question_answer 36)

  The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become (a) F/4                                   (b) F/2                                  (c) F                                       (d) 2F

Answer:

  (a) We know that, according to force of gravitation  (G= Gravitational constant) where  and are the masses of two objects respectively. And r is the distance between the two masses Now, according to the question, if masses of both objects are halved, i.e.,                         and New force                                    where So, new force            Thus, the new gravitational force will become  times of its original gravitational force.