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You have been visiting a distant planet. Your measurements have determined that the planet's mass is...

You have been visiting a distant planet. Your measurements have
determined that the planet's mass is twice that of the earth but the
free fall acceleration at the surface of the planet is only one fourth
of that at the surface of the earth.
a) What is the planet's radius
b) To get back to earth you need to escape the planet. What minimum
speed does your rocket need?

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