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 can be calculated using the formula $v = \sqrt{\frac{2GM}{r}}$, where $G = 6.67 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2$, $M = 3.5 \times 10^{16} \, \text{kg}$, and $r = 8.8 \times 10^3 \, \text{m}$. Plugging in these values gives an escape velocity of approximately 23 m/s.

A Certain Spherical Asteroid Has a Mass of 3