Max Definition and 1000 Threads

Hello, I wonder if there's any difference between the "impedance matching" and "maximum power transfer" criterion? I assume in both cases, one impedance should be designed to be the complex conjugate of the other. Thanks.

Homework Statement The top of the roller coaster is 77.7m above the earth. From this height what speed can be reached when it reaches the bottom of the drop? This problem must be solved using work and energy equations not kinematic equations.. Homework Equations Wg=-(mgyf-mgyi)...

Homework Statement A 17 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 210 N/m. (picture attached) a) What is the maximum compression of the spring? (solved this part) b) At what compression of the spring does the...

Homework Statement Consider a wet banked roadway, where there is a coefficient of static friction of 0.300 and a coefficient of kinetic friction of 0.250 between the tires and the roadway. The radius of the curve is 50.0 m. If the banking angle is 25˚, what is the maximum speed an automobile...

Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with two elastic cords tied to the ankles. The jumper falls freely for a while, with the cords slack. Then the jumper falls an additional distance with the cords increasingly tense. Assume that you have cords...

Homework Statement Find the local maximum and minimum values and saddle point(s) of the function. f(x,y) = 1 + 2xy - x^2 - y^2 Homework Equations The Second Derivative Test: let D = D(a,b) = fxx(a,b)*fyy(a,b) - [fxy(a,b)]^2 if D > 0 and fxx(a,b) > 0, then f(a,b) is a local minimum...

Homework Statement The equation z(e^(xy)) + z^5 + y = 4 implicitly defines z as a function z = f(x,y) near (0,2,1) (a) find df/dx and df/duy where x = 0, y = 0, and z = 1 (b) find the maximum rate of change of f at the point (0,2) Homework Equations sorry, my first post here not sure what i...

a cannon is placed on an edge of a cliff and launches shell with an initial velocity of 710m/s [35degrees above the horizontal]. the shell lands 15m below its launching position. a) determine the max height of the shell b) determine the horizontal range of the shell from the base of the cliff...

Homework Statement determin the maximum speed attained by a mass when it is released from the x=0 position Homework Equations E=(kx)/2 E=mgh E=1/2mv^2 The Attempt at a Solution so i assumed that when the mass is at max speed the net force is 0. so force of gravity=force of...

Few quick questions, too lazy to look up this info my self: 1. Whats the max molecular weight for a single polymer strand of styrne (i.e what's the max number of styrenes you can link up). 2. Anyone know about the industrial process to produce ABS? 3. What is a good solvent for Styrene...

Homework Statement If I have a group defined on the integers, by a*b=ab, how do I know if an inverse exists? Also, define * on the integers by a*b=max{a,b} Homework Equations The Attempt at a Solution I got 1/a as an inverse, but I'm thinking it's not a group since we don't...

Homework Statement Find the unit vector e at P=(0,0,1) pointing in the direction along which f(x,y,z)=xz+e-x2+y increases most rapidly. The Attempt at a Solution In order to find the direction where f increases most rapidly, I found the second derivative of f. I don't know how to put the...

Homework Statement Another model for a growth function for a limited pupulation is given by the Gompertz function, which is a solution of the differential equation dP/dt = c*ln(K/P)*P where 'c' is a constant and 'K' is the carrying capacity. At what value of P does P grow...

Homework Statement A 10 kg crate is pulled with a force F_A at an angle \theta to accelerate the crate at 0.9 m/s^2. The coefficient of friction between the floor and the crate is 0.45. Derive an expression for the angle that the crate be pulled so that the applied force is a minimum...

A car drives over the top of a hill that has a radius of 50m. What maximum speed can teh car have without flying off the road at the top fo the hill? Soooo I know I'm supposed to treat the hill like a circle...no coefficient of friction given, not sure if I need that though, not really sure...

Homework Statement The maximum speed of a pendulum is .55 m/s. if the pendulum makes a maximum angle of 8 degrees with the vertical what is the length of the pendulum? The back of the book says that the answer is 1.59m. Homework Equations Its in the chapter of our book entitled...

