Anonymous
Anonymous asked in Science & MathematicsPhysics · 7 months ago

Identical satellites X and Y of mass m are in circular orbits around a planet of mass M. The radius of the planet is R.?

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  • NCS
    Lv 7
    7 months ago
    Favorite Answer

    It can be shown that for any object in orbit, its GPE is equal to the negative of twice the KE. The answer is A.

    For the proof, start with

    gravitational force = centripetal force

    GmM / R² = mv² / R

    and since KE = ½mv²

    GmM / R² = 2*KE / R

    GmM / R = 2*KE

    and you should recognize the LHS as being equal to -GPE.

    If you find this helpful, please award Best Answer!

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