In 2010, the Rosetta space probe passed within about 3,000 km from an asteroid known as Lutetia (the Latin name for the city of Paris). The shape of Lutetia can be approximated as spherical, with a diameter of about 100 km and density of 3,600 kg · m?³ . Assume that the mass m of Rosetta at the moment of the closest approach was 800 kg.
What was the magnitude of the force of gravity between Rosetta and Lutetia at the moment of the closest approach? Express your answer in Newtons.