The acceleration due to gravity at the moon's surface is `1.67 ms^(-2)`. If the radius of the moon is `1.74 xx 10^(6) m`, calculate the mass of the moon.

Explanation

To calculate the mass of the moon using the given acceleration due to gravity and the radius of the moon, we can use the formula for gravitational acceleration:

\[ g = \frac{G \cdot M}{r^2} \]

Where:
- \( g \) is the acceleration due to gravity at the surface of the moon,
- \( G \) is the universal gravitational constant, approximately \( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \),
- \( M \) is the mass of the moon,
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