Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.0919 N when their center-to-center separation is 52.3 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0412 N. Of the initial charges on the spheres, with a positive net charge, what was
(a) the negative charge in coulombs on one of them and
(b) the positive charge in coulombs on the other?