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Math Help - Equilibrium physics help!

  1. #1
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    Equilibrium physics help!

    The Cassini probe, mass 5,712 kg, is in a circular orbit with a radius of 1.2108 m around the planet Saturn. How much work must its engine do to change it to a circular orbit with a radius of 1.1109 m?
    [Mass of Saturn = 5.681026 kg]

    [Specify units of 'J', 'kJ' or 'MJ' in your answer.]
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  2. #2
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    Quote Originally Posted by jddery View Post
    The Cassini probe, mass 5,712 kg, is in a circular orbit with a radius of 1.2108 m around the planet Saturn. How much work must its engine do to change it to a circular orbit with a radius of 1.1109 m?
    [Mass of Saturn = 5.681026 kg]

    [Specify units of 'J', 'kJ' or 'MJ' in your answer.]
    HI

    According to the energy principles ,

    Word done = the change in total energy of the satellite , U

    \triangle U=U_f-U_i

    =-\frac{GMm}{2r'}-(-\frac{GMm}{2r})

    =\frac{GMm}{2}[\frac{1}{r}-\frac{1}{r'}]

     <br />
=\frac{6.67\times 10^{-11}\times 5.68\times 1026\times 5712}{2}[\frac{1}{1.2\times 108}-\frac{1}{1.1\times 109}]<br />

     <br />
=-9.26\times 10^{-6}J<br />
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  3. #3
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    how are you getting G?

    how are you getting G
    for your equation

    (GMm)/2* (1/r-1/r2)
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  4. #4
    MHF Contributor
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    Quote Originally Posted by jddery View Post
    how are you getting G
    for your equation

    (GMm)/2* (1/r-1/r2)
    G is the gravitational constant . Its not given in the question but it should be in your notes .
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