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Two points masses m each are kept at the...

Two points masses `m` each are kept at the two verticle of an equaliateral triangle of side 'a' as shows in figure.

Find gravitational potential and magnitude of field strength at `O`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`V = - (Gm)/(a) - (Gm)/(a) = - (2 Gm)/(a)`

`E = (Gm)/(a^(2))`
`E_(net) = sqrt(E^(2) + E^(2) + 2(E)(E) cos 60^(@)) = sqrt(3) E`
`= sqrt(3 Gm)/(a^(2))`
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Knowledge Check

  • Three particles each of mass m are kept at the vertices of an equilateral triangle of side L . What is the gravitational potential at the centroid of the triangle?

    A
    `-(3GM)/(L)`
    B
    `-(sqrt(3)GM)/(L)`
    C
    `-(3sqrt(3)GM)/(L)`
    D
    `-(GM)/(3sqrt(3)L)`