There are two identical, positively charged conducting spheres fixed in space. The spheres are 41.4 cm apart (center to center) and repel each other with an electrostatic force of F 1 = 0.0645 N . A thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel, but with a force of F 2 = 0.100 N . The Coulomb force constant is k = 1 / ( 4 π ϵ 0 ) = 8.99 × 10 9 N ⋅ m 2 / C 2 . Using this information, find the initial charge on each sphere, q 1 and q 2 , if q 1 is initially less than q 2