(a) Determine the amount of work (in joules) that must be done on a 104 kg payload to elevate it to a height of 993 km above the Earth's surface.
______ MJ

(b) Determine the amount of additional work that is required to put the payload into circular orbit at this elevation.


I have absolutley no idea how to find this problem, and it is also not in our book. If anybody has any idea, can you please help!!!


It is in your book, the concept is energy. Potential energy is mgh. That answers a.

In b, you have to add the Kinetic energy

at orbit, centripetal force equals gravitational force.

mv^2/R= GMe*m/distance^2
1/2 mv^2= 1/2 GMe*m/distance^2
where distance is radiusEarth+ heightgiven.

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  1. Potential Energy = -GMemobject[(1/rb)-(1/ra)]

    a) = -GMm[(1/2Re)-(1/Re)]

    b) -GMm[(1/(Re+999000)-(1/Re)] =
    X joules
    X joules/1000000 = X Milijoules

    c) I have no idea.... I think it should be (Orbital energy - X joules) but this is giving me the wrong answer for some reason...
    Orbital Energy = -GMm/(2(Re+999000))
    I get a wrong answer even if I switch signs...

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