Asked by Nevaeh
the earth 's moon has a gravitational field strength of about 1.6 n/kg near its surface. the moon has a mass of 7.35x10^22 kg. what is the radius of the moon?
Answers
Answered by
oobleck
To answer this, you need to know
M, the mass of the earth
R, the radius of the earth
on moon, g = Gm/r^2 = 1.6
on earth, g = GM/R^2 = 9.81
(m/r^2) / (M/R^2) = 1.6/9.81
m/M * R^2/r^2 = 1.6/9.81
mr^2/MR^2 = 1.6/9.81
r^2 = M/m R^2 * 1.6/9.81
M, the mass of the earth
R, the radius of the earth
on moon, g = Gm/r^2 = 1.6
on earth, g = GM/R^2 = 9.81
(m/r^2) / (M/R^2) = 1.6/9.81
m/M * R^2/r^2 = 1.6/9.81
mr^2/MR^2 = 1.6/9.81
r^2 = M/m R^2 * 1.6/9.81
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