Escape Velocity Calculation for a Spaceship in Space

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Homework Help Overview

The discussion revolves around calculating the escape speed of a spaceship launched in space, specifically at a distance from the sun equivalent to that of Earth. Participants are exploring the relevant parameters needed for the calculation, particularly the mass and radius involved in the escape velocity formula.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to identify the appropriate values for mass (M) and radius (r) in the escape velocity equation. There is a discussion about whether to use the mass of the sun and how to define the radius based on the distance from the sun to Earth.

Discussion Status

Some participants have provided guidance on the distance from the sun to Earth, suggesting that this distance can be used as the radius in the calculation. There appears to be a collaborative effort to clarify the parameters needed for the problem, although no consensus on the final approach has been reached.

Contextual Notes

Participants are working with the assumption that the spaceship is at the same distance from the sun as Earth, which is approximately 150,000,000 km. There is some uncertainty regarding the definitions of mass and radius in the context of the problem.

athymy
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Homework Statement



What is the escape speed of a spaceship fired in space, far away from Earth but at the same distance from the sun as the Earth.

Homework Equations



Ve = (2GM/r)^0.5

The Attempt at a Solution



The problem is that I don't know what the M or r is since it is fired from space... Should I just assume that the mass is the suns and for r I just add the suns radius with the distance from the Earth to the sun?
 
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athymy said:

Homework Statement



What is the escape speed of a spaceship fired in space, far away from Earth but at the same distance from the sun as the Earth.

Homework Equations



Ve = (2GM/r)^0.5

The Attempt at a Solution



The problem is that I don't know what the M or r is since it is fired from space... Should I just assume that the mass is the sun's and for r I just add the suns radius with the distance from the Earth to the sun?
How far is Earth from the Sun ?

That's how far the spaceship is from the Sun .
 
SammyS said:
How far is Earth from the Sun ?

That's how far the spaceship is from the Sun .

Ahh, so Earth is approx. 150,000,000 km from the sun so is that my r value?
 
athymy said:
Ahh, so Earth is approx. 150,000,000 km from the sun so is that my r value?

Yes. Sure it is.
 
Dick said:
Yes. Sure it is.

Thanks for your help! :D
 

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