Minimum Definition and 1000 Threads

Homework Statement Ramon has a coherent light source with wavelength 554 nm. He wishes to send light through a double slit with slit separation of 1.5 mm to a screen 90 cm away. What is the minimum width of the screen if Ramon wants to display five interference maxima? Homework...

Homework Statement A transparent film (n = 1.5) is deposited on a glass lens (n = 1.65) to form a nonreflective coating. What is the minimum thickness that would minimize reflection of light with wavelength 500 nm in air? Homework Equations 2nt = mλ n = refractive index of film t =...

Homework Statement Minimum Angular Speed to start SLIPPING BEFORE ROLLING WITHOUT SLIPPING. Homework Equations A cylinder of mass M with radius r is given an angular speed of an w about an axis, parallel to its length , which passes through its centre. The cylinder is gently lowered onto...

1) A cardboard box of 32in^3 volume with a square base and open top is to be constructed. Find the minimum area of cardboard needed. Since it has a square base, length and width must be the same, variable b for base. So volume could be written as: hb^2=32 and surface area as b^2+4bh=min...

Question: Cost of producing cylindrical can determined by materials used for wall and end pieces. If end pieces are 3 times as expensive per cm2 as the wall, find dimensions (to nearest millimeter) to make a can at minimal cost with volume of 600 cm3. Relevant equations: a) V=600cm3=[pi]r2h b)...

Homework Statement FIND THE ABSOLUTE MINIMUM AND ABSOLUTE MAXIMUM OF: f(x) = 9x + 1/x on the interval [1,3] Homework Equations The Attempt at a Solution I don't know how to get started!

Homework Statement A 1.50 kg steel block is at rest on a steel table. A horizontal string pulls on the block. The coefficient of static friction of dry steel on steel is Uk=.800, the coefficient of kinetic friction of dry steel on steel is Uk=.600, and the coefficient of kinetic friction of...

Homework Statement A power line is to be constructed from a town to a mine that is located near a straight road going to the town. The point on the road closest to the mine is 7.5km from the town and 3km from the mine. The cost of building along the road is 4500$ per km, and through the forest...

Homework Statement The figure illustrates Michelson's setup for measuring the speed of light with the mirrors placed on Mt. San Antonio and Mt. Wilson in California, which are 35 km apart. Using a value of 3.00 x 108 m/s for the speed of light, find the minimum angular speed (in rev/s) for the...

yet another doubt about gravitation. we must affirm that it's also not a homework question, so, we won't need any number, only the formulas. Homework Statement 1) suppose that an object is located in a distance r from the center of the Earth (not necessary to say that r is larger than the...

Physics students out there...how do you find the Minimum Beam waist after being given the beam waist and the focal length of a lens? Please help!

Homework Statement Let A, B, C, D be the vertices of a convex quadrilateral. Convexity means that for each lines L(ab), L(bc), L(cd), L(da) the quadrilateral lies in one of its half-planes. Find the point P for which the minimum Min(d(P,A)+d(P,B)+d(P,C)+d(P,D)) is realized. Homework...

Homework Statement Missing orders occur for a diffraction grating when a diffraction minimum coincides with an interference maximum. Let D be the width of each slit and d the separation of slits. (a) show that if d = 2D, all even orders (m=2,4,6) are missing. (b) show that there will be...

In the following cryptarithmetic equation, each of the x’s represent a decimal digit, whether same or different, and “NOW” represents a three digit positive integer with no leading zero. Each of N, O and W represent a decimal digit, whether same or different. (N O W) * (N O W) = (x x x x x...

Homework Statement A single-turn square loop carries a current of 18.0 A. The loop is 17.1 cm on a side and has a mass of 0.0360 kg. Initially the loop lies flat on a horizontal tabletop. When a horizontal magnetic field is turned on, it is found that only one side of the loop experiences an...

Homework Statement f(x) = (e^x)/x. at what value of x does f(x) attain its minimum Homework Equations The Attempt at a Solution f'(x) = (x)(e^x) / (e^x) then do i set both of those to 0 and solve? how o i do that? im losttt

Another Nuclear Physics problem: Minimum photon energy for deuteron dissociation Homework Statement What is the minimum photon energy necessary to dissociate a deuteron. Take the binding energy to be 2.224589 MeV Homework Equations \gamma + 2H \rightarrow 1H + n \vec{P} = \vec{P_n}...

