For a) I believe the algebraic sign of the charge q is negative. b) I am not sur

Question

For a) I believe the algebraic sign of the charge q is negative.

b) I am not sure but I believe it has something to do with FBD (Free Body Diagram).

Something related to T cos=mg and Tsin=Fe.

c) I am not sure. I think we have to use Coulomb's law?

I am stuck on this so help me out. If you see my mistake, please point it out. Appreicate it in advance!

KUF 2nd 20-66 A small ball of mass m and charge q is attached by a light thread to the ceiling. An electric field E directed horizontally to the right causes the ball to be at rest at an angle of in the vertical plane as shown in the diagram. a) What is the algebraic sign of the charge q? Derive an expression for the angle in terms of the magnitude of the electric field E, the mass m, and the magnitude of the charge lal and perhaps constants (e.g., g, , ½ ). Calculate a numerical value for the angle if E = 200 kN/C, m = 2.00 g, and lqI = 25.0 nC. m,1 c)

Explanation / Answer

a)
Since charge is deflected in direction of field, charge must be positive
b)
sin thetha / cos thetha = Fe/m*g
sin thetha / cos thetha = (q*E)/m*g
tan thetha = (q*E)/m*g
thetha = atan ((q*E)/m*g)
c)
thetha = atan ((q*E)/m*g)
= atan ((25*10^-9*200*10^3)/2*10^-3*9.8)
= 14.3 degree
Answer: 14.3 degree

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