Cube Definition and 593 Threads

  1. C

    Finding Charge on a Cube Corner

    Homework Statement Given a cube with equal charges on all corners save one, find the charge on the origin. http://img79.imageshack.us/img79/4968/cubekg7.jpg Homework Equations F = kQ1Q2The Attempt at a Solution My current idea is splitting up the magnitude of all charges on the origin into...
  2. I

    Solving Flux of Electric Field through a Cube of Side L = 2m

    Homework Statement A cube of side L = 2m is centered at the origin, with the coordinate axes perpendicular to its faces. Find the flux of the electric field E = (15N/C)i + (27N/C)j + (39N/C)k through each face of the cube Homework Equations phi total = (E * n) delta A The Attempt...
  3. S

    Calculating Angle Between Cube Ribs

    hello , How are you all? look at this question what the magnitude of the angle that between two ribs from the heads of the cube to its center ? I attempted by using cosine law [look at the pecture in attachment] but, Hwo to apply this law on the cube (3D)? any one help me >>and thank you...
  4. A

    Finding Flux of Vector Field F Through Cube S

    Homework Statement I need to find the flux of the vector field F through S (in the pic), when S represent the edges of a cube. My question is, how do I find N (normal)? Do I need to split the curb and to find the flux through each face?Homework Equations The Attempt at a Solution
  5. B

    Entropy of system with ice cube in lake

    An ice cube of 10g -10°C is placed in a lake that is 15°C.Calcule the variation of entropy of the system when the ice cube to reach the thermal balance with the lake. The specific heat of the lake is 0,50cal/g°C.:biggrin:
  6. S

    What are the bound charges of a polarized dielectric cube with no free charges?

    Homework Statement Consider a permanently polarized dielectric cube with the origin of the coordinates at the center of the cube. The cube has a side of length a. The permanent polarization of the dielectric is \vec{P} = c \vec{r}. The vector \vec{r} is the radius vector from the origin of the...
  7. B

    Angle between diagonals of a cube

    Homework Statement Find the acute angle between two diagonals of a cube. Homework Equations N/A The Attempt at a Solution I know that the length of a diagonal of a cube whose side lengths are each one is sqrt(3), so I think it has something to do with that. Other than that, I'm...
  8. S

    ANGAMWhat is the Integral of Cube Root of Cot(x)?

    Hi, I just registered on to the forums, and I have to say it is a very good job. I am currently a senior at High School and aiming for an Engineering Course. While solving some integrals, I got stuck upon this one, and even after a lot of attempt, my friends and I could not solve it. Hence I...
  9. J

    Using a differential to approximate a cube root

    Homework Statement Use the differential dy or L to approximate cubed root 1.03 Homework Equations L(x)= f(a) +f'(a)(x-a) The Attempt at a Solution I have no clue how to start so that would be the most help, do i just find the derivative of cubed root 1.03 first?
  10. C

    (Not a text brainteaser) Speed Solving the Rubik's Cube

    Who else does it? I can solve the cube in under 30 seconds, but I average around 36 seconds. If anyone else does this, please reply. I want to see how many people are better than me. ~Nick
  11. H

    Ice Cube Floating: Help with Bouyancy Question!

    Hi! I'm new to the forums and this is the first that I'm posting something :D! I have a quick question from my textbook that I got wrong. Can someone please help me out! Thanks in advance! Question: An ice cube is floating in a glass of water that is filled entirely to the brim. When the...
  12. K

    Equilibrium problem involving cube root

    Homework Statement The reaction 2Fe3+ + Ni(s) = 2Fe2+ + Ni2+ has equilibrium constant K = 1.5E34. What is the concentration of Fe3+ at equilibrium if a lot of Ni(s) is added to a 0.1 M solution of Fe3+ that initially contains no Fe2+? The Attempt at a Solution K = 4x3/(0.1-2x)2 My...
  13. C

