Cube Definition and 593 Threads

Hi, I have to write a spacetime line element for the shape of a cube of cosmological dimensions. This cube is expanding like this: i)With time, the cube becomes elongated along the z-axis, and the square x-y shape doesn't change. ii)The line element must be spatially homogeneus. (I don't...

Homework Statement We completed a lab with the following information Substance Mass(g) Starting temperature (°C) Final Temperature (°C) Ice cube 15.55 0 12 Water 151.25 21 12 Now...

A spherical or cylindrical object would roll on a plane. However,object with other shapes(e.g. A cube or a retangular object) would slide on a plane. Why?

Hello, If the distance between carbon atoms is given as 3A, will a 12 gr carbon cube have a volume of (6.022E23)*(27E-24)cm^3?

Power Equation?? Homework Statement An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 33200 Joules to melt it. How long does it take for the ice cube to melt? Homework Equations P = W / T The Attempt at a Solution Ok so I...

How can I plot a 3d cube with x,y,z directional vectors going through it? Mathematica or Matlab or Tikz package Latex

Homework Statement A cube of aluminum is suspended deep in the ocean. Will it yield if it is placed deeper and deeper in the ocean? Homework Equations The Attempt at a Solution I guess that it will yield since the pressure from water will be stronger as it goes deeper...

Homework Statement Eight point charges of 1ηC each are located at the corners of a cube in free space that is 1m on a side.Find |E| at the centre of a)the cube b)a face c)an edge. Can someone please help me with the solution of this problem??.. Homework Equations The Attempt at a...

Homework Statement Homework Equations \phi = \vec{E} * A * d phi is the electric flux E is the Electric field from vector form A is the area and A = \pir^{2} d is the distance on the axis (x, y, or z) The Attempt at a Solution s1 = s3 = 0 *Since they are along the y-axis...

Homework Statement assuming the path of the ball is linear, if the ball collides with the cube, I want to find which side the cube the ball collided with. this is a discreet problem, the ball's position and velocity are always known. the cube's size is bigger than the ball's size in the way...

Homework Statement I have found this video where there is this problem: Find the cube root of 1 Homework Equations I have found this video: Where from 8:02 to the end she solves this problem.The Attempt at a Solution My question is why is she making such a big fuss about this? Is the...

If we have a unit circle within a square s.t. the square touches the circle in 4 places then the biggest gap we can find is just √2 - 1. Doing a similar thing with a sphere in a cube we get √3 - 1 I've heard the n-dimensional analogue is √n - 1. Which is crazy as it means the gap is bigger...

Homework Statement A uniform electric field with a magnitude of 600 N/C is shown pointing in the y-z plane, at 30 degrees from the +y axis and at 60 degrees from the +z axis. This electric field passes through a cube, with each side of length 2.0cm and oriented with faces in the +x, +y, and +z...

Homework Statement Solve the equation: \sqrt[3]{x+1}+\sqrt[3]{x+2}+\sqrt[3]{x+3}=0 The Attempt at a Solution What I did was move (x+3)^(1/3) to the other side, cube both sides and when I put them equal to 0 again, I managed to factor (x+2)^(1/3) out of it giving one solution x=-2...

Consider a floating ice cube in a glass of water. I know that the weight of the ice cube is equal to the weight of the water displaced. This would mean that if the ice cube melted, the volume of water melted would be less than the volume of the ice cube, because ice has a lower density than...

Imagine a cube with side lengths 'r', (like a dice) and we put point charges of charge Q at each corner of the cube. Issues with 2 subsections of this problem... First: What is the total electrostatic potential energy of the arrangement? Second: Add a charge -CQ to the center of the cube for...

Homework Statement Find the minimum distance between the surface of a sphere with radius 3 with center (2,1,2) and a cube with length 6 with center (12,11,12) Homework Equations sphere formula: (x-x0)^2+(y-y0)^2+(z-z0)^2=r^2 The Attempt at a Solution Don't know how to attempt this...

