Question

Coulomb's law for the magnitude of the force F between two particles with charges Q and...

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′|/d^2)

where K=1/(4πϵ0), and ϵ0=8.854×10^−12 C^2/(N⋅m^2) is the permittivity of free space.

Consider two point charges located on the x axis: one charge, q1 = -17.5 nC , is located at x1= -1.735 mm ; the second charge, q2 = 36.5 nC , is at the origin (x = 0).

What is (Fnet3)x, the x-component of the net force exerted by these two charges on a third charge q3= 49.0 nC placed between q1 and q2 at x3 = -1.140 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.

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