Spheres Definition and 467 Threads

Homework Statement Two uncharged conductors A and B are of different sizes. They are charged as follows: 1. A is charged via an electrostatic generator to charge q 2. A is briefly touched to B. 3. Steps 1 and 2 are repeated until the charge on B reaches a maximum value. If the...

Homework Statement A spherical conductor of radius 7.00 mm carries a surface charge density of 9.00 μC/mm2. A second hollow, concentric, spherical conductor has an inner radius of 7.09 mm. How much stored energy is there between the spheres? Homework Equations C=Q/V A=4pi(r^2)...

Homework Statement Three uniform spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 0.550 m. Two of the spheres have a mass of 2.85 kg each. The third sphere (mass unknown) is released from rest. Considering only the gravitational forces...

Question: Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.141 N when their center-to-center separation is 67.0 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an...

Homework Statement Two identical small metal spheres with q1 > 0 and |q1| > |q2| attract each other with a force of magnitude 70.2 mN, as shown. The spheres are then brought together until they are touching. At this point, the spheres are in electrical contact so that the charges...

So let's say a sphere has radius R and you want to find the e field where R>r and R is equal to or greater than r. would the e field for R>r just be 0? Wouldn't that also mean it's 0 for R is equal to or greater than r, or does it change because it's EQUAL or greater?

Homework Statement Charge of uniform surface density (4.0 nC/m2) is distributed on a spherical surface (radius = 2.0 cm). What is the total electric flux through a concentric spherical surface with a radius of 4 cm? Homework Equations \Phi = E 4 \pi r^2 = \frac{q}{\epsilon_0}...

Homework Statement Two hard rubber spheres, each of mass m = 15.1 g, are rubbed with fur on a dry day and are then suspended with two insulating strings of length L = 4.90 cm whose support points are a distance d = 2.97 cm from each other as shown in the figure below. During the rubbing...

Homework Statement Two identical conducting spheres, with a radius of 15.0 cm, are separated by a distance of 10 m. What is the charge in each sphere, if the potential of one sphere is +1500 V, and the potential of the other one is -1500 V? Which assumptions did you make? Homework Equations...

Hi I'm a newby and have a project way out of my depth where a wrong calculation will be fatal... I need calculations of : 1.how far a 2500mm and 3000mm sphere of lexan plastic 50mm thick can be submerged in sea water before it will implode/fail (in meters)? See data below. 2.From what...

Homework Statement Find the equations for two spheres that are tangent to the plane x+y-z=3 and x+y+z=9 and the line x=t , y=2t, z=3t passes through its center. Preface: This problem was on a test I took yesterday. My professor handed it back today. The relevant equations and work are what...

Let there be two spheres in free space. Also there are two humans on each of them. Now the spheres move apart and come together again(like a harmonic oscillator), When they move apart , wrt one human the other is moving into lesser grav field and when he comes back he should have aged less...

given to solid half charged sphere Insulators. In which state the mutual net force is bigger: A/B/the same

Homework Statement I'm a bit confused at a single step in a proof. Let \phi \in L^1(\mathbb{R}) \cap C(\mathbb{R}^d) be a function such that for any \omega \in \mathbb{R}^d , \phi(\omega) = \psi(||\omega)|| . That is, the function depends solely on the norm of the vector input, so it is...

Homework Statement 2 Spherical conductors B and C having equal radii and carrying equal charges repel each other with force F. Another conductor A having same radius as B but uncharged is brought into contact with B, and then C and then removed from both. Find the new force of repulsion...

Homework Statement Two insulating spheres having radii 0.22 cm and 0.42 cm, masses 0.16 kg and 0.47 kg, and charges −4 μC and 5 μC are released from rest when their centers are separated by 1 m. How fast is the smaller sphere moving when they collide? Answer in units of m/s...

Moved my question to Intro Physics. Mods feel free to delete.

Homework Statement There are two conducting spheres, one hollow outer sphere which originally had +60nC of charge on it, and a smaller inner sphere enclosed by the hollow outer sphere which contains +20nC of charge. Homework Equations INT(E.DA) = Qenclosed/epsilon0 The Attempt at a...

