Physics

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Calculate a space shuttle territory 250 km above Earth's surface. Earth's mass is 6.0 * 10^24kg and its radius is 6.38 * 10^6 m (6380km)

  • Physics -

    r = 6380+250 = 6630 km = 6.63 * 10^6 m

    g there = 9.81 (6.38/6.63)^2 = 9.08 m/s^2

    if constant altitude g = centripetal a

    v^2/r = 9.08 = v^2/(6.63*10^6)
    so
    v = 7.76*10^3 m/s
    for orbit time
    2 pi r = v t = 7.76*10^3 t

    t = 5368 seconds
    /3600 = 1.5 hours

  • Physics -

    By the way if you google "low altitude earth orbit" I think you will find lots on this.

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