The escape speed from a distant planet is 45 km/s. If the acceleration of gravity on...
The escape speed from a distant planet is 45 km/s. If the acceleration of gravity on the planet surface is 14.0 m/s2, what is the radius of the planet?
Homework Answers
given
ve = 45 km/s = 45*10^3 m/s
g = 14 m/s^2
let R is the radius of the planet.
we know escape speed on a planet,
ve = sqrt(2*g*R)
ve^2 = 2*g*R
==> R = Ve^2/(2*g)
= (45*10^3)^2/(2*14)
= 7.23*10^7 m
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