Homework Statement The diagram above represents a collection of level sets for a certain function, where the outer-most level is at the lowest height. What are points A-E? relative min, relative max, saddle point, or not a critical point The Attempt at a Solution I have tried...

1. An air mattress is 2.4 m long, 0.65 m wide, and 12 cm deep. 2. If the air mattress itself has a mass of 0.21 kg, what is the maximum mass it can support in freshwater? 3. I have absolutely no clue in which direction to go in once i found the buoyant force, which I am not sure...

Let a,b,c,d in R. For a=< x =< b and c=< y =< d, find maxx{maxy{(x-a)(y-c), (x-a)(d-y), (b-x)(y-c), (b-x)(d-y)}}?? it is well known that max(x,y) = \frac{x+y+|x-y|}{2}

Homework Statement A circular curve of radius R in a new highway is designed so that a car traveling at speed v0 can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, then it will slip...

1. find the extremas and points of inflections 2. g(t)= 1+(2+t)e^(-t) 3. So i know you need to find g(t)' and g(t)'' g(t)'= -e^(-t)(1+t) g(t)''= (t)e^(-t) my critical point is t=-1 (max) and my point of inflection is t=o How do I get to max extrema being (-1, 1+e) and...

Homework Statement An object of mass .5 kg is hung from the end of a steel wire 2m in length and .5mm in diameter. The mass is lifted a distance h and then dropped (creating a 'jerk') What is the largest value of h if you don't want the wire to break? Ultimate Strength: 1.1E9 N/m^2 Young's...

Express Max height in terms of g and T?!? I need to express the y_max in terms of g and T... do i need to put in my V_0y value? or leave it as a variable? i've tried V_0y*T + 1/2gT^2

out of "The Origin and Development of the Quantum Theory" given somewhere in the 1920's. If you type the title in google, you can read a html copy [SIZE="1"] As a fun historical sidenote, the following quote seems amusing in hindsight:

Homework Statement where x=(4aV^2tan\alpha)/(V^2+2ag+2agtan^2\alpha) where a, V, g are constant. g is gravitational field strangth. what is the greatest value of x as \alpha varies? how do i even start? Homework Equations The Attempt at a Solution

Like many academics in the US, I participate in a 403(b) tax-deferred retirement plan with TIAA-CREF. The college where I work contributes an amount equal to a certain % of my salary, and I conribute my own money through payroll deductions (currently about 20% of my gross salary), which reduces...

If I have a slope for which I do simple linear regression analysis, but each of the 6 datapoints of the slope have their individual (non-equal) standard deviations, how can I calculate the maximum and minimum slope of the graph? One idea we too up was to increase the first half of the data...

2) The point in the middle of the string is the maximum speed, at this point occurs when the point passes through its equilibrium position (the position it occupies when the string is perfectly flat). To increase the maximum speed of this point which of the following would you change? Select all...

Homework Statement This question is part of a longer problem. I know the answer, but I don't know how they got their. Please provide a detailed explanation. Thanks. Question: Find the maximum speed perpendicular to the wave's direction of travel (the transverse speed). y(x,t)=2sin(4x-2t)...

I noticed that, for resistors in a parallel circuit, where R1 is < R2, the minimum value is (R1)/2, and the maximum approaches R1. I was trying to work out why, so for two resistors, the calculation is: R1.R2/(R1 + R2). I thought of partial derivatives but not sure where to go after that, and...

Homework Statement A block of mass m rests on top of a block of mass M, which in turn rests on a horizontal surface. The coefficient of static friction between m and M is mu-1 and the coefficient of kinetic friction between m and M is mu-2. The coefficient of static friction between M and...

Ok, so say I have a system at a global temperature, I add an energy source (laser in this case) and it heats the system in a localized area. This leads to a maximum temperature peak in the system. Then you can get out a change in temperature from this maximum to the global. OK, now my...

