In: Physics
Coulomb's law for the magnitude of the force F between two particles with charges Q and Q′ separated by a distance d is |F|=K|QQ′|d2, where K=14πϵ0, and ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free space. Consider two point charges located on the x axis: one charge, q1 = -18.0 nC , is located at x1 = -1.680 m ; the second charge, q2 = 39.5 nC , is at the origin (x = 0).
What is (Fnet3)x(Fnet3)x, the x-component of the net force exerted by these two charges on a third charge q3q3q_3 = 51.0 nCnC placed between q1q1 and q2q2 at x3x3x_3 = -1.110 mm ?
Your answer may be positive or negative, depending on the direction of the force.
Express your answer numerically in newtons to three significant figures.