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NASA launched the Near Earth Asteroid Rendevous (NEAR), which,after traveling 1.3 billion miles, is meant to orbit the asteroidEros at a height of about 15 km. Eros is potato-shaped: 40 km 6 km 6 km.(Approximate by a cylinder 40 km long.) Assume Eros has a density(mass/volume) of about 2.3 103kg/m3.

(a) What will be the peroid of NEAR as it orbits Eros?

h

(b) Suppose Eros to be a sphere with the same and mass density.What would its radius be?

km

(c) What would g be at the surface of this sphericalEros?

m/s2

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