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Satellite experiencing certain gravitational force - problem

  1. Mar 24, 2015 #1
    1. The problem statement, all variables and given/known data
    A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around Earth.

    A) Find the radius of the orbit

    B) Find the speed of the satellite

    C) Find the period of the orbit

    I found this set of questions a bit trickier, although am still confident that I've used each equation properly.

    Any suggestions are more than welcome!

    2. Relevant equations
    Fg - G m1 m2 / r2

    3. The attempt at a solution
    A)

    r = √ G m1 m2 / r2
    r = √ (6.67 x 10-11) (5.98 x 1024 (500) / 3000 = 8.15 x 106
    r = 8150 km

    B)

    Fc 3000 N = m v2 / r
    3000 N = (500) V2 (8.14 x 106) / 8.15 x 106
    v = √ (6.67 x 10-11) (5.98 x 1024) / 8.15 x 106
    v = 6995 m/s

    C)

    v = 2πr/v
    T = 2 π (8.15 x 106) / 6995
    T = 7320 s (2 hours 2 minutes)
     
  2. jcsd
  3. Mar 24, 2015 #2

    ehild

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    Homework Helper
    Gold Member

    It is correct, do you have any questions?
     
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