The radius of the moon is one quarter of that of the earth and its mean density is four fifths that of the earth .Determine the force of attraction of the moon on a mass of 100kg on the lunar surface.
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Because, while the Moon’s radius is about 1/4 of the Earth’s radius, its mass is only a little over one percent of the Earth’s mass. And surface gravity is determined by both radius and mass.
It’s easy to work this out.
Gravity is inversely proportional to the square of the radius:
(11/4)2=16(11/4)2=16
But gravity is also directly proportional to mass ≈.01≈.01
Multiply 16 by .01 and you’ll get 0.16, which is about 1/6.
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It’s easy to work this out.
Gravity is inversely proportional to the square of the radius:
(11/4)2=16(11/4)2=16
But gravity is also directly proportional to mass ≈.01≈.01
Multiply 16 by .01 and you’ll get 0.16, which is about 1/6.
3k Views ·
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