Two bodies of mass m and 9 m are placed at a distance R . The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ( G = gravitational constant):

Step-by-step solution

Let the gravitational field at point Q is zero. Therefore, we can write - G m x 2 + - G × 9 m R - x 2 = 0 ⇒ R - x 2 x 2 = 9 ⇒ x = R 4 Now, net gravitational potential at point Q will be V n e t = - G m x + - G × 9 m R - x = - G m R 4 + - G × 9 m 3 R 4 = - 16 G m R