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Charged wall and hanging charged plastic ball

A wall has a negative charge distribution producing a uniform horizontal electric field. A small plastic ball of mass 0.01 kg, carrying a charge of -80.0 µC, is suspended by an uncharged, nonconducting thread 0.30 m long. The thread is attached to the wall and the ball hangs in equilibrium (as show in the attachment)in the elastic and gravitational fields. The electric force on the ball has a magnitude of 0.032 N.
a.) Draw and label the forces acting on the ball (diagram included in attachment).
b.) Calculate the magnitude of the electric field at the ball's location due to the charged wall, and state its direction relative to the coordinate axes shown.
c.) Determine the perpendicular distance from the wall to the center of the ball.
d.) The string is now cut.
i. Calculate the magnitude of the resulting acceleration of the ball,
and state its direction relative to the coordinate axes.
ii. Describe the resulting path of the ball.

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Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.

(a) Diagram

(b) Electric field is ...

Solution Summary

This question is same as or similar to questions that can appear in any Physics test. It is important to learn how to solve this type of questions. I have provided clear and step by step solution in a 3-page word document along with a diagram showing the forces acting on the plastic ball.