Physics, 18.06.2021 17:20 m8v3ngang3

As a moon follows its orbit around a planet, the maximum gravitational force exerted on the moon by the planet exceeds the minimum gravitational force by 12.7%. Find the ratio rmax/rmin, where rmax is the moon's maximum distance from the center of the planet and rmin is the minimum distance.

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Answer from: wallsdeandre25521

rmax/rmin = √1.127

Explanation:

F = GmM / r²

As the masses can be assumed to be constant, the force between the two is proportional to the inverse of the square of the distance between them

(Fmax - Fmin) / Fmin = 0.127

(Fmax - Fmin) = 0.127Fmin

1/rmin² - 1/rmax² = 0.127(1/rmax²)

1/rmin² = 0.127(1/rmax²) + 1/rmax²

1/rmin² = 1.127(1/rmax²)

rmax²/rmin² = 1.127

rmax/rmin = √1.127 ≈ 1.06160256...

Answer from: Quest

potential energy is directly proportional to height.

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has to be c-e or d-e .

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As a moon follows its orbit around a planet, the maximum gravitational force exerted on the moon by...

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