Question

The value of g at a particular point is 9.8 ms^{-2}. Suppose the earth suddenly shrinks unifromly to half its present size without losing any mass.The value of g at the same point (distance of the point from the centre of earth does not change) will now be

Answer 1

g=GM/R²

M=M

R=R/2

g'=GM/(R/2)²

=4GM/R²

=4g

the value of new g is 4 times the original