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Math Help - Differential problem

  1. #1
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    Differential problem

    Newton's law of gravitation states that the force F of attraction between two particles having masses m and M is given by F = (gmM)/s^2 for a constant g and the distance s between the particles. If s = 20 cm, use differentials to approximate the change in s that will increase F by 10%

    I can get the derivative as dF/dS = -2(gmM)/s^3 but I'm not sure where to go from there.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by bob14423 View Post
    Newton's law of gravitation states that the force F of attraction between two particles having masses m and M is given by F = (gmM)/s^2 for a constant g and the distance s between the particles. If s = 20 cm, use differentials to approximate the change in s that will increase F by 10%

    I can get the derivative as dF/dS = -2(gmM)/s^3 but I'm not sure where to go from there.
    You are looking for \Delta s such that:

    \frac{dF}{ds}\Delta s = 0.1 F

    note: \frac{dF}{ds}=-\frac{2F}{s}

    RonL
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