Coulombs Law solving for electrostatics force

AI Thread Summary
To determine the resultant electrostatic force on a +6.0 µC sphere influenced by a -3.0 µC sphere and a +1.5 µC sphere, it is essential to calculate the forces exerted by both spheres separately using Coulomb's Law. The forces, F1 and F2, must be calculated based on their respective distances: 4.00 cm for the -3.0 µC sphere and 3.00 cm for the +1.5 µC sphere. The total force on the +6.0 µC sphere is the vector sum of F1 and F2, taking into account their directions. The correct resultant force is 190 N. Understanding the vector nature of these forces is crucial for accurate calculations.
alan1592
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Homework Statement



A small spehere with charge of +6.0uc is located near two other small charged spheres. A -3.0uc sphere is located 4.00 cm to the right and a +1.5uc sphere is located 3.00 cm to the left. Determine the resultant electrostatics force on the 6.0uc sphere.

Correct answer is 190N

Homework Equations



1C=1x10^6uc F=KQ1Q2/D62

The Attempt at a Solution


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where is your attempt ?..

anyway, I`ll give a hint: try to find out the electric field produced from the sphere located to the right on a point located 4cm to the left of it, then find the electric field from the sphere located to the left on a point located 3cm to the right of it .. then (along with the fact that electric field is a vector) find the resulant electric field at that point , and make use of the relation F = q*E ..
 
thebigstar25 said:
where is your attempt ?..

anyway, I`ll give a hint: try to find out the electric field produced from the sphere located to the right on a point located 4cm to the left of it, then find the electric field from the sphere located to the left on a point located 3cm to the right of it .. then (along with the fact that electric field is a vector) find the resulant electric field at that point , and make use of the relation F = q*E ..
My attempt is in the picture. I converted everything and then used the equation F=KQQ/D^2 and stuff but idk what to do after that.
 
i can not follow what you did in the attachment (forgive my poor eyes) .. Can you please write what you have done so I can help..
 
thebigstar25 said:
i can not follow what you did in the attachment (forgive my poor eyes) .. Can you please write what you have done so I can help..

Sure I can do that. First i converted the givens to coulombs then the two outside spheres i got there information and then plugged them into the formula F=kq1q2/D2 for both sides but still i got the wrong answer
 
the question is asking to find the force on the sphere of charge 6 micro c.. and since you have two spheres then you are should have two forces acting on the sphere of 6 micro c.. You will have F1 between the sphere of 6 micro c and the sphere of -3 micro c, and F2 between the sphere of 6 micro c and the sphere of 1.5 micro c .. Then your answer will be simply F=F1 + F2 ..

NOTE: don't forget that F is a vector and F1+F2 is vector addition (i.e. Determine the direction of each force) ..

Good luck ..
 

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