%3Cp%3EA%20small%26nbsp%3Bsphere%26nbsp%3Bwith%26nbsp%3Ba%26nbsp%3Bmass%26nbsp%3

Question

%3Cp%3EA%20small%26nbsp%3Bsphere%26nbsp%3Bwith%26nbsp%3Ba%26nbsp%3Bmass%26nbsp%3Bof%26nbsp%3B4.00x10%5E-6%26nbsp%3Bkg%26nbsp%3Band%26nbsp%3Bcarrying%26nbsp%3Ba%26nbsp%3Bcharge%26nbsp%3Bof%26nbsp%3B5.00%C3%9710%5E-8C%26nbsp%3Bhangs%26nbsp%3Bfrom%26nbsp%3Ba%26nbsp%3Bthread%26nbsp%3Bnear%26nbsp%3Ba%26nbsp%3Bvery%26nbsp%3Blarge%2C%26nbsp%3Bcharged%26nbsp%3Binsulating%26nbsp%3Bsheet.%26nbsp%3BThe%26nbsp%3Bcharge%26nbsp%3Bdensity%26nbsp%3Bon%26nbsp%3Bthe%26nbsp%3Bsurface%26nbsp%3Bof%26nbsp%3Bthe%26nbsp%3Bsheet%26nbsp%3Bis%26nbsp%3B2.50%26nbsp%3Bx%26nbsp%3B10%5E-9%26nbsp%3BC%2Fm%5E2%26nbsp%3B.%26nbsp%3BFind%26nbsp%3Bthe%26nbsp%3Bangle%26nbsp%3Bof%26nbsp%3Bthe%26nbsp%3Bthread.%3C%2Fp%3E

Explanation / Answer

theta = atan(force_ver / force_hor)

E = charge density / 2*epsilon_not = 2.5 * 10^(-9) / (8.85 * 10^(-12)) = 141.24

tan theta = mg/Eq = (4*10^(-6)) * 9.8 / (141.24 * 5 * 10^(-8)) =

theta = 86.70deg

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