Question

what will be acc.due to gravity on the surface of moon if its radius is 1/4 to the radius of earth and mass is 1/80 to that of earth?​

Answer 1

Explanation:

Acc due to gravity on earth g is given by formula g earth = GM/R^2 where G is universal gravitational constant M mass of earth R radius of earth for moon mass m = mass of earth/80= M/80 radius is r = radius of earth /4 = R/4 g of moon = Gm/r^2 put small m = M/80 and r= R/4 we get (R/4)^2 =R^2/16 g moon =16GM/80R^2 as we know GM/R^2 = g of earth so g moon = g of earth/5 ( g of earth is 9.8m/s^2 or u can say 10) so g moon = 10/5 g moon =2 ( which means 5 times less than that of g of earth )