What is the net force exerted by these two charges on a third charge q 3 = 47.5

Question

What is the net force exerted by these two charges on a third charge q3 = 47.5 nC placed between q1 and q2 at x3 = -1.190 m ?

Chapter 16 Assignment (Part 1 of 2) Forces in a Three-Charge System 4 of 18 > Constants Part A Coulomb's law for the magnitude of the force F between two particles with charges Q and Q separated by a distance d is What is the net force exerted by these two charges on a third charge 3 47.5 nC placed between 1 and 2 at 31.190 m? Your answer may be positive or negative, depending on the direction of the force Express your answer numerically in newtons to three significant figures where K = and View Available Hint(s) E0 = 8.854 × 10-12 C2/(N·m 2) is the permittivity of free space Consider two point charges located on the x axis one charge, 116.5 nC, is located at 11.750 m ; the second charge q2-37.0 nC , is at the origin (z = 0.0000) Force on 93 Submit

Explanation / Answer

Since Q1 is negative and to the left of Q3 the force will be to the left

Since Q2 is positive and to the right of Q3 the the force will also be to the left

Therefore you can add the forces together (with left being negative)

Now we have F = -k*Q1*Q3/r13^2 - k*Q2*Q3/r23^2

= -9.0x109*16.5x10-9*47.5x10-9/(1.750 - 1.19)2 - 9.0x109*37x10-9*47.5x10-9/1.192

=- 33662.675*10-9N or

-3.366*10-5N

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