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A meteorite of mass m= 1 ×104 kg is approaching head-on a planet of mass M= 3 ×1029 kg and radius R= 7 ×104 km. Assume that the meteorite is initially at a very large distance from the planet where it has a speed v0= 2 ×102 km/s. Take G= 6.67 ×10−11.

Determine the speed of the meteorite v (in m/s) just before it hits the surface of the planet. (The planet has no atmosphere, so we can neglect all friction before impact)

v=

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