Cube Definition and 593 Threads

A cube of polished steel sits on top of a highly polished and waxed hemisphere of polycarbonate (radius 92 cm). For these two surfaces interacting, the coefficient of kinetic friction is the same as the coefficient of static friction. The cube is given a very small 'nudge' perpendicular to the...

Can you solve the volume of "a cube" with unequal heights? I have a challenge for someone (which I plan on working on this weekend myself when I have free time from my homework). Can you calculate the volume of a cube-like shape with four different heights and with perfect square base if you...

Homework Statement The electric flux through each face of a 4.50m x 4.50m x 4.50m cube is 130Nm^2/C . How much charge is inside the cube? Homework Equations Electric Flux = E*A = Qin/ε The Attempt at a Solution I know electric flux is given, 130Nm^2/C and I'm trying to solve for...

Hi, I'm new on this forum. We have some science days in our school, and there is a big 1.5x1.5x1.5m ice cube melting. There is a contest who will guess the aprox. time that it takes to melt. I think it will be more than two days, but I would like to get a more concrete answer somehow... :)...

1. The electric field in the region of space shown is given by E=(8i + 2yj) N/C where y is in m. A) What is the magnitude of the electric flux through each face of the cube. (3.0 M sides, 2.0m from yz axis)? B) Is there any charge in the cube? 2. E * da 3. To be honest I have...

Suppose 27 identical cubes are glued together to form a cubical stack. If one of the small cubes is omitted, four distinct shapes are possible; one in which the omitted cube is at a corner of the stack, one in which it is at the middle of an edge of the stack, one in which it is at the middle of...

Homework Statement Suppose we there is a cube (a x a x a) made up of 8 protons. 1 at each point What is the Electric Potential Energy Homework Equations U=q1*q1/4*pi*epsilon_0*r The Attempt at a Solution *U12 = Potential Energy to bring 2 to 1* I'm aware of how to do the...

Homework Statement An E-field is given as \vec{E}y = b\sqrt{y}\hat{j} V/m. Find the net flux through a cube with vertex at (0, a, 0) and side lengths a. (A picture is attached, but it is essentially the cube that would typically be at the origin, shifted along the y-axis by a units) (You can...

Homework Statement So I need to find the total voltage across the current source. Looking at the attachment, I took front square: B_______C ......|.....| ......|.....| ......A_______D back square: E_______H ......|.....| ......|.....| ......F_______G Homework Equations node analysisThe...

Hi, I have no knowledge of Calculus. I am actually studying Computer Science. One of the exercises in the textbook I am using ("Python Programming" by John Zelle) suggests that the answer to the problem can be solved either through a simple simulation program or through calculus. I am still...

Homework Statement Interstellar space, far from any stars, is filled with a very low density of hydrogen atoms (H, not ). The number density is about and the temperature is about 3 K. What is the edge length L of an LxLxL cube of gas with 1.0 J of thermal energy? I found: P =...

Homework Statement I attached a picture to make it easier... Homework Equations Coulomb's Law: F=k(q1*q2)/(r)^2 a^2+b^2=c^2 Charge properties The Attempt at a Solution I uploaded a picture of one of the cleaner sheets of work I used so far...Basically, I suppose I'm at a...

Hi, Is there any way to analytically calculate the perturbation of a uniform electrostatic field by a dielectric cube. I know a solution exists for dielectric spheres but I haven't been able to come across the solution, when dealing with a cube. Ohh.. and I'm assuming the simplest case...

What are the benefits of solving a rubiks cube? I know chess is good for Logic, Concentration, Focus, Visualization and all that. However I don't have a chess board but do have a rubiks cube. Does the rubiks cube also help in those areas? More so or less so?

I would like to compile a short list of inverse-exponent force magnitude fall-off laws for several simple geometries for material made of monopoles and for material made of parallel dipoles (of negligible length). Far field force for any two objects is, of course, proportional to 1/r^2 for...

Imagine a cube wrapped in Latin squares and try to solve the following puzzles. Please be aware the symbols at the borders are shared between neighboring cube's sides. Let me know if you like it or not. This is rather straightforward: This is a bit harder

Lets us say I have a cube and I apply to a face of the cube a heat flux of 100 watt/m^2. Lets us say i divide the face of the cube into say 10 elements (area of each face of the element is 1 m^2). What will be the flux on each element , will it also be 100 watt/m^2? Sorry for a...