Hey guys I heard an interesting segment on NPR today regarding a mathematician that received the Abel prize for his work in explaining and proving "the existence of exotic seven-dimensional spheres". http://www.npr.org/2011/03/24/134832727/American-Mathematician-Wins-Abel-Prize Any...

Homework Statement The density of a solid sphere of radius R=10cm and mass M=15kg varies with distance from the center according to the equation p=po*e^(r/R). Determine the constant po. Homework Equations density= mass over volume. The Attempt at a Solution Change density to...

Homework Statement Two plastic spheres each of mass 100.0 mg are suspended from very fine insulating strings of length 85 cm. When equal charges are placed on the spheres, the spheres repel and are in equilibrium when 10 cm apart. (a) What is the charge on each sphere? Homework Equations...

Homework Statement In the figure, r1 = 2 and r2 = 8 cm. Before the conducting spheres are connected by the wire a charge of 6.0×10-7 C is placed on the smaller sphere while the larger sphere is uncharged. Calculate the charge on the smaller sphere after the wire is connected. Assume that the...

Homework Statement Two small metal spheres, A and B, of mass mA = 5.5 g and mB = 9.4 g have equal positive charges of 8 μC. The spheres are connected by a non-conducting string of negligible mass and with length d = 1 m, which is much greater than the radii of the spheres. a) What is the...

asdadsdsadasdasdasd

Homework Statement Consider two metal spheres of radii r1 = R and r2 = 2R, both charged to the same potential V0. a) What is the ratio n1/n2 of their surface charge densities?Homework Equations n(eta) = charge/area Er = -dV/drThe Attempt at a Solution a) n1/n2 = Q/(4*pi*R2) / Q/(16*pi*R2) = 4...

Hi, I'm looking to do random, silly stuff with the Coriolis effect, mainly just confirming what theory predicts, using a simple rotating turntable. My hope in doing that was to use a typical, average consumer camera, film the motion in question from above, with markers for frames of...

Homework Statement Two tiny conducting spheres with a mass of 14 gm each are hanging from non-conducting threads of length 60 cm such that they are 6 cm apart. What is the electrical force between the spheres? Homework Equations f = m*g*tan(theta) The Attempt at a Solution 0.6^2...

Homework Statement See figure attached from problem statement. Homework Equations The Attempt at a Solution I've never really done a question of this type so I'm slow to get going. I'm not sure what is happening when he touches the spheres with the others. He first touches...

Homework Statement This is a long one... Two small spheres with mass m are suspended with insulating threads of length L from a common point. Uncharged, the spheres hang so they touch each other. When given the same charge q they repel each other and hang d distance apart. Assume d is...

Homework Statement Two spherical bodies with equal mass m1=m2=1000 kg are orbiting around a common barycenter in a weightless environment because of the gravitational attraction. A: Show how the frequency of orbiting is related to the distance between two bodies. B: We connect two...

Homework Statement Suppose we are given a metallic sphere with charge Q1 and electric potential V1 and radius a. Then it is surrounded by a metallic spherical shell with charge Q2 and electric potential V2 with inner and outter radius b and c. What is the charge and the electric potential...

Homework Statement A glass sphere of diameter 1.75 cm and density 2.5 g/cm^3 falls through water with a terminal velocity of 0.3m/s. A wooden sphere of the same diameter and density 0.85 g/cm^3 is released from the bottom of a tank of water. Determine the terminal velocity with which the...

Homework Statement In deep space, three spherical masses are held in fixed positions (by rods light compared to the masses) at three corners of a square of side length sqrt(18) m as shown. The masses of the three spheres are m1 = m3 = 1.76×10^9 kg, and m2 = 2.75×10^9 kg. A relatively small...

Homework Statement Two small spheres, each of mass 4.00g, are suspended by light strings 15cm in length. A uniform electric field is applied in the x direction. The spheres have charges equal to -7*10^-8 C and +7*10^-8 C. Determine the electric field that enables the spheres to be in...

