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Classical Mechanics

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Mass, Radius, and Escape Velocities

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A planet has a larger mass and radius than the Earth, such that it has the same surface gravitational acceleration.

Which of the following statements about the escape velocity of the planet is correct?

A

Its escape velocity is less than that of the Earth.

B

Its escape velocity is the same as that of the Earth.

C

Its escape velocity is greater than that of the Earth.

D

Any of the above are possible, depending on how much larger the mass and radius are.