If the satellite weighs 1000g, orbits the Earth at an energy of 9.8 × 10 ^ 9j, what is the speed of the satellite?

Question

If the satellite weighs 1000g, orbits the Earth at an energy of 9.8 × 10 ^ 9j, what is the speed of the satellite?

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Calantha 4 years 2021-07-20T06:36:07+00:00 1 Answers 12 views 0

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    2021-07-20T06:37:42+00:00

    Answer:

    1.4×10⁵ m/s

    Explanation:

    Applying,

    K = mv²/2…………. Equation 1

    Where K = Energy of the satellite, m = mass of the satellite, v = speed of the satellite.

    make v the subject of the equation

    v = √(2K/m)………… Equation 2

    From the question,

    Given: K = 9.8×10⁹ J, m = 1000 g = 1 kg

    Substitute these values into equation 2

    v = √(2×9.8×10⁹/1)

    v = √(1.96×10¹⁰)

    v = 1.4×10⁵ m/s

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