What Is the Escape Speed from the Sun to Mercury at 25 Million Kilometers?

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Homework Help Overview

The discussion revolves around calculating the escape speed from the Sun, specifically considering a distance of 25 million kilometers from the Sun. The subject area involves gravitational physics and the concept of escape velocity.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the gravitational force equation to determine escape speed, questioning if the speed can be reduced as distance increases. Some participants seek clarification on the definition of escape speed in this context.

Discussion Status

The discussion is ongoing, with some participants confirming the validity of the original poster's equation. There is an exploration of definitions and interpretations regarding escape speed.

Contextual Notes

There is a noted ambiguity in the original poster's phrasing regarding the destination of the escape speed, as well as the specific context of the calculation.

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Homework Statement



I need to what the escape speed from the sun to mercury would be if the spaceship is 25 mil km away from the sun.

Homework Equations





The Attempt at a Solution


Basically, all need to know is if I can do this:
Gm1m2/radius of sun+ 25 mil km away from sun=1/2 mv^2.

Also, as you get farther away you can decrease your speed. Correct?
 
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What is "escape speed from the Sun to Mercury"? The escape speed is usually defined from some location near a gravitating body to infinity, not to another body.
 
Oh sorry, I meant just from the sun.
 
Then your equation is correct.
 

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