Please help! Finding minimum force! Homework Statement A small box of mass m_1 is sitting on a board of mass m_2 and length L (Intro 1 figure) . The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is mu_s. The coefficient...

Homework Statement Seawater is approximately .60M NaCl. What is the minimum pressure that must be applied at 25 degrees Celsius to purify seawater by reverse osmosis? Assume i=2.0 for NaCl. Homework Equations Osmotic pressure = MRT R= gas constant, .0821 Latm/mol K The Attempt at a...

Two consecutive positive decimal integers are such that the sum of the digits of each of them is divisible by 11. Determine the minimum possible pair of such numbers.

Homework Statement A satellite of mass 4500 kg orbits the Earth in a circular orbit of radius of 7.6 x 10^6 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 x 10^24 kg. What is the speed of the satellite? What is the minimum amount of energy required to move the...

Homework Statement A curve with a 135 m radius on a level road is banked at the correct angle for a speed of 20m/s. If an automobile rounds this curve at 30m/s, what is the minimum coefficient of static friction between tires and road needed to prevent skidding? Homework Equations...

Homework Statement This is just a theoretical question so there aren't any values for the variables but there are two vectors with constant velocity. Given their velocity, magnitude, direction how can one calculate the minimum distance between the two vectors. Also have to solve...

Homework Statement An elevator mass 4950 kg is to be designed so that the maximum acceleration is 6.10×10-2g. What is the maximum force the motor should exert on the supporting cable? What is the minimum force the motor should exert on the supporting cable? Homework Equations...

A mechanics problem which has to have been studied, but I can't find any references on the web... Assume that a body in the plane is in motion at coordinates (x,0) with velocity vector (a,b). The body can be accelerated at 1 unit/sec^2 in any direction (constant G force). The question is...

Hi. I worry far too much about life. Mostly about stupid stuff like "I'll never go down in history". That's the main one actually. It's getting to the point that I can't really concentrate on anything I enjoy. I sit and read up on mathematicians like Terence Tao, and ask myself constantly...

Homework Statement I don't know if 'hops' is the correct English term, but that's the term my assignment uses in Dutch. The assignment is about the reflection of radiowaves by the f1-layer in the atmosphere and a hop is defined as one such reflection. The question is, what is the minimum...

The question is to determine the dimension over Q(rationals)of the extension Q(sqrt(3+2sqrt2)). So we need to find [Q(sqrt(3+2sqrt2)): Q]. All I can say is that (3+2sqrt2) = (1+sqrt2)^2. I also know that we're trying to find the degree of the minimum polynomial over Q that has...

Homework Statement Vernie, whose mass is 45.0 kg, needs to swing across a river filled with crocodiles in order to rescue Charlie,whose mass is 75.0 kg. However, she must swing into a constant horizontal wind force on a vine that is initially at an angle of θ with the vertical. The width of...

Homework Statement The masses of the javelin, discus, and shot are 1.0 kg, 2.0 kg, and 8.0 kg, respectively, and record throws in the corresponding track events are about 98 m, 75 m, and 25 m, respectively. Neglecting air resistance, (a) calculate the minimum initial kinetic energies...

in every example in this article it uses minimum function because we need to squeeze the function as close as possible to the limit(example 4). http://www.mathhelpforum.com/math-help/calculus/47767-those-never-learnt-well-epsilon-delta-proofs.html but i got this proove that use maximum...

Homework Statement what is the minimum wirk neede to push a 1000kg car 300m up a 17.5o incline? Part a. Ignore friction Homework Equations So we are allowed to use the general equation W=FdCos \theta The Attempt at a Solution So I thought you would just do: W=...

Homework Statement I am trying to describe the limit for the minimum radius of a star to first year university level students in order to describe the reason for the size of the Sun. I'm a bit confused by the critical density of the material in the star's core and how we know that the main...

Homework Statement Find the minimum distance from the origin to the curve y = e^x.Homework Equations Distance Formula The Attempt at a Solution http://carlodm.com/calc/prob6.jpg 5-6 bright Calculus kids in my high school grappled with this problem and we couldn't find an answer. Can...

