physics

posted by kavya

what is gravitational field of the earth?

  1. Damon

    Newtonian Gravity, objects of mass M and n:

    F = force of attraction on each

    F = G m M/r^2

    if M is earth mass, call it Me
    and r is earth radius, call it Re
    then
    G Me/Re^2 = 9.81 m/s^2 approximately
    so
    F = 9.81 m
    F/m we call acceleration of gravity on earth, g = about 9.81
    If you go further from earth then you have to do the real thing
    F/m = G Me/r^2
    where G = 6.67 *10^-11
    and Me = 5.97*10^24 kg

    or simply use the value at the surface and correct for bigger radius
    F/m = 9.81 (Re^2/r^2)

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