If diameter of earth becomes half of its present value and its mass becomes four times its present value, how would the weight of any object on the surface of earth be affected ?

Explanation

`W_(e)=mg_(e)=m(GM_(e))/R_(e)^(2)`
`W'_(e)=mg'_(e)=(mGM'_(e))/R'_(e)^(2)`
`(W'_(e))/(W_(e)) =(M'_(e))/(M_(e)) xx (R_(e)^(2))/(R_(e)^(2))=4xx(1)/((1)/(2))^(2)=16`
`:. W'_(e)=16W_(e)`