In the PBS documentary on Einstein's E=MC^2, the story makes it seem as if Planck called on Einstein in response to Einstein's paper on E=MC^2 which was published in 1905. But Einstein wrote an earlier paper on the photoelectric effect and the quantization of energy, also in 1905. Was it for...

May seem like a bizarre question but I was wondering what the maximum possible resolution of a scanned A4 image would be. A4 paper is 0.297m x 0.21m, average resolution of light is 200nm. So I get, (0.297m / 200x10^-9m) x (0.21m / 200x10^-9m) = 1.56 terapixels Is this about right...

Homework Statement Sketch the graph of each function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing, as well as where it is concave up or concave down. 9. f(x)=x3-12x Homework Equations The Attempt at a...

what is the maximum number of electrons allowed in each of the first 5 orbits of an atomic particle? Is it the same for all elements? or do different ones hove a different maximum numver of electrons possible of being in an orbit?

How the specification of an engine power done. Why its said power and torque max at some speeds. I am searching for the answer for a long time. Can someone help me..

Homework Statement A 0.280-kg block along a horizontal track has a speed of 1.30 m/s immediately before colliding with a light spring of force constant 43.6 N/m located at the end of the track. What is the spring's maximum compression if the track is frictionless? The Attempt at a...

Having difficulties with this, I assume that something's supposed to cancel out at some point, but I must be missing something important. If someone could point em in the right direction... Thanks for all your help, once again...

Homework Statement If a mass of 0.3 kg is attached to a horizontal spring system with a spring constant of 32 N/m^2 is stretched 0.2 m from its relaxed length, what is the maximum speed the mass will attain when released from this position? The Attempt at a Solution i thought all...

Homework Statement We have the force field F= (-4y+yx^2)i - (xy^2)j. Find the simple closed curve in which the work produced by the Force field is maximum Homework Equations vector calculus( curved intergrals second type, green stoke's gauss theorems...)

Okay so today i sat a AS level physics paper and after finishing the exam i looked threw the equation booklet and decided to do some manipulation and i came up with this and was wondering what you guys think of it. I am confused! :) E=hc/λ AND λ=h/mv subbing in gives E=hcmv/h which is E=cmv...

Projectile Motion - V0 is 5 times v @ max height?!? Thanks prior, all... Homework Statement A projectile's launch speed is 5 times its speed at maximum heigth. Find launch angle theta0. Homework Equations Not sure which are relevant on this one, but the given for the section are...

I'm doing OCR A-Level Physics, and in my textbook it states "They (Penzias and Wilson) made a calculation to find the temperature of the source of the radio waves, which had a maximum intensity at wavelength 1.1 cm, and found it to be 2.7K". This was all good and well, until I answered a...

Homework Statement Find max and min value of the function Homework Equations attached. The Attempt at a Solution no graph, because roots aren't real numbers.

This should be a pretty simple but I am having trouble finding the right information. For a 6x6 wooden post for now well say 12' above the footing I need to determine the max load vertical load it can take before it fails. I live in Canada so was looking around Canadian lumber standards and...

Homework Statement A fire-hose must be able to shoot water to the top of a building 35.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m³.s¯¹ and shoots out of a round nozzle. (a) What is the maximum diameter that this nozzle can have? (b) If the only...

Calculating the max distance of compression of the spring please HELP! Homework Statement A 2.0 kg block is dropped from a height of 40 cm onto a spring of force constant k = 1960 N/m. The maximum distance the spring is compressed is? Homework Equations I Used the equation W=mgh and...

Homework Statement A 10-g bullet moving at 1000 m/s strikes and passes through a 2.0 kg block initially at rest as shown in the diagram. The bullet emerges from the block with a speed of 400 m/s. [PLAIN]http://img34.imageshack.us/img34/554/82265240.gif To what maximum height will the...

Let S be a set on which a linear order <= (less or equal) , is defined. Show that a non-empty finite subset has a max.