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physics

mechanics

Easy

Question

Mass remaining constant, the radius of the Earth shrinks by 1%. The acceleration due to gravity on the earth's surface would

increase by 2 %
decrease by 1%
decrease by $\frac{1}{2} %$
increase by 1 %

The correct answer is: increase by 2 %

$table attributes columnalign left end attributes row cell g equals fraction numerator G M over denominator R squared end fraction end cell row cell fraction numerator capital delta g over denominator g end fraction cross times 100 equals 2 fraction numerator capital delta R over denominator R end fraction cross times 100 equals 2 cross times 1 percent sign equals 2 percent sign end cell end table$

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