The distance between the moon and earth is `3.8 xx 10^(8)m`. Find the gravitional potential at the mid point of the joining them. Given that the mass of the earth is `6 xx 10^(24) kg`, mass of moon `= 7.4 xx 10^(22) kg` and `G = 6.67 xx 10^(11) Nm^(2)kg^(-2)`.

Explanation

To find the gravitational potential at the midpoint between the Earth and the Moon, we can follow these steps:

### Step 1: Determine the midpoint distance
The distance between the Earth and the Moon is given as \( d = 3.8 \times 10^8 \, \text{m} \). The midpoint distance from either the Earth or the Moon is:

\[ r = \frac{d}{2} = \frac{3.8 \times 10^8}{2} = 1.9 \times 10^8 \, \text{m} \]
...