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Mithra Is an Unknown Planet That Has Two Moons, a |

Question 11

Multiple Choice

 Mass  Radius  Orbital radius  Orbital period  Moon A 4.0×1020 kg unknown 2.0×108 m4.0×106 s Moon B 1.5×1020 kg2.0×105 m3.0×108 m unknown \begin{array} { | c | c | c | c | c | } \hline & \text { Mass } & \text { Radius } & \text { Orbital radius } & \text { Orbital period } \\\hline \text { Moon A } & 4.0 \times 1020 \mathrm {~kg} & \text { unknown } & 2.0 \times 10 ^ { 8 } \mathrm {~m} & 4.0 \times 10 ^ { 6 } \mathrm {~s} \\\hline \text { Moon B } & 1.5 \times 10 ^ { 20 } \mathrm {~kg} & 2.0 \times 10 ^ { 5 } \mathrm {~m} & 3.0 \times 10 ^ { 8 } \mathrm {~m} & \text { unknown } \\\hline\end{array} Mithra is an unknown planet that has two moons, A and B, in circular orbits around it. The table summarizes the hypothetical data about these moons. What is the magnitude of the maximum gravitational force that Moon A exerts on Moon B? (G = 6.67 × 10-11 N ∙ m2/kg2)


A) 1.6 × 1013 N
B) 4.4 × 1013 N
C) 1.0 × 1014 N
D) 2.0 × 1014 N
E) 4.0 × 1014 N

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