Problem

Mercury follows an elliptical orbit that takes it as close as 46 million km to the Sun a...

Mercury follows an elliptical orbit that takes it as close as 46 million km to the Sun and as far as 70 million km from the Sun. At both of these locations, Mercury’s velocity makes a right angle to the direction to the Sun. If Mercury’s speed is 38 km/s when it is farthest from the Sun, how fast is it moving when it is closest to the Sun?

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