Please Assist in answering the following question, Please do show all of your wo

Question

Please Assist in answering the following question, Please do show all of your work as well as your step by step process. Thank you in Advance.

8. A small 20.5 g ball is tied to a very light 29.5 cm string that is attached to the vertical wall of a room. A uniform horizontal electric field exists in this room. When the ball has been given an excess +4.00 uC, you observe that it remains suspended, with a string making an angle of 17.4° with the wall. Find the magnitude and direction of the electric field in the room.

Explanation / Answer

The geometry of the string gives us the geometry of the forces.

tan = electrostatic force / weight = q*E / m*g

E = mgtan / q = 0.0205kg * 9.8m/s² * tan17.4º / 4e-6C

E = 1.573e4 N/C

direction

down ward

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