Homework Statement The volume of a spherical balloon is increasing at a rate of 4m^3/min. How fast is the surface area increasing when the radius is three meters? Homework Equations V=4/3piR^3 A=4piR^2 The Attempt at a Solution V=s.a.*R/3 dv/dt=d(s.a.R/3)/dt...

Homework Statement Find the volume of a sphere bounded above by the sphere x^2 + y^2 + z^2 = 1 and below by the sphere X^2 + y^2 + (z-1)^2 = 1. Homework Equations The Attempt at a Solution In class we have been doing double integrals with rectangular and polar, but I kinda feel...

X and Y are two identical conducting spheres separated by a distance d. X has a charge of +6µC and Y has a charge of -2µC. The electric force between them is +F (i.e. attractive). The spheres are touched together and are then returned to their original separation d. What is the new value of the...

Homework Statement Two spheres of mass M1 and M2 are arranged one above the other as shown. They are separated by a fraction of a mm. They are released from rest and allowed to fall to the ground, a distance h = 6.5 m below. Mass M2 collides elastically with the ground and then elastically...

Homework Statement Two spheres have equal radius R = 14m and mass m = 1420kg. Their centers are separated a distance 4R. The spheres are released from rest. What will be their speed when they collide? Answer in m/s. Homework Equations U(g) = -G*m1*m2/R The Attempt at a Solution We...

Homework Statement A hollow sphere of radius r_1 is placed at the centre of a larger hollow sphere of radius r_2. Both spheres have a uniformly distributed total charge of +q Find the preassure p(r_2 , q) which acts on the outer sphere. Homework Equations \oint\textbf{E.n}dS = 4\pi k Q p =...

Homework Statement Two spheres, each of radius R and carrying uniform charge densities +\rho and -\rho, respectively, are placed so that they partially overlap. Call the vector from the positive centre to the negative centre \vec{d}. Show that the field in the region of overlap is constant...

Two metal spheres are connected by a long wire with a switch. The radius of the larger sphere (B) is b= 0.20 m and the radius of the smaller sphere (A) is a= 0.080 m. Initially the switch is open and both spheres have zero charge. Then charge Q0 = 1.0 μC is placed on the larger sphere. B)...

Hello, I am constructing a MATLAB script to tightly pack an arbitrary given geometry with spheres of a predefined radius. Coordinates of the vertices of the geometry (a polyhedral model) are given; I am thereby developing an algorithm to plot/track all spheres that fit within the boundaries...

Homework Statement I would really appreciate help understanding how the answer is reached in this question: Setting the scene: three metal sphere's are in fixed positions R (+Q), S (+2Q) and T (+3Q): +Q +2Q +3Q...

I thought this would be a basic physics problem, but I'm not getting the right answer, here's the problem: There are two identical small metal spheres with charges 27.5 μC and −19.119 μC. The distance between them is 8 cm. The spheres are placed in contact then set at their original...

Homework Statement 2 conducting spheres of radius r=0.5cm are connected by a long thin piece of conducting wire of length L=2metres. A charge of 60 micro Coulombs is put onto one of the spheres, find the tension T in the wire. Assume the charge is evenly distributed along the surface of the...

Hello all! I hope this question has not been raised previously, so that I wouldn't exhaust your time in vain, and if it had been, please forgive me, though extensive combing of the web yielded largely nothing. My problem concerns something extremely trivial: the derivation of the electric...

Homework Statement Two small spheres, each of mass 2.00 g, are suspended by light strings 10.0 cm in length. A uniform electric field is applied in the x direction. The spheres have charges equal to -5.00 x 10^-8 C and +5.00 x 10^-8 C. Determine the electric field that enables the spheres to...

Suppose you have two similar particles that have gone through similar half life periods. They each have been reduced to practically infinitely small spheres. Within each sphere is a hollow space. They are both touching during a process in which they are constantly decaying, with two small...

Homework Statement A conducting sphere of radius, R = 5.5 cm with an excess charge of Q = -35.5 nC is surrounded by a concentric, conducting, spherical shell of inner radius, Rin = 9.5 cm and outer radius, Rout = 11.5 cm that carries an excess charge of q = -13.0 nC...