A small ball with charge q = 15 C and mass m = 0.035 kg is suspended from the ceiling by a string of length L = 2 m and is initially at rest. A uniform horizontal electric field E of magnitude 500 V/m is applied to the ball-string system. The ball then begins to move. Ignore air resistance.

L a B VVVVV A c Otheexpertta.com Part (a)Suppose point Bis the highest point the ball can reach. Takef as the angle ofthe string with the vertical direction at point B. Enter an expression for the change of gravitational potential energyAU from point A to point B in terms of the symbols given. Expression : AU Select from the variables below to write your expression. Note that all variables may not be required. cos(a ), cos(Q), cos(0), sin(a), sin(@), sin(0), tan(0), a, B, 7, 0, d, E, g, h, L, m, q, t, w Part (b) Enter an expression for the change of the electrical potential energy U from point A to point B in terms of the symbols given. Expression : AU = Select from the variables below to write your expression. Note that all variables may not be required. cos(a ), cos(p), cos(0), sin(a), sin(q), sin(0), tan(0), a, B, x, 0, d, E, g, h, L, m, q, t, w Part (c) Select the correct expression for angled based on the expressions in parts (a) and (b). SchematicChoice 0 = 2sin-1 Eq 0 = 2cot-1 Eq 0 = 2tan-1 Eq mg mg mg 0 = 2cos -1 mg Eq Eq 0 = 2cos -1 0 = 2sin-1 mg mg. Eq Part (d) Calculate the value of, in degrees. Numeric : A numeric value is expected and not an expression. 0 = Part (e) Suppose point Cis the point where the ball reaches its highest speed, and is the angle of the string with the vertical at point C. Which of the free body diagrams below for the ball is correct? SchematicChoiceFP FP Eg Eq mg mg mg Fp Eq. Eq. mg Part (f) Write an equation for the sum of forces in the direction of motion of the ball when it is at location C in terms of the given symbols. Take counterclockwise as positive. Expression : EF = Select from the variables below to write your expression. Note that all variables may not be required. cos(a ), cos(p), cos.(0), sin(a), sin(q), sin(0), a, 0, E, g, L, m, q, t, w Part (g)Enteran expression for tan(a) in terms of the symbols given. Expression : tan(a) = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(p), cos(0), sin(a), sin(q), sin(0), a, n, 0, E, g, L, m, q, t Part (h) Find the value ofa, in degrees. Numeric : A numeric value is expected and not an expression. a =