Question

If the moon has 1.2 percent of the earth's mass and gravity is proportional to mass, then why is the moon's gravity 16.6 percent of earth's gravity?

Answer 1

Answer on Question #80373, Physics / Astronomy | Astrophysics

**Question:**

If the moon has 1.2 percent of the earth's mass and gravity is proportional to mass, then why is the moon's gravity 16.6 percent of earth's gravity?

**Solution:**

Gravity $g = \frac{\gamma M}{R^2}$, therefore $\frac{g_{M}}{g_{E}} = \frac{M_{M} R_{E}^{2}}{M_{E} R_{M}^{2}} = 0.012 \left( \frac{6.37}{1.74} \right)^{2} = 0.161$ or the moon's gravity equals to 16.1 percent of earth's gravity.

**The answer:**

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