A certain spherical asteroid has a mass of 3.5 × 10¹⁶ kg and a radius of 8.8 km. What is the minimum speed needed to escape from the surface of this asteroid? (G = 6.67 × 10^-11 N ∙ m²/kg²) A) 23 m/s B) 16 m/s C) 520 m/s D) 730 m/s

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Quizplus · Accepted Answer

The escape velocity $ v $ is calculated using the formula $ v = \sqrt{\frac{2GM}{R}} $. Substituting the given values: $ G = 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 $, $ M = 3.5 \times 10^{16} \, \text{kg} $, and $ R = 8.8 \times 10^3 \, \text{m} $, we find $ v \approx 23 \, \text{m/s} $.

A Certain Spherical Asteroid Has a Mass of 3