Posted by Jenipher on Thursday, June 7, 2012 at 10:25am.
Pith Balls
Two small pith balls, each of mass m = 17.7 g, are suspended from the ceiling of the physics lab by 0.8 m long fine strings and are not moving. If the angle which each string makes with the vertical is è = 42.6°, and the charges on the two balls are equal, what is the magnitude of that charge (in µC)? (Please note that the unit of charge is microCoulomb here  some browsers might not display the Greek letter mu correctly and show it as an m.)

Physics  Elena, Thursday, June 7, 2012 at 10:39am
If the charged ball is suspended be the string which is deflected by the angle α, the forces acting on it are: mg (downwards), tension T (along the string  to the pivot point), and F (electric force –along the line connecting the charges).
Projections on the horizontal and vertical axes are:
x: T•sin α = F, ….(1)
y: T•cosα = mg. ….(2)
Divide (1) by (2):
T•sin α/ T•cosα = F/mg,
tan α = F/mg.
Since
q1=q2=q.
r=2•L•sinα,
k=9•10^9 N•m²/C²
F =k•q1•q2/r² = k•q²/(2•L•sinα)².
tan α = F/mg =
= k•q²/(2•L•sinα)² •mg.
q = (2•L•sinα) • sqrt(m•g•tanα/k)=
=(2•0.8•sin42.6) •sqrt(0.0177•9.8•tan42.6/9•10^9) =... 
Physics  katlego, Thursday, April 10, 2014 at 3:44am
sqrt((0.0177(2*0.8*sin42.6))(tan42.6)/9*10^9)

Physics  katlego, Thursday, April 10, 2014 at 3:47am
sqrt((0.0177(2*0.8*sin42.6))(tan42.6)/9*10^9)=1.5*10^6

Physics  Anonymous, Wednesday, June 11, 2014 at 8:58pm
From what height can a 1kg falling object cause fracture of the skull? Assume that the object is hard, that the area of contact with the skull is 1 cm2, and that the duration of impact is 10−3 sec.