Homework Statement A cube of gold (resistivity ?R = 2.44 10-8 O m, density ?D = 1.93 104 kg / m3, and specific heat c = 129 J / kg °C) that is 3.5 mm on a side is connected across the terminals of a 40-µF capacitor that initially has a potential difference of 340.0 V between its plates...

A wire is broken down into 12 pieces so that each piece is of resistance 1R. The pieces are joined together to form a cube. What would be the resistance at the diagnols of the 4 faces of the cube?

Homework Statement The mass of the piece of ice is 0.25kg. Heated by an electric heater (assume there is no loss of energy to the surroundings) Started at -30°C at 0seconds After 150s the ice cube is -10°C Homework Equations Q=mL_{f} \Deltat=Q/P The Attempt at a Solution...

I'm only interested in the 2d representation of this, as I will be applying whatever I learn to a physics engine Anyways, I know that a block resting on a flat surface will have a normal force acting on it equal to its weight However, I'm not interested in gravity But, say a block comes...

I put 1 litre of ice cube to the micro-oven which is age is about 30 years. The shape of the ice cube was a little bit circular. I set the power of the micro to the maximum. There were continuous white electric shocks inside the micro. The ice cube contained a little fish which contained some...

Hi. I am trying to calculate the thermal stresses in a steel cube which is placed inside another steel cube of bigger dimensions, supported by steel bars at the base and sides. Both the cubes are in contact with fluids at different temperatures. Can someone please suggest the methodology as i...

Parallel axis theorem, cube! (Confirm) // Idisp = Icenter + mass[ (RdotR)*I - RcrossR ] So to test it out, I create a long box at the origin, and then a smaller box, half its width, so I can offset it along the x axis, and times it by 2, so it should equal the inertia tensor of the long...

My answer is 12.9 grams, and the correct answer is supposed to be 11.9 grams. I cannot figure out why? Note. the answer i got is 12.9, and not 11.06. I know for this situation, the heat absorbed by the ice equals the heat lost by the water and aluminum, and since there is a phase change from a...

I'm trying to find out what the rotation group of a cube is. It seems natural to view it as a subgroup of S_{6}, because any rotation is just a permutation of the faces of the cube. The sources I've seen say that the rotation group of a cube is isomorphic to S_{4}, because rotations can be...

Homework Statement A block of wood, of side 2a and mass M is on an horizontal plane. When it turns, it does it over the edge AB. A bullet of mass m<<M and velocity v hits on the opposite face to ABCD, at a height of 4/3*a. The bullets gets stuck on the block. Find the minimum value of v so...

Homework Statement Evaluate the surface integral. For closed surfaces, use a positive orientation. \mathbf{F} = <x,2y,3z> S is a cube with vertices <\pm1, \pm1,\pm1> Solution [PLAIN]http://img34.imageshack.us/img34/9730/unledjfx.jpg The Attempt at a Solution I understand that my book...

Hi there, If A is unitary I understand that it obeys AA+=1 because A-1=A+. Why does A3=1? The explanation simply says that "A just permutes the basis vectors".. It then goes on to say that since A3=1, then eigenvalue a3=1 also, which are 1, ei.2pi.theta/3, and ei.4pi.theta/3. This...

I'm not sure this question goes here, but I'll post anyway. Is it possible to express the problem of solving Rubik's cube in mathematical terms? Furthermore, is there a definite strategy to solve it?

Homework Statement Dear All, I am having problems understanding how to deal with related rates. The problem is the following: A solid 400gm metal cube of size length 10cm expands uniformly when heated. If the length of its side expand at 0.5cm(hr), find the rate at which, after 5...

Homework Statement Given that the equation x^{3} + ax^{2} + bx + c = 0 has the roots r_{1}, r_{2}, r_{3}, develop formulae for r_{1} + r_{2} + r_{3}, r_{1}r_{2}+r_{1}r_{3}+r_{2}r_{3}, r_{1}r_{2}r_{3} Homework Equations The Attempt at a Solution Not really sure where to...

Homework Statement Hello! I am going to do a demonstration involving the Leslie's cube to demonstrate the emissivity of a thermal radiation from different surfaces. I have been reading some about black body radiation which has emissivity = 1 but this is not the case. Leslie's cube has 4...

