what would be the value of g on the surface of the earth if its mass was twice as large and its radius half of what it is now?
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see the attached image, that may help you.
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Explanation:
g=(GMe)÷Radius of earth^2
New g
(G2Me)÷[{(Re)÷2}]^2
g=8[(GMe)÷(Radius of earth)^2]
new g=8× old g
So the new g is 8 times of the old value of g. Therefore the value of new g is 9.8×8=78.4m/s^2
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