please solve this problem and make it understandable! For questions 14-15, show
ID: 1419250 • Letter: P
Question
please solve this problem and make it understandable!
For questions 14-15, show all your work to receive full credit. Don't forget the appropriate units and the correct number of significant figures. Three point charges are fixed on an x-y plane as shown. Charge q_1 = 6.3 times 10^-6 C is at the origin, charge q_2 = 3.3 times 10^-6 C is at (x = -0.20 m, y = -0.20 m), and charge q_3 = 3.3 times 10^-6 C is at (x = 0.20 m, y = -0.20 m). a. What is the magnitude of the net electric force acting on charge q_1 due to q_2 and q3? b. What is the direction of the net force obtained in (a.)?Explanation / Answer
a) Force exerted by q2 on q1, q21 = k*q2*q1/d12^2
= 9*10^9*3.3*10^-6*6.3*10^-6/(0.2^2 + 0.2^2)
= 2.34 N (45 degrees above +x axis)
Force exerted by q3 on q1, q31 = k*q3*q1/d13^2
= 9*10^9*3.3*10^-6*6.3*10^-6/(0.2^2 + 0.2^2)
= 2.34 N (45 degrees above -x axis)
so, angle between F21 and F31 is 90 degrees
so, net force on q1, Fnet = sqrt(F21^2 + F31^2)
= sqrt(2.34^2 + 2.34^2)
= 3.31 N
b) Direction : 90 degrees with +x axis (along +y axis)
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