Find the point at which the gravitational force acting on any mass is zero due to the earth and the moon system. The mass of the earth is approximately 81 times the mass of the moon and the distance between the earth and the moon is 3,85,000 km. (Such a point is called neutral point).

Explanation

To find the point at which the gravitational force acting on any mass is zero due to the Earth and Moon system, we can follow these steps:

### Step 1: Understand the Forces
We need to find a point (let's call it point P) where the gravitational forces exerted by the Earth and the Moon on a mass placed at point P are equal in magnitude but opposite in direction.

### Step 2: Define Variables
- Let the mass of the Moon be \( M_m \).
- The mass of the Earth is \( M_e = 81 M_m \) (given).
...