The Captain of a Spaceship Orbiting Planet X Discovers That $410 \mathrm {~km}$

question 29

Multiple Choice

The captain of a spaceship orbiting planet X discovers that to remain in orbit at $410 \mathrm {~km}$ from the planet's center,she needs to maintain a speed of $68 \mathrm {~m} / \mathrm { s }$ What is the mass of planet X? (G = 6.67 × 10^-11 N ∙ m²/kg²)

• A)2.8 × 10¹⁹ kg
• B)4.2 × 10¹⁷ kg
• C)2.8 × 10¹⁶ kg
• D)4.2 × 10¹⁴ kg

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Definitions:

ANOVA Table

A tabular representation used to summarize the sources of variance in a data set, facilitating the analysis of variance (ANOVA) to test the differences between group means.

Significance Level

The threshold for determining whether a statistical result is likely due to chance or represents a real effect.

Factorial Experiment

An experimental design in which the effects of two or more variables are measured simultaneously.

Normally Distributed

Refers to a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.