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If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would |
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Answer» Solution :`g=(Gm)/(R^2)` if R decreases by 1% it BECOMES `(99)/(100)R` `g'= (GM)/((99R)^2)=1.02(Gm)/(R^2)= (1+0.02)(Gm)/(R^2)` g' increases by `0.02 (Gm)/(R^2)`, therefore increases by 2%. |
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