In Another Solar System, a Planet Has a Moon That $4.0 \times 10 ^ { 5 } \mathrm {~m}$

question 41

Multiple Choice

In another solar system, a planet has a moon that is $4.0 \times 10 ^ { 5 } \mathrm {~m}$ in diameter. Measurements reveal that this moon takes $3.0 \times 10 ^ { 5 }$ s to make each orbit of diameter $1.8 \times 10 ^ { 8 } \mathrm {~m}$ What is the mass of the planet? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

• A) \(2.4 \times 10 ^ { 24 } \mathrm {~kg}\)
• B) \(3.4 \times 10 ^ { 24 } \mathrm {~kg}\)
• C) \(4.8 \times 10 ^ { 24 } \mathrm {~kg}\)
• D) \(1.2 \times 10 ^ { 24 } \mathrm {~kg}\)
• E) \(1.7 \times 10 ^ { 24 } \mathrm {~kg}\)

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