Acceleration due to gravity from a planet's density and radius

1. A.
   $\frac{4\pi G}{3gR}$
2. B.
   $\frac{3\pi R}{4gG}$
3. C.
   $\frac{3g}{4\pi RG}$
4. D.
   $\frac{\pi RG}{12g}$

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1. A.
   $\frac{R}{9}$
2. B.
   $\frac{R}{3}$
3. C.
   3R
4. D.
   9R

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1. A.
   $4R$
2. B.
   $R/2$
3. C.
   $R/4$
4. D.
   $2R$

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1. A.
   9
2. B.
   3
3. C.
   $\frac{1}{3}$
4. D.
   $\frac{1}{9}$

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1. A.
   $ny:mx$
2. B.
   $my:nx$
3. C.
   $nx:my$
4. D.
   $mx:ny$

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1. A.
   $g = \sqrt{\frac{3\pi R}{\rho G}}$
2. B.
   $g = \sqrt{\frac{4}{3}\pi\rho GR}$
3. C.
   $g=\dfrac{4}{3}\pi\rho GR$
4. D.
   $g=\dfrac{GM}{\rho R^2}$

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1. A.
   $r_{1}:r_{2}$
2. B.
   $\ r_{1}\rho_{1}:r_{2}\rho_{2}$
3. C.
   $\ r_{1}^{2}\rho_{1}:r_{2}^{2}\rho_{2}$
4. D.
   $r_{1}\rho_{2}:r_{2}\rho_{1}$

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1. A.
   $7.5$
2. B.
   $3.5$
3. C.
   $6.5$
4. D.
   $9.5$

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