Please solve these question in details.

1. Two identical small spheres of mass 2.09 are fastened to the ends of an insulating thread of length 0.60m. The spheres are suspended by a hook in the ceiling from th'e centre of the thread. The spheres are given identical electric charges and hang in static equilibrium. with an angle of 30.0\" between the string haives. Calculate the magnitude of the charge on each sphere. 2. Two Identicaily charged small spheres. of negligible mass. are-separated by a center-tc-center distance of 2.0 m. The ame between them ls36 N. Calculate the charge on each sphere. 3. Neutral metal sphere A. of mass 0.10 kg. hangs from an Insulating wire 2.0 m long. An identical metal sphere B. with charge - q. is brought into contact with sphere A. The spheres repel and settle as shown In Figure 11. Calculate the initial charge on BA 4. Three objects with charges +5.0 uC. \"6.0 uC. and +7.0 US are placed in a line. as In Figure 12. Determine the magnitude and direction of the net electric force on each charge. 5. Four objects. each with a positive charge of 1.0 X 10"\" C are placed at the corners ofa 45 rhombus with sides of length 1.0 m. as In Figure 13. Calculate the magnitude of the net force on each charge. 6. Two small spheres. with charges 1.6 X 10'5 C. and 6.4 X 10" C. are"2.0 m apart. The charges have the same. sign. Where. relative to these two spheres. should a third sphere. of opposite charge 3.0 x 10" C. be pieced If the third sphere is to experience no net electrical force? Do we really need to know the charge or sign of the third object? 7. Two spheres are attached to two Identical springs and separated by 8.0 cm. as in Figure 14. When a charge of 2.5 x 10* C Is placed on each sphere. the distance between the spheres doubles. Calculate the torso constant k of the springs