question_answer

  Prove that if the earth attracts two bodies placed at same distance from the centre of the earth with the same force, then their masses are equal.

Answer:

                  Let P and Q be the two bodies, the mass of body P = And the mass of body Q = As per the universal law of gravitation, the force of attraction between the earth and the body P is given by,                                 ?? (1) Where, R is the distance of the body from the centre of the earth. Similarly, the force of attraction between the earth and the body Q is given by                                  ?. (2) Since, the two forces, i.e.,  and  are equal, thus from (1) and (2),                Þ