The distance between earth and moon is `3.8 xx 10^(8)m`. Determine the gravitational potential energy of earth-moon system. Given, mass of the earth `= 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 determine the gravitational potential energy (U) of the Earth-Moon system, we can use the formula for gravitational potential energy between two point masses:

\[ U = -\frac{G \cdot m_1 \cdot m_2}{r} \]

Where:
- \( G \) is the gravitational constant, \( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
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