The acceleration due to gravity at the surface of the moon is 1.67m/sec sq. The mass of the earth is about 81 times more massive than the moon. WHAT IS THE RATIO OF THE EARTH TO THAT OF THE MOON.
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g = G M / R²
on Earth: g1 = G M1 / R1²
on Moon : g2 = G M2 /R2²
g1/ g2 = (M1/ M2 ) (R2²/R1²)
9.81 / 1.67 = 81 * (R2/R1)²
R2/R1 = 0.269
R1/R2 = 3.71
on Earth: g1 = G M1 / R1²
on Moon : g2 = G M2 /R2²
g1/ g2 = (M1/ M2 ) (R2²/R1²)
9.81 / 1.67 = 81 * (R2/R1)²
R2/R1 = 0.269
R1/R2 = 3.71
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