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A spherical planet has a mass M(p) and D...

A spherical planet has a mass `M_(p)` and `D_(p)`. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

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` g_(p) = (GM_(p))/(R_(p)^(2))`
Here `M_(p)=M_(0)`
`R_(p) = 1/2 D_(0)`
` :. g_(p) = (GM_(0))/((1/2D_(0))^(2))`
` :. g_(p) = (4GM_(0))/(D_(0)^(2))`
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