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17 April, 11:51

A satellite is in a circular orbit about the Earth at a distance of one Earth radius above the surface. What is the speed of the satellite? (The radius of the Earth is 6.4 * 106 m, and G = 6.67 * 10-11 N⋅m 2 / kg2.)

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  1. 17 April, 13:05
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    The speed of the satellite is 25.57*10⁻⁵ m/s

    Explanation:

    Satellite: These are bodies which move in orbit around the moon or planets. Some of them are are natural, others are artificial, i. e man-made.

    The speed of a satellite in its orbit is represented by the expression below.

    v = √ (rg) ... Equation 1

    Where v = speed or velocity of the satellite, r = radius of the earth, g = acceleration due to gravity of the earth

    Given: r = 6.67*10⁻¹¹ m

    Constant: g = 9.8 m/s²

    Substituting these values into equation 1,

    v = √ (9.8*6.67*10⁻¹¹)

    v = √ (65.366*10⁻¹¹)

    v = 25.57*10⁻⁵ m/s

    Thus the speed of the satellite is 25.57*10⁻⁵ m/s
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