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$F = G\frac{m_1m_2}{r^2}$ with $G = 6.67 \times 10^{-11}\ \text{N m}^2\text{kg}^{-2}$. At a planet's surface $g = \frac{GM}{R^2}$, so halving $R$ at fixed mass makes $g$ four times larger.
Gravity and g
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