BestterandElectFieds Forces in a Three-Charge System previous 3 of 2 Forces in a

Question

BestterandElectFieds Forces in a Three-Charge System previous 3 of 2 Forces in a Three-Charge System Part A What is the net force exerted by these two charges on a third charge s 51.5 nC placed belween 2i Coulomb's law for the magnilude of the force F between two particles with charges Q and Q separated by a distance d is and g2 at z3=-1.060 mi? Your answer may be positive or negative, depending on the direction of the foroe. Express your answer numerically in newtons to three significant figures. Hints where K = ·and #0 8.854 × 10-12 C2/(N-n?) is the permittivity of free space. Consider two point charges located on the x axis 21-1.710 m : the second charge, one charge, 91-12.5 nC, is located at Force on 93 g2-335 nC , is at the origin (z-0.0000) Submit My Answers Give Up Incorrect, Try Again; 2 attempts remaining Provide Feedback Continue

Explanation / Answer

here,

q1 = - 12.5 * 10^-9 C is at x1 = - 1.71 m

q2 = 33.5 * 10^-9 C is at x2 = 0 m

q3 = 51.5 * 10^-9 C is at x3 = - 1.06 m

the net force exerted by these two charges on other 2 , F= k * q1 * q3/(1.71 - 1.06)^2 + k * q2 * q3 /x3^2

F = 9 * 10^9 * 10^-9 * 10^-9 * ( 12.5 * 51.5 /( 0.65^2) + 33.5 * 51.5 /1.06^2) N

F = 2.75 * 10^-5 N

the net force is 2.75 * 10^-5 N is directed towards -x direction

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