CALCULATING THE ELECTROSTATIC CONSTANT K Based on this information: Pith ball ma

Question

CALCULATING THE ELECTROSTATIC CONSTANT K Based on this information:

Pith ball mass

Wand charge #

Charge on each ball

Separation distance between the center of the pith balls

Length of the string from the center of ball to the hanging point

deflection angle of the pith balls

0.050g

80.0

3.357·109C

5.5 cm

39.0 cm

5.0

Pith ball mass

Wand charge #

Charge on each ball

Separation distance between the center of the pith balls

Length of the string from the center of ball to the hanging point

deflection angle of the pith balls

Explanation / Answer

tan(theta)=F/mg

tan(theta)=(k*q^2/r^2)/mg

k=tan(theta)*mg*(r/q)^2

=tan(5)*(0.05*10^-3*9.8*((5.5*10^-2)/(3.357*10^-9))^2

=1.15*10^10 N*m^2/C^2

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