physics for physical science

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(a)what is the magnitude of the gravitational force of the earth on a surveillance satellite of mass 1040kg that is in a grazing circular orbit 100 km above the surface of the earth.

(b)find the magnitude of the acceleration of the satellite in such a grazing orbit.

(c)determine the speed of the satellite.
take the mass and radius of the earth as 5980000000000000000000000 kg and 6370000m respectively

  • physics for physical science -

    The gravitational constant
    G =6.67•10⁻¹¹ N•m²/kg²,
    h=100000 m
    m=1040 kg
    Earth’s mass is M = 5.98•10²⁴kg,
    Earth’s radius is R = 6.37 •10⁶ m.

    (a) F =G•m •M/(R+h)²
    (b) a= G• M/(R+h)²
    (c) mv²/(R+h) = G•m •M/(R+h)²
    v=sqrt (G•M/(R+h))

  • physics for physical science -

    2.232667747500

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