Two small metal spheres with mass 3.16 g and 6.32 g are tied together by a 7.10-cm-long massless string and are at rest on a frictionless surface. Each is charged with +9.00 μC. a.What is the energy (in J)? b. What is the tension (in N) in the string? c. The string is cut. What is the final speed (in m/s) of the lighter sphere when the spheres are far apart? HINT: There are two conserved quantities. Make use of both.

2. A charge q = - 2.0 C moves in the opposite direction of a uniform electric field of 100 V/m by a distance of 3.0m. a. The charge is at a point of (a. higher, b. lower, c. same) potential before moving. b. After moving, the potential energy of the charge a. increases. b. decreases. c. does not change. c. What is the change in the potential energy?

5. Two small metal cubes with masses 2.0 g and 4.0 g are tied together by a 5.0 cm long massless string and are at rest on a frictionless surface. Each is charged to +2.0 μC. a. What is the energy of this system? b. What is the tension in the string? c. The string is cut. What is the speed of each cube when they are far apart?

A particle accelerator is used to accelerate particles... (obviously right?). a) Draw a diagram that would represent an electron, starting from rest, and passing between two plates with a potential difference of 5.3 x 10^5 V and the plates separated 12cm apart. (Include SIGNS on plates), accelerating. b) How fast would the electron be traveling once it gets to the plate? c) What would be the magnitude of the electric field strength? d) What would be the acceleration of the electron?