You Are the Science Officer on a Visit to a Distant

question 35

Multiple Choice

You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be $1.8 \times 10 ^ { 7 } \mathrm {~m}$ You have previously determined that the planet orbits $2.9$ $\times 10 ^ { 11 }$ m from its star with a period of 402 earth days. Once on the surface you find that the acceleration due to gravity is 19.5 \mathrm{~m} / \mathrm{s}^{2} . What are the masses of (a) the planet and (b) the star? $( G =$ $\left. 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

• A) \(\text { (a) } 2.4 \mathrm{~kg} \times 10^{25} \mathrm{~kg} \text {, (b) } 7.1 \mathrm{~kg} \times 10^{30} \mathrm{~kg}\)
• B) \(\text { (a) } 2.4 \mathrm{~kg} \times 10^{25} \mathrm{~kg} \text {, (b) } 1.2 \mathrm{~kg} \times 10^{31} \mathrm{~kg}\)
• C) \(\text { (a) } 4.3 \mathrm{~kg} \times 10^{25} \mathrm{~kg} \text {, (b) } 1.2 \mathrm{~kg} \times 10^{31} \mathrm{~kg}\)
• D) (a) \( 4.3 \mathrm{~kg} \times 1025 \mathrm{~kg} \)
• (b) \( 7.1 \mathrm{~kg} \times 10^{30} \mathrm{~kg} \)

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Definitions:

Present

Present refers to the current moment or the actual time in which an event occurs or a condition exists.

Future

The time or a period of time following the present moment, often considered as yet to come.

Decisions

The process of making choices or conclusions based on available information or reasoning.

Temporal Discounting

The tendency to value immediate rewards more highly than future rewards.