How Does Ceres' Gravity Affect Copper Wire Elongation?

[unique_pavadrin]

Homework Statement

The asteriod Ceres has a mass of 1.11x10^21 kg and a diamter 772km. Ceres orbits the sun at an average distance of 414 million kilometers.
Estimate the change in length of a 2m length of thin copper wire caused by hanging a 1.5kg mass on the wire on the asteriod Ceres.
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Homework Equations

<br /> \begin{array}{l}<br /> g = \frac{{GM}}{{r^2 }} \\ <br /> a = \frac{{v^2 }}{r} \\ <br /> \end{array}<br />

The Attempt at a Solution

Could somebody please give me some direction on how to approach these situation. Many thanks in return,

unique_pavadrin

 

[Doc Al]

If you hung the mass from the wire on Earth, how much would the wire stretch? (Consider Young's modulus.) What's different on Ceres?

 

[unique_pavadrin]

Young's modulus...never heard of it, thanks ill look into it