What is Box: Definition and 1000 Discussions

A box (plural: boxes) is a type of container or rectangular prism used for the storage or transportation of its contents. The size of a box may vary, from the very smallest (such as a matchbox) to the size of a large appliance, and can be used for a variety of purposes ranging from the functional to the decorative.
Boxes may be made of a variety of typically durable materials, such as wood and metal, though common non-durable materials include corrugated fiberboard and paperboard. Corrugated metal boxes are commonly used as shipping containers. Boxes made of cardboard can be degraded and therefore are not bad for the environment.
Boxes are typically rectangular in shape with a rectangular cross-section, though a box may also have a square, elongated, circular or oval appearance; boxes may also feature sloped or domed top surfaces, or vertical edges, and are not consistently made in a square fashion. Square and rectangular boxes are still much more common than its other various shapes that it could come in.
Boxes may be closed and shut with flaps, doors, or a separate lid. They can be secured shut with adhesives, tapes, or more decorative or elaborately functional mechanisms, such as a catch, clasp or lock.

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  1. P

    Is this a valid argument about box topology?

    Given the following sequence in the product space R^ω, such that the coordinates of x_n are 1/n, x1 = {1, 1, 1, ...} x2 = {1/2, 1/2, 1/2, ...} x3 = {1/3, 1/3, 1/3, ...} ... the basis in the box topology can be written as ∏(-1/n, 1/n). However, as n becomes infinitely large, the basis...
  2. B

    Bertrand's Box variations

    Hi, I have a question about the famous Bertrand's box paradox. In this puzzle there are three boxes: a box containing two gold coins, a box with two silver coins, and a box with one of each. After choosing a box at random and withdrawing one coin at random that happens to be a gold coin, the...
  3. Demon117

    A box on a moving wedge, on an inclined plane

    Homework Statement The situation is indicated in the diagram below. Block m is at rest, and the block M has an initial velocity upward. Need to find the Lagrangian of this system, and then the Euler-Lagrange equations. The Attempt at a Solution This is the Lagrange that I came up with...
  4. D

    Commpute probability in momentum space of particle in box (after walls are removed)

    Homework Statement A particle is initially in the nth eigenstate of a box of length 2a. Suddenly the walls of the box are completely removed. Calculate the probability to find that the particle has momentum between p and p + dp. Is energy conserved? Homework Equations solution...
  5. H

    Finding the length of a box confining an electron?

    Homework Statement You want to confine an electron and you want to know for certain that the electron's speed is no more than 66 m/s. What is the length of the smallest box in which you can do this? A) 2.8 × 10^-6m B) 1.4 × 10^-6m C) 1.1 × 10^-5m D) 5.5 × 10^-6m Homework Equations...
  6. R

    How Much Sooner Does a Box Reach the Bottom of an Incline Compared to a Disk?

    A disk and a box of equal mass are released from the top of two inclines both of which are a height h above the ground and make an angle θ to the horizontal. Let the radius of the disk be R. How much sooner does the box reach the bottom of the incline than the disk? Express your answer in terms...
  7. J

    Help Finding the Applied Force to move a box?

    Homework Statement A certain force moves a 4-kg box from rest to a velocity of 6 m/s in 3 seconds. If the coefficient of friction between the box and the floor is 0.05, what is the magnitude of the force? Given/Known: mass = 4 kg μ (I'm assuming it means kinetic friction?) = 0.05 time = 3...
  8. S

    Justifying the purchase of a plastic box over plastic bags.

    Hi, I have to calculate the amount of times a 76g polypropylene lunchbox must be used in order to justify its purchase over disposable 2g polyethylene snaplock bags, in terms of the life cycle energy of the two products. However each time the polypropylene box is used it must be washed using...
  9. S

    * * Elastic potential energy with box going up an incline.

    *URGENT* Elastic potential energy with box going up an incline. Homework Statement A spring having a force constant of 240 \frac{N}{m} is placed on a plane inclined at 67° to the horizontal. The spring is compressed 0.40 m and a 2.0 kg mass is placed on it. The coefficient of kinetic friction...
  10. H

    Juntion box wire optimization

    Homework Statement Two isolated farms are 12km apart on a straight country road that runs parallel to the main highway 20km away. The power company decides to run a wire from the highway to the junction box, and from there, wired of equal length to two houses. Where should the junction box...
  11. N

    Calculate the coefficient of friction of a box sliding down a hill?

