Mithra Is an Unknown Planet That Has Two Airless Moons

question 39

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 airless moons, A and B , in circular orbits around it. The table summarizes the hypothetical data about these moons. If you dropped a laser at the surface of Moon B, at what rate would it accelerate toward the ground? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

• A) \(0.25 \mathrm {~m} / \mathrm { s } ^ { 2 }\)
• B) \(0.10 \mathrm {~m} / \mathrm { s } ^ { 2 }\)
• C) \(0.30 \mathrm {~m} / \mathrm { s } ^ { 2 }\)
• D) \(0.15 \mathrm {~m} / \mathrm { s } ^ { 2 }\)
• E) \(0.20 \mathrm {~m} / \mathrm { s } ^ { 2 }\)

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Definitions:

Ordering Cost

Expenses associated with placing an order for additional inventory, including administrative and clerical costs.

Drought Conditions

an extended period of deficient rainfall resulting in water shortages that can affect agricultural production, water supply, and overall ecological systems.

Economic Order Quantity

A calculated order size that minimizes the total cost of holding and ordering inventory.

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