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:

Payoffs

The outcomes or returns from an action or investment, often used in the context of games and financial investments.

Dominant Strategy

A strategy in game theory that always results in the best payoff for a player, regardless of what the opposing players do.

Sponsor

An individual or organization that provides support, usually financial, for an event, activity, person, or organization.

Marathon

A long-distance running race with an official distance of 42.195 kilometers or about 26.2 miles.