Answer to Question #155375 in Physics for Andu

Question #155375

Calculate the first cosmic velocity for a satellite launched from the Moon, near the surface several hundred km. Compare this value with that of the Earth, which as you know is about 8 km / s. The radius of the Moon is R = 1740 km, while the acceleration of the free fall near the surface of the Moon is g = 1.6 m / s²


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Expert's answer
2021-01-24T16:33:24-0500

The first cosmic velocity for a satellite launched from the Moon, near its surface, is


v1=2gr=21.61740000=2360 m/s,v_1=\sqrt{2gr}=\sqrt{2\cdot1.6\cdot1740000}=2360\text{ m/s},

or around 2.4 km/s. This value is smaller than the first cosmic velocity for our planet because the mass of the moon is smaller.


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