Solving for Electrical Force: Finding Q1 & Q2

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To find the electrical force experienced by two negatively charged spheres hanging at a 40-degree angle, one must first analyze the forces acting on each sphere, including gravitational and electric forces. The mass of each sphere is 5.0g, and the strings are 0.4m long. A Free Body Diagram should be drawn to visualize the forces and establish equilibrium conditions, allowing for the calculation of the electric force. Once the electric force is determined, Coulomb's Law can be applied to find the charge values Q1 and Q2, which are equal but unspecified. Using trigonometry to calculate the distance between the charges is also essential for accurate results.
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two spheres have the same negative charge. Each sphere is held by a string .4m long.

the spheres hang with a 40 degree andgle between them due to repulsion

What is the electrical force experienced by each sphere?


in order to get the answer I need d (which I can get using trig), Q1 and Q2.

I'm stuck here... how do I get Q1 and Q2?
any help is appreciated.
 
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can you post an image? it'll help to imagine it correctly.
 
bullroar_86 said:
two spheres have the same negative charge. Each sphere is held by a string .4m long.

the spheres hang with a 40 degree andgle between them due to repulsion

What is the electrical force experienced by each sphere?


in order to get the answer I need d (which I can get using trig), Q1 and Q2.

I'm stuck here... how do I get Q1 and Q2?
any help is appreciated.

You need more information than you posted to solve this problem. What other forces beside electical repulsion are acting? There must be some or else the strings would be pointing in opposite directions, not 40 degrees apart.
 
Ok i don't have the picture, but this should give you the idea. (the picture on the right)



given:

mass of each sphere = 5.0g
length of each string = 40cm
angle between the strings = 40 degrees (each sphere is 20 degrees from the vertical) due to repulsion

the spheres each have the same negative charge.

-------------------------------------------------------

What is the magnitude of the electric force each sphere experiences?
 

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Draw the Free Body Force diagram for a sphere. What are the forces acting on the sphere? . At equilibirium all the forces are balanced. Equate the forces in the x and y directions for the sphere and you should be able to calculate the Force experienced due to the charges.
 
ahh ok, that's pretty simple.

the second part of the question is to find the values of each charge (they are equal but no value is given)

I was trying to figure it out that way first.

So I guess I draw the free body diagram first, find the electric force..

then plug the electric force into Coulomb's Law equation to find Q.


sound right? :biggrin:

thanks
 
Yes, but make sure you use the correct value of distance between the two charges.
 
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