Four charges 8 × 10−9 C at (0 m, 0 m), 9 × 10−9 C at...

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Question

Four charges 8 × 10−9 C at (0 m, 0 m), 9 × 10−9 C at (5 m, 4 m), 1 × 10−9 C at (3 m, 1 m), and −5 × 10−9 C at (−1 m, 4 m), are arranged in the (x, y) plane as shown.

a)Find the magnitude of the resulting force on the 8 nC charge at the origin. The Coulomb constant is 8.98755 × 109 N · m2 /C 2 . Answer in units of N.

b) What angle does the resultant force on the 8 nC charge at the origin make with the positive x axis? Quadrant I lies between 0◦ and 90◦ , quadrant II between between 90◦ and 180◦ , etc. Answer in units of ◦ . 山 54321012345

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Answer 1

Answer #1

Force betwe w chares i and 2 e«n 3f both same siah- CU) F 22 с 5.4) 13 3,1 el 12 The Distanc behu, e e h ta, o Point (x,%) and (X2 .) So The Distance beween, ahd 13 4 -TA c magnitude of cha > ges The ures on nc Cmani tud onl) duc Io 1n 止 4 勾 1.578 x 10-8 N 17 3 s) 93-14-040 4- The manitode of charges 4 (ii) Due to 23- 2_ 5 7.130 ΧΙΟ Fi3-귀. go x (o-i@ ΛΙ (r42 03 -14 04 s-Component FFxFJ(41)0.135 As (b) Dnecion roxaais Fy 9tan-2-42 6.233 +5 Foc 8 -100-33