If I have a cube with a charge q at each corner, but the problem doesn't say anything about the cube being grounded. Can I assume that the total potential energy will be a linear combination of the individual six sides?

Can solving Rubik's Cube be learned? I see people solving the cube in under 30 seconds.You think these people have some inborn talent in spatial rotation recognition that only geniuses possess. If someone were to give me a cube that had to be solved in 24 hours to receive a million dollar...

Homework Statement The problem and picture are attached in an attachment A cube consisting of identical wires, each of resistance R, is put across a line with voltage V (Fig. 28-44). What is the equivalent resistance of the cube? What is the current in each of the wires? Homework...

Homework Statement A point charge Q is placed at the center of a cube of side L . What is the flux through one face of the cube? Express your answer in terms of some or all of the variables Q ,L and appropriate constants. The Attempt at a Solution I'm getting Q/6e0 , is this...

Hi, Could someone please explain what happens when an ice cube is put into a glass of hot water? I'm talking about the phase change and how the water gets cold. Thanks!

Homework Statement Find all solutions for the following system: X^2-xy+2y^2=8 X^3-xy^2=0 2. Questions What steps could I take to solve this? I've tried just about everything I can think of. I don't know if I should solve the cubic equation for a variable and plug it in or what. I am...

How does equivalent resistance from D to B is 3/4 R ?

Homework Statement A large cube of glass has a metal reflector on one face and water on an adjoining face (the figure). A light beam strikes the reflector, as shown. You observe that as you gradually increase the angle of the light beam, if Theta is greater than 58.7 no light enters the water...

A quick question... what is the resultant expression if you multiply the cubic formula by 3a, add +b and then cube the entire thing? Much appreciated

Homework Statement .019 Kg icecube @ unknown temperature (In deg C) Placed in 200 mL (.2 KG) water at 35 C. After melting, water is at 22.4 C. Find initial temperature of ice using conservation of energy. Homework Equations I've done the math a ton of times and keep getting -60 C...

Hi, A sphere and a cube full at 99.99% with water are put in symetrical position to the center C. Sphere at right and cube at left for example. When they turn together at the center C, the centripetal forces are not the same. The cube has not water all around faces, especially the face closed...

A charge q is kept at the centre O of cube of length L(ABCDEF). Another charge q is kept at a distacne L from the centre O. Find the flux through face ABCD Well the flux through whole of the cube will remain unchanged that is q/ε. But now since we have another charge q outisde the cube we...

Homework Statement There is a region of space containing a uniform electric field of strength E. A neutral conducting cube with side length s is placed into this field. The cube is aligned with the field. You may assume that the electric field outside the cube is unaffected by any changes that...

Homework Statement For a particular material the density varies with position as ρ(r)=x2yz Find the total mass of a unit cube with one edge in the origin made by a such a material.Homework Equations We have dm = ρ(r)dV = ρ(r)dxdydz So we want to calculate the volume integral (all from 0 to 1)...

Homework Statement So we are given an ice cube of unknown mass, and the goal is to determine the mass after putting it in the calorimeter. We know the initial mass of the warm water. Is this the only way to solve the ice mass? I looked it up and the purple font is my values. Please the...

Homework Statement Problem 13.7.17 in Mathematical Methods in Physical Sciences: Find the wavefunction of a particle in a cube, referring to 13.3.6. 0 < x < L, 0 < y < L, 0 < z < L 13.3.6: Find the wavefunction of a particle in a square 0 < x < L, 0 < y < L. Assume V = 0...

A point charge 6.50 nC is at the center of a cube with sides of length 0.260 m. PART A: What is the electric flux through the surface of the cube? PART B: What is the electric flux through one of the six faces of the cube? ATTEMPT: A) Total flux enclosed by the cube = Q / eo...

Hello Friends, I have a question of calculating a cube root of large number like 24 digit number. I calculated by means of Wolfram but I want to try it myself on paper. Is there a method such as Calculus or Algebraic to find the cube root? Thank you. P.S. I want to use the method for...

