You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be

1.8 \times 10 ^ { 7 } \mathrm {~m}

You have previously determined that the planet orbits

2.9

\times 10 ^ { 11 }

m from its star with a period of 402 earth days. Once on the surface you find that the acceleration due to gravity is 19.5 \mathrm{~m} / \mathrm{s}^{2} . What are the masses of (a) the planet and (b) the star?

( G =

\left. 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)

\text { (a) } 2.4 \mathrm{~kg} \times 10^{25} \mathrm{~kg} \text {, (b) } 7.1 \mathrm{~kg} \times 10^{30} \mathrm{~kg}

\text { (a) } 2.4 \mathrm{~kg} \times 10^{25} \mathrm{~kg} \text {, (b) } 1.2 \mathrm{~kg} \times 10^{31} \mathrm{~kg}

\text { (a) } 4.3 \mathrm{~kg} \times 10^{25} \mathrm{~kg} \text {, (b) } 1.2 \mathrm{~kg} \times 10^{31} \mathrm{~kg}

D) (a)

4.3 \mathrm{~kg} \times 1025 \mathrm{~kg}

(b)

7.1 \mathrm{~kg} \times 10^{30} \mathrm{~kg}

Two Planets Have the Same Surface Gravity, but Planet B m/2\mathrm { m } / \sqrt { 2 }m/2​

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Two Planets Have the Same Surface Gravity, but Planet B $\mathrm { m } / \sqrt { 2 }$

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