Physics-the Martian moon  travels in a circular orbit of radius 9.4x10^6 m around Mars with a period of 7.6 hours Calculate the mass of mars?

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  • 1 month ago

    T = 2π√[R³/GM]

    7.6 hr x 3600 s/hr = 2π√[(9.4e6)³/6.673e-11•M]

    √[(9.4e6)³/6.673e-11•M] = 4354.479

    (9.4e6)³/6.673e-11•M = 1.896149e7

    M = (9.4e6)³ / 1.896149e7 • 6.673e-11

      = 6.56e23 kg

    published value: 6.42e23 kg

    Satellite motion, circular

    V = √(GM/R)

    V = √(gR)

    T = 2π√[R³/GM]

      T is period of satellite in sec

      V = velocity in m/s

      G = 6.673e-11 Nm²/kg²

      M is mass of central body in kg

      R is radius of orbit in m

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