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4 November, 19:39

Consider formula A to be v = StartFraction 2 pi r over T EndFraction and formula B to be v2 = GStartFraction 2 pi r over T EndFraction. Write the letter of the appropriate formula to use in each scenario.

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  1. 4 November, 20:16
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    Distance from earth to the moon=B

    An orbit km about earths surface=A
  2. 4 November, 22:52
    0
    The formulas that will be used are:

    Situation one:

    The moon will be experiencing gravitational force in the form of centripetal force, so we equate the two formulas.

    Gravitational force = GMm / r²

    Centripetal force = mv²/r

    Equating,

    GMm/r² = mv²/r

    v² = GM/r

    The first scenario will use the formula v² = GM/r

    Situation 2:

    The second situation will use the simple distance over time formula for velocity, where the distance will be the circumference and the time will be in seconds.

    v = 2rπ/t
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