The Moon has a mass of 7.36 1022 kg and a radius of 1.74 106 m. (a) What is the acceleration due to gravity on the Moon

1.622m/s²

Explanation:

Given the following

mass of 7.36 × 10²² kg

Radius r = 1.74×10^6m

Gravitational constant G = 6.67×10^-11

Acceleration due to gravity us expressed as:

g = GM/r²

Substitute the given values into the formula

g = 6.67×10^-11×7.36 × 10²²/(1.74×10^6)²

g = 49.0912×10¹¹/3.0276×10¹²

g = 16.22×10^{11-12}

g = 16.22×10^-1

g = 1.622m/s²

Hence the acceleration due to gravity on the Moon is 1.622m/s²

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