What is the escape speed from a planet of mass m and radius r if m = 3.2 × 1023 kg and r = 2.4 × 106 m?
A)5.5 km/s
B)4.2 km/s
C)5.2 km/s
D)4.8 km/s
E)3.7 km/s

Question

Quizplus · Accepted Answer

The escape speed $ v_e $ is calculated using the formula $ v_e = \sqrt{\frac{2GM}{r}} $. Substituting the given values $ G = 6.674 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2 $, $ M = 3.2 \times 10^{23} \, \text{kg} $, and $ r = 2.4 \times 10^6 \, \text{m} $, the escape speed is approximately 4.2 km/s.

What Is the Escape Speed from a Planet of Mass