    Express the surface area of a cube

    Homework Statement Express the surface area of a cube as a function of its volume. Homework Equations Cubic Volume=Length x Width x Height (V=Length of side^3) Cubic Surface Area= (Length of side^2)x6 The Attempt at a Solution f(V)=(X^3/X) x 6...sorry, I don't know if I'm on the...
  14. D

    What is the flux through (a) each cube face

    A point particle with charge q is placed at a corner of a cube of edge a . What is the flux through (a) each cube face forming that corner and (b) each of the other cube faces? I tried modelling the problem by positioning the charge such that it is at point (0,0,0) in the x-y-z space. The...
  15. E

    The volume of a cube and a cylinder.

    I was wondering if the formulas for the volume of, for instance, a cube and a cylinder are definitions or if they can be proved. Does anybody know :)?
  16. M

    Solving Heat Transfer in an Aluminum Cube: Find Temperature After t Seconds

    Suppose that I have an aluminum cube with side lengths 10 cm. Suppose that I uniformly and continuously apply a temperature of 60 degrees celcius to one of its sides. The medium surroudning it is air with a temperature of 27 degrees celcius. After t seconds, what is the temperature of the...
  17. B

    What Happens to the Cube's Velocity After Colliding with a Pivoting Rod?

    Homework Statement A cube of mass m slides without friction at a speed vo. It undergoes a perfectly elastic collision with the bottom tip of a rod length d and mass 2m. The rod is pivoted about a frictionless axle through its center, and initially it hangs straight down and is at rest. What...
  18. E

    Volume of a cube versus side length

    Show that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of a cube. I know that surface area= 6l^2(because of the six faces) I know that volume is l^3. How do I relate volume then to edge length
  19. humanino

    Ants Walking Around a Cube: Find Number of Paths of Length N

    Hi, An ant is walking along the edges of a unit cube. The goal is to find the number of paths of length N from one vertex to another. Any path is allowed along the edges, back and forth any number of times.
  20. B

    Conservation of Energy Ice Cube Problem

    Homework Statement A very slippery ice cube slides in a vertical plane around the inside of a smooth, 20 cm diameter horizontal pipe. The ice cube's speed at the bottom of the circle is 3 m/s. a) What is the ice cube's speed at the top? b) Find an algebraic expression for the ice cube's...
  21. M

    Electric flux through one face of the cube.

    A point charge Q = 5.00 µC is located at the center of a cube of side L= 0.120 m. In addition, six other identical point charges having q = -0.50 µC are positioned symmetrically around Q, as shown in Figure P24.19. Determine the electric flux through one face of the cube.
  22. A

    Units of Computing Power: How Much for a 1cm^3 Cube?

    I often hear about how solving some problem would require a computer "the size of the known universe", or something like that. Is there a "unit" of computing power? How many units of this power would say a 1cm^3 cube of hot gas have? In other words assuming you wanted to simulate the actual...
  23. B

    Melting Ice Cube: Time Needed for 3-Ton Ice Cube with Golden Bars

    Help...melting ice cube. Homework Statement How much time is needed for an ice cube ((1.5x1.5x1.5)m, 3tons of mass with two golden bars within an ice cube to melt. Average temerature of the month is 6.2 ˙C Thank you very much!
  24. N

    Building a Slingshot in a 1m Cube - Grade 12 Physics Project

    Well... I am in grade 12 Physics and we were asked to make a Slingshot to fit within a 1 meter cube. If anyone has any ideas or know any websites with plans to making one.. it will be very helpful Thank you.
  25. E

    LaTeX How do you get a cube, fourth, fifth root in latex?

