Mithra Is an Unknown Planet That Has Two Moons $( G = 6.67 \times$

question 1

Multiple Choice

$\begin{array} { | c | c | c | c | c | } \hline & \text { Mass } & \text { Radius } & \text { Orbital radius } & \text { Orbital period } \\\hline \text { Moon A } & 4.0 \times 10 ^ { 20 } \mathrm {~kg} & \text { unknown } & 2.0 \times 10 ^ { 8 } \mathrm {~m} & 4.0 \times 10 ^ { 6 } \mathrm {~s} \\\hline \text { Moon B } & 1.5 \times 10 ^ { 20 } \mathrm {~kg} & 2.0 \times 10 ^ { 5 } \mathrm {~m} & 3.0 \times 10 ^ { 8 } \mathrm {~m} & \text { unknown } \\\hline\end{array}$
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 mass of Mithra? $( G = 6.67 \times$ $\left. 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

• A) \(1 \times 10 ^ { 23 } \mathrm {~kg}\)
• B) \(1 \times 10 ^ { 22 } \mathrm {~kg}\)
• C) \(1 \times 10 ^ { 24 } \mathrm {~kg}\)
• D) \(3 \times 10 ^ { 22 } \mathrm {~kg}\)
• E) \(3 \times 10 ^ { 23 } \mathrm {~kg}\)

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Definitions:

Monopsonist

A market condition where there is only one buyer for a product or service, giving the buyer significant power over prices.

Competitive Buyer

A buyer in a market where numerous purchasers compete to acquire goods or services, often leading to more favorable prices.

Industry Supply Curve

A graphical representation that shows the relationship between the price of a good and the total output all firms in the industry are willing to produce.

Marginal Value

Additional benefit derived from purchasing one more unit of a good.