Weight and g: An object drops a distance h in a time of 6.3 s on the surface of the earth (neglecting air effects). How long would it take the same object to drop the same distance on the surface of spherical asteroid X having a mass of 1.1 × 10²² kg and a radius of 4.0 × 10⁵ m? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg, R_earth = 6.38 × 10⁶ m) A) 9.2 s B) 6.3 s C) 5.2 s D) 12 s E) 3.3 s

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Quizplus · Accepted Answer

The gravitational acceleration on asteroid X can be calculated using g = GM/R². Comparing this with Earth's gravity, the time taken to fall the same distance is proportional to the inverse square root of the gravitational acceleration. Calculating this gives approximately 9.2 s.

Weight and G: an Object Drops a Distance H in a Time