Homework Statement To show that \int_{0}^ \frac{\pi}{2}\sqrt{cos\theta}sin^3(\theta) d\theta = 8/21 The Attempt at a Solution The above expression was simplified as \int_{0}^ \frac{\pi}{2}\sqrt{cos\theta}sin^2(\theta) sin(\theta) d\theta \int_{0}^...

number of atoms in FCC gold cube with only the radius given! 1)it is given that the radius of a gold atom sphere is 144.2 pm, gold is packed in an FCC manner Give the ratio Ns/Nv as a function of L (gold cube side) and a parameter of FCC latice, knowing that Ns is the number of surface...

Homework Statement The volume of a cube is 8, how long is its main diagonal (the line segment joining the two farthest corners)? Homework Equations Pythagorean theorem The Attempt at a Solution I have no idea how to determine the length of the line segment between the two...

Hello i need help in this question it is given that the radius of a gold atom sphere is 144.2 pm, gold is packed in an FCC manner Give the ratio Ns/Nv as a function of L (gold cube side) and a parameter of FCC latice, knowing that Ns is the number of surface atoms and Nv is the...

A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is completely immersed in the water, the force on the bottom of the vessel in contact with the cube : Ans: Will remain the same. But how? Won't the force exerted in the second case,i.e when the...

A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is completely immersed in the water, the force on the bottom of the vessel in contact with the cube : Ans: Will remain the same. But how? Won't object exert an extra force which will be...

Homework Statement If you submerge a 3cm cube of ice in cup of water, with what force will the ice float up to the surface Homework Equations ρgV, F=ma, ρgh The Attempt at a Solution I thought to draw free body diagram of vertical forces with mg of ice cube and ρicegAhtop surface...

Homework Statement Find the moment of Inertia of a cube (mass M, length L) around an axis going through one of the edges. Homework Equations I=Ʃmr2 The Attempt at a Solution Well I imagined the cube is formed of infinitely many square plates. The width of the square plate is dL...

Homework Statement Twelve resistors, each one with a resistance of R ohms, form a cube (see attached figure). Find R17, the equivalent resistance of a diagonal of the cube. (The first attached picture was scanned from the book "Physics" by Halliday, Resnick and Krane, 4th edition.)...

Homework Statement An insulating cube of edge a has a uniform charge density p. The charge is zero everywhere outside the cube. The potential at an infinite distance from the cube is taken to be zero. If the potential at the center of the cube is Vo, find the potential at a corner of the cube...

Homework Statement Find the Green's Function for the Helmholtz Eqn in the cube 0≤x,y,z≤L by solving the equation: \nabla 2 u+k 2 u=δ(x-x') with u=0 on the surface of the cube This is problem 9-4 in Mathews and Walker Mathematical Methods of Physics Homework Equations Sines, they have the...

Homework Statement A cube of aluminum is 20 cm on edge. Aluminum has a density 2.7 times that of water (1 g/cm3) and a specific heat 0.217 times that of water (1 cal/g·C). The heat in calories needed to raise the temperature of the cube from 20°C to 30°C is about: Homework Equations...

a,b,c are integers not all equal and w is the cube root of unity then minimum value of |a+bw+cw2|(w is not equals one). My answer |a+bw+cw2|<=|a|+|bw|+|cw2| |a|+|bw|+|cw2|=a+b+c. so at lest one value of |a+bw+cw2| will smaller than the minimum value of a+b+c. for integers this minimum...

Homework Statement I'm trying to calculate the kinetic energy of a rotating cube about one of its face diagonals, using the moment of inertia tensor for the cube rotating around one of its corners.Homework Equations T=\frac{1}{2}\omega\cdotL L=I\omega (I'm not sure how to signify vectors in...

Hi, I want to charectize the function whose cube is smooth from R to R. For example x^1/3 is smooth and olsa any polynomial but how can i charectrize it? Thanks