    [SOLVED] latex question How do you get a cube, fourth, fifth root in latex? I mean how do you get a little 3 to appear in the upper left next to the square root sign?
  26. T

    Calaculate Mass of Cube submerged in oil and water

    [SOLVED] Calaculate Mass of Cube submerged in oil and water Homework Statement A cube is submerged in water and oil the oil is on top, and forms a layer 10cm thick. the water is underneath and forms another layer 10cm thick. the cube has sides of 10.2cm, and has 2.3cm below the oil water...
  27. H

    Mastering the Rubik's Cube: Advanced Strategies and Speed Cubing Techniques

    Some tutorials that helped me learn the Rubik's Cube: http://sciencehack.com/pages/page015 I'd like more complex ones though with a focus on strategy and speed cubing. Any ideas?
  28. S

    How Can We Visualize the Unit Cube in \( \mathbb{R}^4 \)?

    I'm having trouble visualizing [tex]\ R^{4}[/itex](a domain of reals in four dimensions). 1. Describe a procedure in given 3 vectors, finds a fourth vector perpendicular to those three. Explain why we can use it in analogous fashion to the normal vector to a plane in [tex]\ R^{3}[/itex]. Here...
  29. Z

    Solving the Gaussian Cube Question: Understanding E = 7.35i - 5.63(y2 + 9.74)j

    http://img255.imageshack.us/img255/8083/47252155dr7.jpg Okay I totally don't understand this problem at all. There is an example in the book also, but I just don't understand how to do it. Like the whole concept of how the E is written. I don't understand what this means: E = 7.35i - 5.63(y2...
  30. D

    Solving Physics Lab Cube Sliding Problem

    In a physics lab, a small cube slides down a frictionless incline as shown, and collides at the bottom (where it is now moving horizontally) with a cube that is only one-half its mass. If the incline is 30 CM high and the table is 90 CM off the floor. where does each cube land? the teacher...
  31. J

    What is the electric flux through the top surface of the cube?

    Homework Statement A 3 nC point charge is at the center of 5 m x 5 m x 5 m cube. What is the electric flux through the top surface of the cube? Homework Equations E=kq/r^2 φ = E.A The Attempt at a Solution E = (8.99*109)(3*10-9) / 2.52 = 4.3152 N/C φ = E.A = (4.3152)(5*5) =...
  32. B

    Flux of a Cube with a Corner Charge

    Homework Statement A point charge is placed at a corner of a cube. What is the net flux through all faces of the cube? Homework Equations The Attempt at a Solution \phi = \frac{q}{\epsilon_0} or perhaps \phi = \frac{q}{8\epsilon_0} The latter solution is based on the...
  33. N

    Can You Determine the Volume or Mass of a Submerged Cube Using a Scale?

    No question that it's simple, but for some reason I can't fully understand this. I stumbled upon this problem asking "If we put a glass of water on a digital weighing scale and we reset the scale to zero, after which we submerge a cube of an unknown material in the water attached to a string...
  34. C

    Why does a hot or warm ice cube tray freeze quicker than one at 33*F?

    I have the answer, it is because the refrigerator is not in freeizng mode when the cold ice cube tray is placed inside. When the warm tray of water is placed inside then the temperature lowers considerably and the thermostat switches the freezer into freezer mode. A common complication I...
  35. B

    Volume of a cube moving relativisticly fast

    The volume of a cube is Vo when it is at rest. Show that the volume of the cube when it is moving relativisticly fast is given by relativistic velocity = rest velocity*square root of (1-(v/c)squared)
  36. R

    Calculating Depth of Water in Floating Cube

    [b]1. A hollow cubical box is .30 m. This box is floating in a lake 1/3 of its height beneath the surface. The walls of the box have neglibe thickness. Water is poured into box. what is the depth of the water in the box at the instant the box begins to sink? pwater= 1000kg/m3 Fb= Pfluid G V...
  37. W

    Are all configurations of a Rubik's cube solvable?

    Obviously I am not speaking of an already solved Rubik's cube which has gone under a series of changes, since undoing every change backwards constitutes itself in a solution. My question is whether or not all configurations are solvable per se, that is if the distribution of the colored squares...
  38. S

    How Does Rotational Motion Affect a Cube and Pulley System?

