Electrostatics: Calculating Charge on Suspended Spheres

In summary, two small spheres with equal charges of 0.120g each are suspended from a point by their own silk fibers, which are 75.0cm long. The repulsive force between them keeps their centers 10.0cm apart. The problem involves static equilibrium and requires identifying all the forces acting on each sphere. These forces include tension, gravitational force, and the repulsive force. By drawing a free body diagram and considering the symmetry of the problem, it can be determined that the tension is equal for both spheres and has x and y components. The repulsive force can be calculated using the length of the string and the distance between the spheres. The final step is to rewrite the force equations and solve for the repulsive
  • #1
Neerolyte
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two small spheres, each with 0.120g, have equal charges placed on them. Each sphere is suspended from the same point by its own silk fibre which are 75.0cm long. The repulsive force between them keep their centres 10.0cm apart. What is the charge on each sphere?
 
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  • #2
It's a static equilibrium problem. Start by identifying all the forces acting on each sphere.
 
  • #3
hm...this is what i think of it

Since there is strings involved, there must be tension. And since there are 2 strings connected to 1 point holding the 2 spheres. There must be T1 and T2. T1 and T2 must have components. We knew the mass of the two spheres so we know what Fg is, which equals to T1y and T2y.

Here is thing i don't know. Is T1x the repulsive force? IF it is, why does the data contain the string's length...and IF it is NOT, then I'm not sure how to do it...

yes i did a FBD, and identified all the forces. Fg, T, and repulsive force, that's it..
 
  • #4
Neerolyte said:
Since there is strings involved, there must be tension. And since there are 2 strings connected to 1 point holding the 2 spheres. There must be T1 and T2. T1 and T2 must have components. We knew the mass of the two spheres so we know what Fg is, which equals to T1y and T2y.
Right. But the symmetry of the problem tells you that T = T1 = T2; you only need to deal with one of the two masses. And yes, the tension in the string exerts a force on the mass with components Tx and Ty. For equilibrium, Ty = mg.


Here is thing i don't know. Is T1x the repulsive force? IF it is, why does the data contain the string's length...and IF it is NOT, then I'm not sure how to do it...
The only forces acting horizontally are Tx and the repulsive force (F), so F = Tx. The length of the string and the distance between the masses will allow you to calculate the x and y components of the tension force. (Hint: One will be Tcos(theta); the other will be Tsin(theta).)

Next step: Rewrite the two force equations and solve for the repulsive force F.
 
  • #5
yep got it ^_^

thank you very much
 

FAQ: Electrostatics: Calculating Charge on Suspended Spheres

What is electrostatics?

Electrostatics is the study of electric charges at rest and the forces between them. It is a branch of physics that examines the behavior of objects that have an electric charge.

What is an electric field?

An electric field is a region in space where an electric force can act on a charged particle. It is created by electric charges and can exert a force on other charges within the field.

What is Coulomb's law?

Coulomb's law states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. It can be written as F = k(q1q2/r^2), where F is the force, q1 and q2 are the charges, r is the distance between them, and k is a constant.

How does the distance between two charges affect the electric force between them?

The electric force between two charges is inversely proportional to the square of the distance between them. This means that as the distance increases, the force decreases. For example, if the distance between two charges is doubled, the force between them will decrease by a factor of four.

What is the difference between conductors and insulators?

Conductors are materials that allow electric charges to flow freely, while insulators are materials that do not allow electric charges to flow easily. Conductors typically have a low resistance to the flow of charges, while insulators have a high resistance. This is due to the difference in the ability of these materials to hold onto their electrons.

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