The mass of the Moon is 7.4 × 10²² kg,its radius is 1.74 × 10³ km,and it has no atmosphere.What is the acceleration due to gravity at the surface of the Moon? (G = 6.67 × 10^-11 N ∙ m²/kg²) A)2.8 × 10⁶ m/s² B)9.8 m/s² C)4.9 m/s² D)1.6 m/s² E)0.80 m/s²

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Quizplus · Accepted Answer

The acceleration due to gravity on the surface of a celestial body can be calculated using the formula $g = \frac{G \cdot M}{r^2}$, where $G$ is the gravitational constant, $M$ is the mass of the body, and $r$ is its radius. Substituting the given values for the Moon ($G = 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2$, $M = 7.4 \times 10^{22} \, \text{kg}$, $r = 1.74 \times 10^6 \, \text{m}$), we find that the acceleration due to gravity on the Moon's surface is approximately $1.6 \, \text{m/s}^2$.

The Mass of the Moon Is 7