Mithra Is an Unknown Planet That Has Two Moons,A and |

question 70

Multiple Choice

$$\begin{array} { | l | c | c | c | c | } \hline & \text { Mass } & \text { Radius } & \text { Orbital radius } & \text { Orbital period } \\\hline \text { Moon A } & 4.0 \times 10 ^ { 20 } \mathrm {~kg} & \text { unknown } & 2.0 \times 10 ^ { 8 } \mathrm {~m} & 4.0 \times 10 ^ { 6 } \mathrm {~s} \\\hline \text { Moon B } & 1.5 \times 10 ^ { 2 } 0 \mathrm {~kg} & 2.0 \times 10 ^ { 5 } \mathrm {~m} & 3.0 \times 10 ^ { 8 } \mathrm {~m} & \text { unknown } \\\hline\end{array}$$ 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 × 10^-11 N ∙ m²/kg²)

• A)1 × 10²² kg
• B)3 × 10²² kg
• C)1 × 10²³ kg
• D)3 × 10²³ kg
• E)1 × 10²⁴ kg

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Definitions:

Regression Line

A line of best fit through a dataset in regression analysis, representing the relationship between independent and dependent variables.

Coefficient of Correlation

A statistical measure that calculates the degree to which two variables move in relation to each other.

Best-fit Linear Equation

A mathematical formula that describes a straight line which closely approximates the relationship between two variables in a set of data.

Coefficient of Correlation

A measure that indicates the degree to which two variables are linearly related.