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Suppose the gravitational potential due to a small system is k/r² at a distance r from it. What will be the gravitational field? Can you think of any such system? What happens if there were negative masses? |
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Answer» The gravitational potential V = k/r². Hence gravitational field E = - dV/dr = -(-2k/r³) = 2k/r³ A hypothetical gravitational dipole system can be assumed like this, as in the case of an electric dipole in which the electric field is inversely proportional to the cube of the distance. It is hypothetical because in the case of gravitation negative masses do not occur. If there were negative masses the direction of the field would be reversed. |
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