    Homework Statement A block slides down a hill. The hill has a gentle 20° slope with respect to the horizontal. The block has an initial speed of 6 m/s. If the block comes to a stop after traveling a total distance of 11 m along the slope, what is the coefficient of kinetic friction between the...
  12. A

    Advantages of Using Cast Steel vs. Cast Iron in Gear Box Casings

    Dear All, Can someone give a specific answer to the question 'What is advantage of using Cast steel over Cast Iron in gear box casings.' Or let me put it like this we have changed our specifcation from CI to CS for Gear Box casing(gear boxes for belt conveyors),now we want revert back due...
  13. T

    At what angle will a box start to slide

    Homework Statement So there 2 boxes of nails being lifted at a construction site and one box is 20 kg and the other 10 kg. and the plank tilts towards the heavier box. if the coeficient of static friction is 0.4 draw a FBD for each box of nails and use it to calculate the angle at which...
  14. S

    LaTeX Quantum mechanics: Latex and Box Notation

    Does anyone know how to do box notation in Latex, I've got this: Li \quad \boxed{\uparrow \downarrow} \quad \boxed{\uparrow\;} \qquad 1s 2s But I want the quantum states to appear underneath their respective boxes?
  15. T

    Metal Contact Effect on 1-D particle in a box quantum well

    Dear All, When an electrical contact is made onto the quantum well, how would the energy states be affected ?
  16. R

    Box being pulled across horizontal floor with friction

    Homework Statement Sam is pulling a box of mass 30kg on a horizontal floor with a force FT= <50N, 30N>. The frictional force acting on the box by the floor is 20N. A) By using Newton's second law find the acceleration of the block. B) What is the normal force acting on the block by the...
  17. T

    Speed of box attached to spring

    Homework Statement An 87-g box is attached to a spring with a force constant of 82 N/m. The spring is compressed 11 cm from the equilibrium position and the system is released. (a) What is the speed of the box when the spring is stretched by 7.0 cm passing the equilibrium? (b) What is the...
  18. M

    Multivariable calculus: Maximization of volume of box with constraint

    Homework Statement What is the maximum possible volume of a rectangular box inscribed in a hemisphere of radius R? Assume that one face of the box lies in the planar base of the hemisphere. NOTE: For this problem, we're not allowed to use Lagrange multipliers, since we technically haven't...
  19. A

    Finding the temperature of a box cooled by a peltier device

    Homework Statement I need to find the temperature of the air in a sealed box after 15minutes, that has been cooled by a Peltier device. The set up is as follows: The peltier device is between 2 aluminium blocks of the same Area but depth of 1cm. The aluminium block that is receiving heat...
  20. S

    Find the maximum value of a rectangular box that can be inscribed in an ellipsoid

    "Find the maximum value of a rectangular box that can be inscribed in an ellipsoid.." Homework Statement Find the maximum value of a rectangular box that can be inscribed in an ellipsoid x^2 /4 + y^2 /64 + z^2 /81 = 1 with sides parallel to the coordinate to the coordinate axes...
  21. N

    Two Particles in a Box: Similar Velocities, Momentum, or Kinetic Energy?

    Hello, Say you have a box with two (interacting) particles in them. If you had to venture a guess, what would be most reasonable: that they both have similar velocities, similar momenta or similar kinetic energies? (Or perhaps none of the above?) NB: with "similar" I mean "of comparable...
  22. S

    Find the most economical dimensions of a closed rectangular box [..]

    "Find the most economical dimensions of a closed rectangular box [. . .]" Homework Statement Find the most economical dimensions of a closed rectangular box of volume 8 cubic units if the cost of the material per square unit for (i) the top and bottom is 5, (ii) the front and back is 2 and...
  23. D

    3D printing a gear box, I'm having some problems with the gears getting stuck.

    I'm building a simple 20:1 gearbox prototype with 2 compound gears in a row connecting to a third small gear at the end. My goal is to multiply the rotational speed of the small gear. They are all engaged on a straight line. But for some reason they get stuck most of the time. I'm trying to...
  24. Spinnor

    Charged particle in a box, variable m and e.

