2 small spheres with mass m = 15.1 g are hung by silk threads of length L = 1.21 m from a common point. When the spheres are given equal charges, so that q_1 = q_2 = q, each thread hangs at an angle theta = 26 degrees from the vertical. Find the magnitude q.

Use 9.81 m/s^2 as the acceleration due to gravity and 8.85 * 10^-12 C^2/Nm^2 as the permittivity of free space.

Solution Preview

Dear Student,

Please see the solution to your problem in the attached word file
'Solution_Proof_TinyChargedSpheres_02.doc'.

Its a very simple problem. I have given one additional case, where ...

Solution Summary

The solution calculates the magnitude of charges of two balls hanging from non-conducting threads.

Objects A and B are both positively charged. Both have a mass of 500 g, but A has twice the charge of B. When A and B are placed 50.0 cm apart, B experiences an electric force of 0.810 N.
1) How large is the force on A?
2) What are the charges q_A and q_B?
3) If the objects are released, what is the initial acceleration of

The force between two point charges is given by
F = (k(q_1)(q_2))/r^2
k = 9.0 * 10^9 * (N * M)/C^2
Using Coulomb'sLaw, What is the force, in billions of Newtons, rounded to the nearest whole number, between a pair of like charged particles if one particle is 2.0 Culomb and the second particle is 2.0 Culomb and they ar

1) The figure shows 3 pairs of identical spheres that are to be touched together and then separated. The initial charges on them are indicated. Rank the pairs according to
(a) the magnitude of the charge transferred during touching and
(b) the charge left on the positively charged sphere, greatest first.
The picture s

Two 1.50 kg masses are 3.00 m apart on a frictionless table. Each has + 5.20 C of charge.
What is the magnitude of the electric force on one of the masses?
What is the magnitude of the electric force between the spheres?
What is the initial acceleration of the mass if it is released and allowed to move?

The nucleus of a (125)^Xe atom (an isotope of the element xenon with mass 125 u) is 6.0 fm in diameter. It has 54 protons and charge q= + 54e.
1)What is the electric force in N on a proton 1.90 fm from the surface of the nucleus?
2)What is the proton's acceleration?

Please show all work and diagrams plus equations used to solve problem. Thanks!
1) A small object has charge Q. Charge q is removed from it and placed on a second small object. The two objects are placed 1 meter apart. For the force that each object exerts on the other to be a maximum, q should be:
2) Two smallcharged

1. Can there be an electric field to the point where there is no charge? Can there be a charge at a place where there is no field? Please write a one or two sentence answer to each of these questions.
2. Let's say you are holding two tennis balls (one in each hand), and let's say that these balls each have a charge Q. estima

Please show all work and show all equations used and diagrams.
1) Two conducting spheres are far apart. The smaller sphere carries a total charge of 6*10^-8C. The larger sphere has a radius that is twice that of the saler and is neutral. After the two spheres are conected by a conducting wire, the charges on the smaller and

8. A sphere of radius R1 carries a uniform charge density p throughout its volume except
for a small spherical hollow volume of radius R2 located at distance a from the center
(and fully contained within the larger sphere).
a) Calculate the electric field E at the center of the hollow sphere. [Be careful, you can't
just ap