An undiscovered planet, many light years from earth, has one moon in a periodic

Question

An undiscovered planet, many light years from earth, has one moon in a periodic orbit. The moon takes 1810 x 10^3 seconds on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 215.0 x 10^6 m and the planet has a radius of 3.70 x 10^6 m, calculate the moons radial acceleration.
Answer a = ______ m/s^2 An undiscovered planet, many light years from earth, has one moon in a periodic orbit. The moon takes 1810 x 10^3 seconds on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 215.0 x 10^6 m and the planet has a radius of 3.70 x 10^6 m, calculate the moons radial acceleration.
Answer a = ______ m/s^2
Answer a = ______ m/s^2

Explanation / Answer

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apply V = 2piR/T

V = 2*3.14* (3.7+215)e6/(1810000)

V = 7.588 *10^-4 m/s

so centripertla accleration a = V^2/r

a = 7.588^2 * 10^-8/((215+3.7) e6

a = 2.632*10^-15 m/s^2
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