A very small sphere with positive charge q = 7.00 μC is released from rest at a point 1.60 cm from a very long line of uniform linear charge density λ = 2.00 μC/m.

a) Calculate the electric potential energy of the sphere.
b) Determine the velocity of the sphere just before it hits the ground.
c) Find the kinetic energy of the sphere at the point of impact.
d) Identify the direction of the electric field at the initial position of the sphere.