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physics

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4(a) What is the magnitude of the gravitational force of the Earth on a surveillance
satellite of mass 1040 kg that is in a grazing circular orbit 100 km above the
surface of the Earth.
(b) Find the magnitude of the acceleration of a satellite in such a grazing orbit.
(c) Determine the speed of the satellite.
Take the mass and radius of the Earth as 5.98 × 1024 kg and 6.37 × 106 m
respectively.

  • physics - ,

    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))

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