A small ball with charge q = 12.8 μC and mass m = 0.065 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. a)Suppose point B is the highest point the ball can reach. Take θ as the angle of the string with the vertical direction at point B. Enter an expression for the change of gravitational potential energy ΔUg from point A to point B in terms of the symbols given.  b) Enter an expression for the change of the electrical potential energy ΔUe from point A to point B in terms of the symbols given.

Question

A small ball with charge q = 12.8 μC and mass m = 0.065 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.

a)Suppose point B is the highest point the ball can reach. Take θ as the angle of the string with the vertical direction at point B. Enter an expression for the change of gravitational potential energy ΔUg from point A to point B in terms of the symbols given. 

b) Enter an expression for the change of the electrical potential energy ΔUe from point A to point B in terms of the symbols given. 

 

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