consider a hypothetical planet with a mass equal to half that of earth and redius is 1/3 that of earth. If g is the acceleration due to gravity on earth the acceleration due to gravity on the planet will be.
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on earth...
g(e)=GM/R²
on that hypothetical planet...
g(p)=[G(m/2)]/(R/3)²
=>g(p)=(Gm/R²)×(9/2)
=>g(p)=g(e)×(9/2)
=> g(p)=4.5g(e)
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