Simplest

Classical Mechanics Level pending

The escape velocity for a planet is v e v_{e} . A particle start from rest at a large distance from the planet, reaches planet only under gravitational attraction, and passes through a smooth tunnel through its center. Its speed at the center of the planet will be

1.5 v e \sqrt{1.5} v_{e} v e v_{e} 0 2 v e 2 v_{e} 1.5 v e 1.5 v_{e}

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