A small block of mass m and charge Q is placed on an insulated, frictionless, inclined plane of angle θ as in the figure below. An electric field is applied parallel to the incline.
(a) Find an expression for the magnitude of the electric field that enables the block to remain at rest. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration due gravity.)
(b) If m = 5.41 g, Q = -7.63 µC, and θ = 23.9°, determine the magnitude and the direction of the electric field that enables the block to remain at rest on the incline.