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Elliptical Orbit (Speed; Distance)

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Mercury moves in a fairly elliptical orbit around the sun. Mercury's speed is 38.8 km/s when it is at its most distant point, 6.99*10^9 m from the sun.

(A) How far is Mercury from the sun at its closest point, where its speed is 59.0 km/s? Your answer should be in meters.

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The solution calculates the distance of Mercury to the sun.

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Mercury moves in a fairly elliptical orbit around the sun. Mercury's speed is 38.8 km/s when it ...

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