Homework Statement an ice cube is melted in water which is continuously stirred to be at a constant temperature of 0 degrees. the stirring is gentle enough so the work done is negligible. my question is why in this case does the heat come from the air to melt the ice cube and not the...

I came up with a math research topic dealing with fluid dynamics, but I do not understand fluid dynamics much, so I would like to know what happens in the following situation: A cube is on the bottom surface of a room. The cube is to be filled with a certain amount of fluid, and the room is...

Find all natural numbers n such that n equals the cube of the sum of its digits.

1. Find the cube roots of the complex number 8+8i and plot them on an Argand diagram Thats the problem, I've had a go at the solution and came up with 3 solutions using the \sqrt[n]{r}*(cos(\frac{\theta+2\pi*k}{n})+isin(\frac{\theta+2\pi*k}{n})), but the answers (roots) I get, I can't plot it...

Homework Statement A wood cube .30m on each side has a density of 700 kg/m^3 and floats levelly in water. (a) What is the distance from the top of the wood to the water surface? (b) What mass has to be placed on top of the wood so that its top is just at the water level. Homework...

Homework Statement Find the moment of inertia of a cube, all edges length A, with mass M through the centre ( through mid point of 2 opposite sides) Homework Equations I = integral( r^2 dm dm = density x volume where volume of a slice ( thin) square = AxAxdx = A^2 dx = p A^2...

Homework Statement Let f(x)=x^{1/3} show that it is uniform continuous on the Real metric space. Homework Equations By def. of uniform continuity \forall\epsilon>0 \exists\delta>0 s.t for \forall x,y\in\Re where |x-y|<\delta implies |f(x)-f(y)|< \epsilon The Attempt at a Solution...

Does the magnetic field increase linearly with the number of magnets? For example, will 8 1/2 inch neodynium cubes have the same strength as a 1 inch cube? Thanks in advance

Hello. Has anybody ever drawn an 11-dimensional cube (I mean, representation of 11-D cube in 2D)? Or does anybody have a picture of it? Thanks.

Homework Statement A surface in the shape of a cube with edge lengths a = 2.7 m is oriented in an x-y-z coordinate system so that the top and bottom faces are parallel to the x-y plane, the left and right faces are parallel to the x-z plane, and the front and back faces are parallel to the y-z...

Homework Statement a)A charge Q=10nC is placed at the origin, which is the centre of a cube with side lengths a=1cm whose faces are perpendicular to the x,y and z axis. What is the total flux through the box and what is the average of the perpendicular component of the electric field on the...

Prove that cube root of 6 irrational. Solution: I am trying to prove by contradiction. Assume cube root 6 is rational. Then let cube root 6 = a/b ( a & b are co-prime and b not = 0) Cubing both sides : 6=a^3/b^3 a^3 = 6b^3 a^3 =...

Homework Statement There's a charge, not at the center of a grounded cube. Find the potential in the cube. Homework Equations The Attempt at a Solution I'm really just looking for a place to start. I should end up with some kind of series, but I don't know if I should be doing...

Homework Statement A 10nC point charge is at the center of a 2mx2mx2m. What is the electric flux through the top surface of the cube? Homework Equations int(EA) = (Qin)/(ε0) The Attempt at a Solution int(EA) = EA + EA + EA + EA + EA + EA = 6EA A = 4m^2 Qin = 10nC ε0 =...

Homework Statement A cube, placed in a region of electric field, is oriented such that one of its corners is at the origin and its edges are parallel to the x, y, and z axes as shown to the left. The length of each of its edges is 1.1 m. (a) What is the flux through the cube if the electric...

I'm using my nintendo wii for my gamecube games and I just read in the maual that it's ok to remove the panels on the side to plug in the memory card and the controler if the system is horazontal whitch mine is I never done that before and I was woundering if it would hurt my system the maual...

Homework Statement A cube has an edge length of 2.0m. At each corner there is a different spherical mass. The masses are 1kg, 2kg, 3kg, 4kg, etc. u to 8kg. They Coordinate system: 1kg is at the origin and the 4kg, 2kg, and 8kg masses lie on the positive x, y, and z axis respectively. What...