The mass of Pluto is 1.31 × 10²² kg and its radius is 1.15 × 10⁶ m.What is the acceleration of a freely-falling object at the surface of Pluto if it has no atmosphere? (G = 6.67 × 10^-11 N ∙ m²/kg²) A)0.661 m/s² B)9.81 m/s² C)1.62 m/s² D)3.72 m/s² E)0.140 m/s²

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Quizplus · Accepted Answer

The acceleration due to gravity on the surface of a celestial body is given by 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 Pluto ($M = 1.31 \times 10^{22}$ kg, $r = 1.15 \times 10^{6}$ m, and $G = 6.67 \times 10^{-11}$ N·m²/kg²) into the formula yields an acceleration of approximately $0.661$ m/s².

The Mass of Pluto Is 1