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The asteroid has a radius of about 9.70 km.

(a) Assuming that the density of the asteroid is the same as that of the earth (5.50 g/cm^3 ), find its total mass.

(b) Find the acceleration due to gravity at its surface.

(c) Suppose an object is to be placed in a circular orbit around the asteroid, with a radius just slightly larger than the asteroid's radius. What is the speed of the object?

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