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17_InstSolManual_PDF_Part9

# 17_InstSolManual_PDF_Part9 - same direction as the electric...

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17.27. Set Up: The central charge will be 1.85 nm from the charge on the left and 1.15 nm from the charge on the right. Like charges repel. The force diagram for the central charge is given in Figure 17.27. Figure 17.27 Solve: The net force is to the left. Reflect: The electrical forces are vectors and must be added as vectors. At the initial position of the central charge the net force on it is zero. If the central charge is displaced in either direction, the net force on it is in the direction that pushes it back toward the equilibrium position. 17.28. Set Up: The new charges are and Solve: The new force is 17.29. Set Up: Initially, and The new separation is The new force is Solve: so and Reflect: The force is proportional to so a decrease in r increases the force. 17.30. Set Up: If the new acceleration equals then the new force equals Initially, and The new separation is Solve: so 17.31. Set Up: A proton has charge Solve: (a) Since the charge is negative, the force and electric field are in opposite directions and the electric field is upward. (b) The charge is positive so the force is in the
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Unformatted text preview: same direction as the electric field; the force is upward. F 5 q E 5 eE 5 1 1.60 3 10 2 19 C 21 2.50 N 2 5 4.00 3 10 2 19 N. E 5 F q 5 20.0 3 10 2 9 N 8.00 3 10 2 9 C 5 2.50 N / C. F 5 q E . q 5 1 e 5 1 1.60 3 10 2 19 C. F S 5 q E S . r r 5 d " 5 . F r 5 k q 1 q 2 1 r r 2 2 5 1 5 k q 1 q 2 d 2 , r r . F 5 k q 1 q 2 d 2 . r 5 d F 5 k q 1 q 2 r 2 . F / 5. F r a / 5 a r 1 / r 2 , r r 5 D / " 3 . 1 1 r r 2 2 5 3 D 2 F r 5 k q 1 q 2 1 r r 2 2 5 3 k q 1 q 2 D 2 , F r 5 3 F . r r . F 5 k q 1 q 2 D 2 . r 5 D F 5 k q 1 q 2 r 2 . F r 5 k q 1 r q 2 r r 2 5 k 2 q 1 2 q 2 r 2 5 4 k q 1 q 2 r 2 5 4 F . q 2 r 5 2 q 2 . q 1 r 5 2 q 1 F 5 k q 1 q 2 r 2 . 4.27 3 10 2 10 N, F 2 5 k 1 2 e 2 2 r 2 2 5 1 8.99 3 10 9 N # m 2 / C 2 2 4 1 1.60 3 10 2 19 C 2 2 1 1.15 3 10 2 9 m 2 2 5 6.961 3 10 2 10 N F 1 5 k 1 2 e 2 2 r 2 1 5 1 8.99 3 10 9 N # m 2 / C 2 2 4 1 1.60 3 10 2 19 C 2 2 1 1.85 3 10 2 9 m 2 2 5 2.690 3 10 2 10 N q 1 F 2 1 q 2 1.85nm 1.15nm Electric Charge and Electric Field 17-9...
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