Question

consider a heavenly body which has a mass twice that of the earth and radius thrice that of the earth what will be the weight of an object on this heavily body if its weight on the earth is 450 N

Answer 1

Dear student, For earth, Mass of earth = M Radius of earth = R Mass of the body = m Weight on earth is, We = GMm/R2 = 450N For the heavenly body, Mass = 2M Radius = 3R So, weight is, Wp = G(2M)(m)/(3R)2 => Wp = (2/9)(GMm/R2) => Wp = (2/9)(450) => Wp = 100 N This is the weight of the object on the heavenly body. Thanks and regards.