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Classical Mechanics

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Moderate

Rocket to Space

CLMECH-LUOJVA

A rocket is launched from the surface of a planet by giving it an initial velocity of 15,000 m/s. When it is very far away from the planet, its speed is only 2300 m/s. What was the mass of the planet, if its radius is 6500 km?

A

$7.1 \times 10^{17} kg$

B

$1.1\times 10^{22} kg$

C

$1.1\times 10^{25} kg$

D

The problem cannot be solved without knowing the mass of the rocket.