question_answer

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

Answer:

                  Suppose A and B be two bodies. Then, the mass of body A be  and the mass of body B be . From universal law of gravitation, the force of attraction between the earth and the body A 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 B is given by But                                         (Given)                            (1) Thus the mass of two bodies. A and B are same.