Two charges q1 and q2 are separated by a distance d and exert a force F on each
ID: 1264769 • Letter: T
Question
Two charges q1 and q2 are separated by a distance d and exert a force F on each other. What new force F ? would exist if q1 is tripled?
1. F ? = 9 F
2. F ? = 1/9 F
3. F ? = 3 F
4. None of these
5. F ? = 1/3 F
6. F ? = 0
What new force F ? would exist if q1 and q2 are cut in half? 1. F ? = 1/2 F 2. F ? = 1/4 F 3. F ? = 0 4. F ? = 4 F 5. None of these 6. F ? = 2 F
What new force F ? would exist if d is quadrupled? 1. F ? = 0 2. F ? = 4 F 3. F ? = 16 F 4. None of these 5. F ? = 1/4 F 6. F ? = 1/16 F
What new force F ? would exist if d is cut in half? 1. F ? = 0 2. None of these 3. F ? = 1/4 F 4. F ? = 1/2 F 5. F ? = 4 F 6. F ? = 2 F
What new force F ? would exist if q1 is tripled and d is doubled? 1. F ? = 16/9 F 2. F ? = 0 3. F ? = 4/3 F 4. None of these 5. F ? = 9/16 F 6. F ? = 16/4 F 7. F ? = 4/16 F 8. F ? = 3/4 F
Explanation / Answer
F = k*q1*q2/d^2
F' = k*3*q1*q2/d^2 = 3*k*q1*q2/d^2 = 3F
3. F ? = 3 F <-----answer
-----------------
F' = k*(q1/2)*(q2/2)/d^2 = k*q1*Q2/4d^2 = F/4
F' = F/4
option 2
++++++++++++
F' = k*q1*q2/(4d)^2 = k*q1*q2/16d^2 = F/16
F' = (1/16)*F
option 6
++++++++++
F' = k*q1*Q2/(d/2)^2 = 4*k*q1*q2/d^2 = 4*F
F' = 4 F
option 5
+++++++++
F' = k*3*q1*q2/(2d)^2 = k*3*q1*q2/4d^2 = (3/4)*k*q1*Q2/d^2 = (3/4)*F
F' = 3/4 F
option 8
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