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Statement of a problem № 41285

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The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km, is meant to orbit the asteroid Eros at a height of about 15km. Eros is roughly 40km x 6km. Assume Eros has a density (mass/volume) of about 2.3 x 103 kg/m3. (a) What will be the period of NEAR as it orbits Eros? (b) If Eros were a sphere with the same mass and density, what would its radius be? (c) What would g be at the surface of this spherical Eros?




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