Homework Statement Consider a magnetron. It consists of an electron-emitting filament at the center of a cylindrical anode situated in a uniform magnetic field. Electrons of charge e and mass m are emitted with negligible velocity from the filament. What is the minimum potential...

Homework Statement Find the absolute minimum and maximum values of f on the set D. f(x,y)= e-x2-y2(x2+2y2); D is the disk x2+y2 <= 4 Homework Equations Second Derivatives test, partial derivatives The Attempt at a Solution fx(x,y) = 0 = (e-x2-y2)(-2x) + (x2+2y2)(-2x...

Homework Statement Let f be a function given by f(x)= x^3 - 5x^2 + 3x + K, where k is a constant. Find the value of k for which f has 11 as it's relative minimum. Homework Equations f(x)= x^3 - 5x^2 + 3x + K The Attempt at a Solution First, I found the derivative of f(x), found...

Homework Statement A Small boy is sledding on a snowy slope and looks very weary as he drags his sled up again after each run. Each time he pulls the sled up he makes an angle of 30 degrees with respect to the ground. The mu of kinetic friction is 0.10. At what angle should the boy be...

Homework Statement A car rounds a slippery curve. The radius of curvature of the road is R, the banking angle with respect to the horizontal is θ and the coefficient of friction is μ. What is the minimum speed required in order for the car not to slip? Homework Equations Fc = (mv^2)...

Hello, I tried this in analysis but maybe it is a more topological question. If given a function f on R such that \int_R f(x)dx = 1 and is decreasing and 1-lipschitz, show that the function g(y) = min{x,f(x)} where y = x-f(x) and x>=0, also satisfies \int_Y g(y)dy=1. I really would...

Craig Hogen, in his paper Indeterminacy of Holographic Quantum Geometry, Phys. Rev D 78, 087501 (2008), has claimed noise seen in output of the GEO600 interferometric gravitational-wave detector is evidence for a fundamental minimum interval time. What is the time-line for the survival of this...

Homework Statement A circular steel wire 1.91m long must stretch no more than 0.0024m when a tensile force of 450N is applied to each end of the wire. What minimum diameter is required for the wire? Homework Equations p=\frac{F}{\Delta A} The Attempt at a Solution I can't seem...

Homework Statement So there are 2 boxes: 1 has a mass of 16kg and the other is 88kg. There is friction between 2 boxes, the surface which box 88kg is on is frictionless. Static friction coefficient is 0.38. Box 16kg is not on the surface, it's is push against the 88kg box. What is the...

[b]1. Homework Statement It takes a minimum distance of 66.64 m to stop a car moving at 14.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance, when the car is moving at 32.0 m/s. The Attempt...

Homework Statement Picture of my object http://img147.imageshack.us/my.php?image=circlekz1.png How do i calculate the least amount of speed ( aka vmin) an object has at point z without breaking the string or making it go slack. I also need to show how I got it. There should be little...

Homework Statement Find a number in the closed interval [1/2, 3/2] such that the sum of the number and its reciprocal is (a)as small as possible (b) as large as possible I am given the answer in the back of the book The answer to a is 1 The answer to be is 1/2 Homework...

Homework Statement Hey, guys. I have this guy trying to lift this cylinder pass the step with minimum force and so is the question, what's the minimum power that he needs to use and at what angle (alpha)? I also added the solution. The thing I don't understand is, why when the momentum of...

The problem here is relatively simple...I just need to confirm something: A + B - C = D, in which B is a function of A and C is constant. dD/dA = 1 + dB/dA for the derivative To find a min/max of D for certain angles of A, dD/dA = 0 = 1 + dB/dA dB/dA = -1 dB = -dA B = -A, which would imply that...

Homework Statement A roller coaster loop has a radius of 12m. If the passengers in a car are not to fall out at the top of the loop, what is the minimum speed the car must have at the top? The Attempt at a Solution Alright I think I got the right answer but I do not completely...

Homework Statement A student wants to establish a standing wave on a wire 1.7 m long clamped at both ends. The wave speed is 587 m/s. What is the minimum frequency she should apply to set up standing waves? Homework Equations Not sure...need help here? :) The Attempt at a Solution...