    Say we have one spin-less electron in a box in the ground state. Say we have dials on the outside of the box that can vary mass and charge of the spin-less electron. Suppose we start with one spin-less electron in a box with m and e set to as near zero as we please, but not zero. As m and e go...
  25. R

    Schrodinger equation of particle in box

    hi all please help me... I'm learning schrodinger equation of a particle in a 1-dimensional box. I read a quantum mechanics book written by A. C Phillips. the wavefuction is ψ (x,t)= N sin (kx) e-iEt/hbar but when I compared to what I read from a modern physics book written by Beisser. the...
  26. M

    Natural Orbitals for Particles in a Box

    Natural Orbitals for "Particles in a Box" Hi, Are Sine waves the natural orbitals for particles in a box when electron-electron interactions are considered? Or is it only true for non-interacting electrons?
  27. P

    How do you solve degeneracy for 2-D particle in a box?

    Homework Statement What is the degeneracy of the energy level E =65 E0 of the two dimensional particle in a box? Answer Homework Equations E=(h_^2/8mL^2)*(nx^2+ny^2)--> I think we use this eq. The Attempt at a Solution
  28. W

    Box on an inclined surface with Force of Friction and angled applied Force.

    Incline Surface force deleted
  29. D

    MHB Making Jordan Canonical Form: Box in Bottom Lambdas

    I am trying to make this into jordan canonical form. How can I box in the bottom two lambdas? $$ \left[\begin{array}{ccc} \begin{array}{cccc|} \lambda & 1 & 0 & \\ & \lambda & 1 & 0\\ & & \lambda & 1\\ & & & \lambda\\\hline \end{array} & & \\ & \begin{array}{c|} \lambda\\\hline \end{array}...
  30. K

    +2uC and -2uC charges inside a closed gauss box.

    Electric Field inside a closed gauss box. Homework Statement there are +2uC and -2uC charges inside a close "Gauss" box. Which of the following statement is true? Homework Equations given option are: 1) the net electric flux through the box is zero 2) the electric field is zero...
  31. binbagsss

    Deriving Energy Levels of a Particle in a Box

    Deduce the formula giving the energy levels in terms of n for a free particle in a box of length l, using the fact that only stationary waves can be occupied by the particle. - considering stationary waves, λ = 2l/n. (1) 1) Using E=hv/λ= hvn (2) And P = h/λ, v = h/m*λ, v = hn/2ml (3)...
  32. R

    Solving Physics Problems: 2.00 kg Box Moving Right

    Homework Statement A 2.00 kg box is moving to the right with a speed of 9.00 m/s, on a horizontal frictionless surface. At t = 0, a horizontal force is applied to the box. The force is directed to the left and has a magnitude F(t) = 6.00 N A) What distance does the box move from its position...
  33. J

    Dynamics: Finding force exerted on a box traveling down a slope

    Homework Statement This is problem 13.70 from Beer and Johnston Vector Mechanics 9th ed. A 300-g pellet is released from rest at A and slides with friction along the surface shown. Determine the force exerted on the pellet by the surface (a) just before the pellet reaches B, (b)...
  34. B

    Particle in a 3D box (Quantum)

    Homework Statement What are the degeneracies of the first four energy levels for a particle in a 3D box with a=b=1.5c? Homework Equations Exxnynz=h2/8m(nx2/a2+ny2/b2+nz2/c2) For 1st level, the above = 3h2/8m For 2nd level, the above = 6h2/8m For 3rd level, the above = 9h2/8m For 4th level...
  35. A

    Flux through a box? And divergence as a limit?

    Let F=(7z+8)i+2zj+(2z+7)k, and let the point P=(abc), where a, b and c are constants. In this problem we will calculate div F in two different ways, first by using the geometric definition and second by using partial derivatives. (a) Consider a (three-dimensional) box with four of its corners...
  36. F

    Energies of a particle in a box vs. free particle?

    I think I'm trying to reconcile quantum mechanics and special relativity . . . or whatever I'm doing I'm pretty confused. Ok, so the allowed energy states for a particle in a box are E_n = \frac{\hbar^2 \pi^2}{2 m L^2} n^2 . This seems to mean, as you increase the length L, the particle's...
  37. A

    Box on a sphere is nudged- when does it fall off?