    A cube of mass M = 500 g and side length 30 mm is free to spin on an axis through the center of one face. A massless pulley on this axis has a diameter of 2r = 10 mm. A weight of m = 50 g is hung from a string wrapped around the pulley. The assembly is released from rest. (a) Find the time...
  39. P

    Find the length of a side of a cube

    trying to figure this out, but am confused on the steps please help thank you The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places.
  40. Saladsamurai

    Cube suspended in liquid - find tension

    a cube with edge length L=.600m and mass 450kg is suspended by a rope in an open tank of liquid of density 1030 kg/m^3. The top of the cube is L/2 deep in the tank. Find the tension in the rope. Vol=.600^3=.216 Area of top side of cube=.6^2=.36 \sum F=0 \Rightarrow...
  41. F

    Partitioning a Cube into Unequal Size Cubes: Can it be Done?

    Can you describe any partition of a cube into smaller cubes that are not the same size? (I know a few answers to this one...) It is easy to think of 8 identical cubes being combined to make one big cube. But, if the cubes don't have to be the same size: is there another way to do it? (I think...
  42. C

    What is the Zero Density Cube?

    I may be posting this in the wrong section: A while ago I was reading a collection of articles on Wikipedia and I stumbled upon this article that was pretty interesting. It was about a cube, on each face of the cube a small cube is cut out. It is done many more times. The next thing I...
  43. C

    Related rates and cube with a sphere inside of it

    I was pondering a question today. If you have a cube with a sphere inside of it, and the sphere is growing at 2 m/s. The cube itself is expanding at 1 m/s. If the cube is 5 x 5 x 5, and the sphere has a radius of 2. Is it possible to calculate when the sphere and the cube will be expanding...
  44. C

    Electric flux through gaussian cube

    Homework Statement I have a cube with four faces parallel to the field and two perpendicular. The field is non uniform, given by E = 3 + 2x^2 in the +x direction. The Attempt at a Solution So I get \phi = \int \vec{E} \cdot d\vec{A} = \int EdA = A \int E = A \int (3+2x^2) But how do I...
  45. T

    Proving that cube root 7 is irrational

    Hi guys, How would you prove that \sqrt[3]{7} is irrational without using the unique factorization thrm? I tried proving that \sqrt[3]{7} is rational but it didn't seem to get me anywhere... Thanks EDIT: Looks like I posted this in the wrong forum.
  46. B

    Find the zeros: Includes a cube

    Homework Statement Find the zeros of the function algebraically. Homework Equations f(x) = 4x^3 - 24x^2 - x + 6The Attempt at a Solution If all quantities had an x in them, I'd just factor out and x, and treat it as a quadratic. But that freaking 6 is ruining my plan and I'm stuck.
  47. M

    How Many Permutations Can a 1000x1000x1000 and 5-Dimensional Rubik's Cube Have?

    Rubik's cube permutations I suck with really big numbers, so that's where you guys come in :) I basically want to know the number of permutations a 1000x1000x1000 Rubik's cube has, as well as a 5x5x5x5x5 Rubik's cube. Yes, a 5-dimensional one. I've been reading these a formula's, and...
  48. Math Jeans

    The time cube: this guy is for real

    Some of my friends showed me a website where it is just one person ranting about this thing called a "Time Cube". He apparently claims that if we don't believe in the Time Cube, we will all result to cannibalism. This person is real, and if you watch an interview with him he is way to old to be...
  49. P

    How Does Gauss's Law Apply to the Flux Through a Cube Near a Charged Sphere?

    I have the homework problem below with which I'm totally stumped. Can anyone out there help me out? A small cube of volume 9.0 cm^3 is 0.30 cm from a metal sphere that has charge 3.00 coulombs. If the cube is empty, what is the total flux through it?
  50. C

    What is the height of a 91 lbs. gold cube?

    Homework Statement Determine the height of a 91 lbs. gold cube. Homework Equations I'm not really sure which equations are relevant here... this is an Honors Physics problem for my girlfriend, but she asked me to attempt and I'm in Physics. Anyways, I thought of and only found a few I...
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