How Does Changing a Planet's Radius Affect Its Mass?

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Homework Help Overview

The discussion revolves around understanding how the radius of a planet affects its mass, particularly when comparing it to Earth's mass and radius. Participants are exploring the implications of changing a planet's radius on its mass while considering density as a factor.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to calculate the mass of a planet with a radius one-fifth that of Earth, initially using a direct proportionality approach. Some question the assumptions regarding density and volume ratios, suggesting a need to consider how volume changes with radius.

Discussion Status

The discussion is ongoing, with participants providing insights into the relationship between volume and mass. There is a suggestion to think about the volume ratio and its effect on mass, indicating a productive direction for further exploration.

Contextual Notes

Participants are working under the assumption that the planet has the same density as Earth, and there is a focus on the mathematical relationships involved in calculating mass from volume.

unseenoi
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Homework Statement



I know this is a dumb question but if the radius of a planet is one-fifth of the Earth's radius. what is the mass of the planet.

Earth mass => 5.97 *1024
earth radius => 6.38 *106

The Attempt at a Solution



my answer: 5.97 *1024(1/10)
 
Last edited:
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unseenoi said:

Homework Statement



I know this is a dumb question but if the radius of a planet is one-fifth of the Earth . what is the mass of the planet.

Earth mass => 5.97 *1024
earth radius => 6.38 *106

The Attempt at a Solution



my answer: 5.97 *1024(1/10)

And incorrect.

If the radius is 1/5 and it has the same density as earth, then what would the mass be?

Think about the ratio of the volume between the 2 and then multiply that appropriately by Earth mass.
 
Can u please give me more details.
 
density = mass/volume --> [itex]\rho=m/v[/itex]

What is the formula for determining the volume of a sphere? Given the Earth's radius, what is its volume?
 

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