Question #312981

Three point charges arranged as shown. q1= 4.0x10-9C, 2 = 5.0x10-9C, q3= -6.0x10-9C. Find the net force on q1 due to q2 and q3.




q2---------- 0.5m ------q1--------- 0.3m -------q3




1
Expert's answer
2022-03-21T12:47:29-0400

Force

F1=kq1q2r2F_1=\frac{k q_1q_2}{r^2}


F1=9×109×5×109×4×1090.52=7.2×107NF_1=\frac{9\times10^9\times5\times10^{-9}\times4\times10^{-9}}{0.5^2}=7.2\times10^{-7}N

Force

F2=kq1q3r2F_2=\frac{k q_1q_3}{r^2}


F2=9×109×6×109×4×1090.32=24×107NF2=24×107NF_2=-\frac{9\times10^9\times6\times10^{-9}\times4\times10^{-9}}{0.3^2}=-24\times10^{-7}N\\|F_2|=24\times10^{-7}N

Net force

Fnet=F1+F2F_{net}=F_1+F_2


Fnet=(7.2+24)×107N=31.2×107NF_{net}=(7.2+24)\times10^{-7}N=31.2\times10^{-7}N


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