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In: Physics

NASA has launched a mission to a newly discovered object, spherical in shape. A satellite is...

NASA has launched a mission to a newly discovered object, spherical in shape.

A satellite is given a gravitationally driven circular orbit around the object. The altitude of the satellite in its orbit is equal to the radius of the object, and it takes 19.4 × 103 ??? for the satellite to complete one orbit.

At the same time, a rover lands on the surface of the object. NASA engineers notice one of the support arms on it is broken and is swinging like a pendulum. The arm is 1.50 ? long and the period of its swing is 7.30 ???.

What is the radius (in km) and mass (in kg) of this newly discovered object?

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