A thin, uniformly charged spherical shell has a potential of 544 Volt on its surface. Outside the sphere, at a radial distance of 22.0 centimeter from this surface, the potential is 323 Volt.
1) Estimate the radius of the sphere?
2) Estimate the total charge on the sphere?
3) Estimate the electric potential inside the sphere at a radius of 3.0 cm?
4) Estimate the magnitude of the electric field at the surface of the sphere?
5) If an electron starts from rest at a distance of 22.0 centimeter from the surface of the sphere, estimate the electron speed when it reaches the sphere surface.