Determine the mass of the Moon if its radius is 1760 km, and the acceleration of gravity is 1.7 m / s

Task data: Rl (radius of the Moon) = 1760 km (1760 * 10 ^ 3 m); g (acceleration due to gravity) = 1.7 m / s2.

Constants: G (gravitational constant) = 6.67 * 10-11 m3 / (kg * s2)

The mass of the moon can be expressed from the formula for calculating the acceleration of gravity: g = G * Ml / Rl ^ 2, whence Ml = g * Rl ^ 2 / G.

Calculation: ML = 1.7 * (1760 * 10 ^ 3) ^ 2 / (6.67 * 10 ^ -11) = 7.895 * 10 ^ 22 kg.

Answer: According to the calculation, the mass of the moon is 7.895 * 10 ^ 22 kg.