    Box on a sphere is nudged-- when does it fall off? Homework Statement A box of mass "m" is placed on a sphere of radius "r". The box is given an extremely small nudge to get it moving. (a) What is the maximum speed the ball may have without leaving the sphere? (b) At what angle from the...
  38. C

    How is the length of a particle in a box polyene determined?

    hello there, i've read in several places the following: if you have a polyene with J double bonds, and taking into account that the average C-C length is aprox 140 pm, then the length of the box is: L=2J*140 And I don't get why 2? the number of bonds is not 2J, but 2J-1, for cases...
  39. C

    A box slides on top of a cart as a force is applied to the cart

    Homework Statement A box of mass = 20 kg rests on top of a cart mass = 30 kg. A force of 200 N is applied to the cart, and the box starts to slide. If the coefficient of kinetic friction is 0.25, what is the time it takes for the box to slide 1.5 m. Both the cart and the box start from...
  40. A

    Angular velocity of a box about a corner

    I am attempting to find the angular velocity of a 3D box that is balanced on one of its corners and allowed to fall under the force of gravity alone at the instant the box impacts. Take the simplest case for example where the box is square on all sides and falls in a way that results in one of...
  41. C

    Polyene and partcile in a box

    Homework Statement Consider a polyene consisting of N double bonds and assume the length of the box in which the π electrons are confined is Na, where a is a suitable lenght. What would the length for hexatriene be? You will need to choose a value for a, and should justify your choice...
  42. H

    Finding the dimensions of a rectangular box

    I'm worried about the process of solving this problem, can anyone help me? We are to make a rectangular box, including the top, that has a volume of 144 cubic inches and for which the base is twice as wide as it is deep. The bottom, which must be strong, is made of a material that is three...
  43. C

    Deflection of a box section beam

    Hi Guys, Please see attached diagram. I have done the maths but i am not convinced. Maybe i have missed something but i have not done structural maths for a while. I am using Force = ma where m= mass and a = 9.81m/s2 I need a deflection value for a mass of 19000kg And a mass for...
  44. Q

    Airflow design for generator box

    I'm making a portable generator box, and I'm currently designing the baffles. The design is quite similar to this: http://media.photobucket.com/image/hush%20box/Audiomechanic/ProjectorHushBox1.png There will be an extra wall on the left and right to accommodate louvres on the exterior...
  45. jinksys

    Classical Mechanics - Box sliding down a slope

    I'm on pg 56 of Thorton's Classical Dynamics book and I see this: Imgur Link Two questions: 1) Where does the 2 go on the second to last equation. 2) Why v0^2 and not v0 on the integral?
  46. S

    Did This Short Film Break the Laws of Physics?

    Just finished this short film. Sorry for the irrelevance but I'm quite excited and would love some feedback! And I do break the laws of physics in parts ;) https://www.youtube.com/watch?v=XlTGtoevyBk Only 2 minutes and you can stop watching if you get bored! Love to hear your thoughts...
  47. X

    Work, box, spring (dynamics)

    Homework Statement See attachments. Homework Equations The Attempt at a Solution In Example 2.11, why is the work for friction -6(10+Δ)? Why is it negative 6? In Example 2.12, again why is the friction -6, and then where did (Δ-d) come from? I thought Δ is the distance the...
  48. A

    Vectors differentiation formulas for Dot and Box Product how?

    Let A ,B and C represent vectors. we have 1) d/dt (A . B) = A. dB/dt + dA/dt .B 2) d/dt [ A . (BxC) ] = A . (Bx dC/dt) + A . ( dB/dt x C) + dA/dt . (B xC) now the problem in these formulas is that we know that Dot product between two vectors and Scalar triple product of vectors is...
  49. M

    Solving for Temperature in a Heat Dissipation Box

    Hi all I need an some help on thermodynamics. I want to install a camera outside of my house, but the camera can only operate between 0 and +55 degrees celsius. Now I want to make an isolating box around it, and wanted to calculate how thick the material of the box should be to allow outside...
  50. U

    Rectangular box tips over (or not)

    Homework Statement A uniform rectangular wood block of mass M, with length b and height a, rests on an incline as shown. The incline and the wood block have a coefficient of static friction, μs. The incline is moved upwards from an angle of zero through an angle θ. At some critical angle the...
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