Mithra Is an Unknown Planet That Has Two Moons $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

question 11

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 magnitude of the maximum gravitational force that Moon A exerts on Moon B? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

• A) \(1.6 \times 10 ^ { 13 } \mathrm {~N}\)
• B) \(4.4 \times 10 ^ { 13 } \mathrm {~N}\)
• C) \(2.0 \times 10 ^ { 14 } \mathrm {~N}\)
• D) \(1.0 \times 10 ^ { 14 } \mathrm {~N}\)
• E) \(4.0 \times 10 ^ { 14 } \mathrm {~N}\)

---

Definitions:

1831

A year that can be noted for specific historical events, but without additional context, does not denote a universally recognized key term.

Lose Weight

The process of reducing body mass through dietary changes, exercise, or surgical procedures.

Surveys

Research methods that involve collecting data from a pre-defined group of respondents to gain information and insights on various topics.

Adults

Individuals who have reached the age at which they are considered legally responsible for their actions, typically 18 years or older.