Magnitude and direction of net force acting on a charge.

AI Thread Summary
The discussion revolves around calculating the net force acting on charge q1 due to three other charges arranged in a rectangle. The user has calculated individual forces between q1 and the other charges using Coulomb's Law but is struggling with the final magnitude and direction of the net force. They computed forces as 26.30 N, 5.89 N, and 24.82 N, and attempted to resolve these into components. However, the resulting calculations for the net force magnitude and angle do not match expected answers, indicating a potential misunderstanding of vector addition or the application of Coulomb's Law. Clarification on the principles of Coulomb's Law and vector resolution is sought to resolve the discrepancies.
thatguythere
Messages
91
Reaction score
0

Homework Statement


Four charges,
q1 = +195 µC, q2 = +60 µC, q3 = −145 µC, and q4 = +21 µC,
are fixed at the corners of a 4 m by 5 m rectangle, as illustrated in the figure below. What are the magnitude and the direction of the net force acting on q1? (Assume the x-axis extends from q1 to the right.)

q3--------------------q2
| |
| |
| |
q4--------------------q1

Homework Equations



F = k q1q2/r2

The Attempt at a Solution


I have followed the steps outlined here. http://dev.physicslab.org/Document....lectrostatics_AdvancedCoulombsLawProblems.xml

For Fq1q2 I get 26.30N
Fq1q4 I get 5.89N
and for Fq1q3 I get 24.82

I proceed to chart it as shown F X Y
q1q2 0 -26.30
q1q4 5.89 0
q1q3 24.82cos135°=-17.55 24.82sin135°=17.55
-11.66 8.75

Then F = sqr.rt(-11.66)^2+(8.75)^2
=14.58

Then a=tan-1|8.75 /-11.66|
=-36.89
θ=180-36.89
=143.11°

Neither of which are the proper answers apparently. What am I doing wrong? Any help would be greatly appreciated.
 
Physics news on Phys.org
Rectangle is 4 by 5, so diagonal is not at 45o angle
 
The problems are different. Do you understand what Coulomb's Law states? What is the magnitude and the direction of a force, one charge exerts on an other one?

ehild
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top