Hanging from threads are two charged balls made of pith (a very light, spongy ma

Question

Hanging from threads are two charged balls made of pith (a very light, spongy material that comes from inside the stems of certain plants). The balls each have a mass of 0.100 g and a charge of the same magnitude q and are attracted toward each other. (Both angles=20 degrees; r=2.00 cm.)

(a) What is the magnitude of the electric force?

(b) What is the magnitude of q?

(c) How many electrons have been transferred to or from each ball?

Explanation / Answer

let tension be T. electrostatic force is attractive here.let this force be F> so balancing vertical forces, T*cos(20)=m*g T=0.0010428 N=1.0428*10^(-3) N balancing horizontal component, T*sin(20)=F F=0.000356 N=3.56*10^(-4) N (b.) in terms of q, F=9*10^9*q*q/r^2 so q=3.977*10^(-9) coloumb (c)no of electrons=3.977*10^(-9) /(1.6*10^(-19))=2.486*10^(10)

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