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Two particles of equal mass (m) move in a circle of radius (r ) under the action of their mutual gravitational attraction. Find the speed of each particle.

Text Solution

Verified by Experts

The two particles will move on a circuler path if they always remain diametrically opposite as shown in

so that gravitational force on one particle due to the other is directed along the radius. This would provide the necessary centripetal force i.e.,
`F=(mv^(2))/r=(Gmm)/(r+r)^(2) or v=sqrt((Gm)/(4r)`
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