To Measure the Mass of a Planet with the Same

To measure the mass of a planet with the same radius as Earth, an astronaut drops an object from rest (relative to the planet) from an altitude of one radius above the surface. When the object hits its speed is 4 times what it would be if the same experiment were carried out for Earth. In units of Earth masses, the mass of the planet is:

A) 2
B) 4
C) 8
D) 16
E) 32

Correct Answer:

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