frac{{4Gm}}{R}} $
Two particles of equal mass go round a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle is
Centripetal force provided by the gravitational force of attraction between two particles
i.e. $\frac{{m{v^2}}}{R} = \frac{{Gm \times m}}{{{{(2R)}^2}}}$
$ \Rightarrow v = \frac{1}{2}\sqrt {\frac{{Gm}}{R}} $
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