The mysterious visitor that appears in the enchanting story, Physics

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The mysterious visitor that appears in the enchanting story

The mysterious visitor that appears in the enchanting story The Little Prince was said to come from a planet that "was scarcely any larger than a house!" Suppose that the mass per unit volume of the planet is about that of Earth and that the planet does not appreciably spin. Take the diameter of the planet to be 11 meter.

(a) Find the free-fall acceleration on the planet's surface?

(b) Determine the escape speed from the planet.

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