A metal sphere with a radius of 0.1 m is placed in a uniform electric field of magnitude 5000 N/C. The sphere has a charge of 1 C. Assume that the electric field is in the positive x-direction.

A) Calculate the electric force on the sphere.

B) Calculate the electric potential at a distance of 0.1 m from the center of the sphere.

C) Determine the direction of the electric field at a point 0.2 m from the center of the sphere in the x-y plane.

D) Calculate the electric flux through a sphere with a radius of 0.2 m centered on the metal sphere.

E) Calculate the electric field at a distance of 0.2 m from the center of the sphere in the y-direction.

F) If the metal sphere is now connected to a larger conducting sphere with a radius of 1 m, what is the new electric potential at a distance of 0.1 m from the center of the original sphere?