<p>Calculate the magnitude and direction of the Coulomb force on each of the thr

Question

<p>Calculate the magnitude and direction of the Coulomb force on each of the three charges shown in the figure below.</p>
<p>6.00 &#181;C charge:</p>
<p>magnitude:&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160; N</p>
<p>direction:</p>
<p>1.50 &#181;C charge:</p>
<p>-2.00 &#181;C charge:</p>
<p>&#160;</p>
<p><img src="data:image/png;base64,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" alt="" /></p>
<p>&#160;</p>
<p>I keep getting coulombs constant as my answer for the first charge and my homework says that is not right.</p>

Explanation / Answer

ANSWER: F = kq1q2/r^2
1) F = k(6x10^-6)(1.5x10^-6)/(0.03)^2 -k(6x10^-6)(2x10^-6)/(0.05)^2 = 75-43.2 = 31.8N to the left
2) F = k(1.5x10^-6)(6x10^-6)/(0.03)^2 +k(1.5x10^-6)(2x10^-6)/(0.02)^2 = 75+67.5 = 142.5N to the right
3) F = k(2x10^-6)(6x10^-6)/(0.05)^2 +k(2x10^-6)(1.5x10^-6)/(0.02)^2 = 43.2+67.5 = 110.7N to the left
ANSWER: F = kq1q2/r^2
1) F = k(6x10^-6)(1.5x10^-6)/(0.03)^2 -k(6x10^-6)(2x10^-6)/(0.05)^2 = 75-43.2 = 31.8N to the left
2) F = k(1.5x10^-6)(6x10^-6)/(0.03)^2 +k(1.5x10^-6)(2x10^-6)/(0.02)^2 = 75+67.5 = 142.5N to the right
3) F = k(2x10^-6)(6x10^-6)/(0.05)^2 +k(2x10^-6)(1.5x10^-6)/(0.02)^2 = 43.2+67.5 = 110.7N to the left
ANSWER: F = kq1q2/r^2
1) F = k(6x10^-6)(1.5x10^-6)/(0.03)^2 -k(6x10^-6)(2x10^-6)/(0.05)^2 = 75-43.2 = 31.8N to the left
2) F = k(1.5x10^-6)(6x10^-6)/(0.03)^2 +k(1.5x10^-6)(2x10^-6)/(0.02)^2 = 75+67.5 = 142.5N to the right
3) F = k(2x10^-6)(6x10^-6)/(0.05)^2 +k(2x10^-6)(1.5x10^-6)/(0.02)^2 = 43.2+67.5 = 110.7N to the left

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