Calculating Electric Force: Neutral Sphere A & Charged Sphere B

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To calculate the electric force between a neutral sphere A and a charged sphere B, one must consider the principles of electrostatics and the forces acting on the spheres. When sphere B, with charge -q, contacts sphere A, it induces a charge on sphere A, leading to repulsion between the two spheres when they are separated. The relevant formulas include Coulomb's law for electric force and the equations for charge distribution on conductors. The mass of sphere A and the length of the insulating wire also play a role in determining the system's equilibrium position. Understanding these concepts is essential for accurately calculating the initial charge on sphere B.
Cory
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How do I calculate Electric forces when objects are dangling from insulated wire. For example
Neutral metal sphere A, of mass 0.10kg hangs from an insulating wire 2.0m long. An identical metal sphere B, with charge -q, is brough into contact with the sphere A. The spheres repel and stelle down as shown in the following figure

.\ <) = 12
...\
...\
...\
(B)...(A)
* <) AB(top) = 90 degrees.
Calculate the initial charge on B.
 
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I don't remember these formulas if you could give me some formulas for electric forces I'd help you out!
 
Sorry, I posted this in the wrong section, it is now in the right section with the formula.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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