Derive Definition and 591 Threads

Homework Statement Derive the equations for v0 and R, and show how you made your prediction. Homework Equations d = v0t +1/2at^2 The Attempt at a Solution The acceleration was zero, so I rewrote the equation: R(range) = v0t but then they substituted t with\sqrt{\frac{2Y}{g}}...

3. Beginning from Newton’s rule for the gravitational force = -GMm/r^2 derive an expression for the potential energy of a particle of mass m above the surface of the earth, and show that it can be written as: U(r) = -g0 RE/r where r is the distance from the centre of the earth, RE is the...

Homework Statement a. The first part of this problem was to derive the escape speed (Vesc) for a star of mass M and radius R. b. The second part is where I am having trouble. It says to equate the Vesc calculated above and derive a formula for Planck length in terms of c, G, and h_bar...

Any hints on how to derive the glass viscosity? n=n(0)exp(Q/RT)?

Homework Statement Approximate an infinite field of charge as a sheet of infinitely long charged wires each with charge dQ = λL . Use the formula for the electric field of a wire in the limit as L goes to infinity to derive the formula for an infinite sheet of charge dencity η. You need to...

Homework Statement x1,x2) are the components of a 2 dimensional vector r when referred to cartesian axes along the directions i,j. derive the relations x1'= cosΘ x1+sinΘ x2 x2'=-sinΘ x1+cosΘ x2 for the components (x1',x2') or r referred to new axes i',j' obtained by a rotation of the axes...

Homework Statement For temperatures T >> T_C (critical temperature) derive the heat capacity at constant pressure C_P from van der Waals equation. Homework Equations Critical temperature: T_C = \frac{2N(V - Nb)^2}{kV^2} T_C is derived from the fact that it exist at the point in which...

Homework Statement the fahrenheit temp scale is defined to that ice melts at 32 F and water boils at 212 F. Derive formulas for converting fahrenheit to celsius and back. Homework Equations c=5/9(f-32) The Attempt at a Solution ok so i figured that 212-32= 180 and 100-0=100 so...

Homework Statement Derive the compton equation. Homework Equations \lambda` - \lambda = h/ mc (1 - cos\theta) E = hf = hc/\lambda The Attempt at a Solution Okay, I'm sorry this is so long, I'll try and make it as concise as it is possible for a whole blather of random crap to...

Sorry me again THE CRC tables define the above integral as using sqrt(x^2-a^2) let t(x) = sqrt(x^2 - a^2) integral = 1/2( x T(x) - a^2 log( x + T(x)) HOW do they arrive at this. Thanks

[Solved] Centripetal Acceleration Homework Statement Derive the magnitude and direction of the linear acceleration at the tip of the stick, ignore the effect of gravity. Homework Equations r = length of stick a = dv/dt The Attempt at a Solution I first find the x and y components...

Homework Statement Find the Local and absolute extrema of f(x) on the interval [-1,2] and give a sketch of the graph if: f(x) = [ 1 / (1 + |x|) ] + [ 1 / (1 + |x - 1|) ] I am confused about the absolute value parts. I know they're the versions inside the absolute value signs when...

Homework Statement A planet with mass m is orbiting about the Sun (mass m(s)) with elliptical orbit such that the maximum and minimum distance is r1 and r2 respectively. What is its angular momentum, L, of the planet relative to the centre of the Sun? Homework Equations...

Homework Statement A planet of mass m orbiting the Sun(mass=m_s along an elliptical orbit, with aphelion r1 and perihelion r2. Find the angular momentum of the planet relative to the centre of the Sun. Homework Equations Angular momentum, M=m(R\times v)=mvR sin\theta Distance from Sun...

Homework Statement Derive the Law of Conservation of Mechanical Energy starting from the Work-Energy Theorem. State any assumptions. Homework Equations I'm not really sure where to start with this. Basically how to end up with the equation 0=\DeltaU+\DeltaK The Attempt at a Solution

Homework Statement I have to show that the delta function bound state energies can be derived from the finite square well potential. Homework Equations The wave functions in the three regions for the finite square well. (See wikipedia) The Attempt at a Solution 1. I start from the...

Homework Statement If you have a function f_n(x), how do you get the equivalent representation <x|f>? Homework Equations I have a system with a given Hamiltonian (not in matrix-form), from which I derived the specter of energy eigenvalues E_n, and the corresponding energy...

How do I derive this equation?!? HELP! I started with the equation: y=yinitial + (vinitialsintheta)t -1/2gt^2 I plugged in t=x/(vinitialcostheta) to get: y=yinitial + x (tantheta) - [(gx^2)/(2(vinitial^2)(cos^2theta))] Using derivatives, how do I get from this equation: y=yinitial...

Given the equations V2x= V1x+ax\Deltat and \DeltaX= V1x\Deltat+ 1/2ax\Deltat2, i need to derive the equation V2x2=V1x2+2ax\Deltat. please help me!

Homework Statement A wire OA connects the collar A and a reel located at O as shown in the picture. Knowing that the collar moves to the right at a constant speed v0, determine θ'' (the 2nd-order-derivative of θ) in term of v0, b and θ. http://www.freeimagehosting.net/uploads/3cad8b54c6.jpg...

Starting with the equation of motion -kx = ma , it is said that integrating this with respect to x gives the equation for conservation of mechanical energy. Only problem is i don't see how to integrate the right hand side with respect to x...

How to derive equillibrium constant (K) of reaction with respect to water eq. constant (KH2O) ? Reactions H+ + HCO3- ----------> H2CO3 H+ + CO3-2 -----------> HCO3- Fe2+...

1. The problem statement Derive the sine power series without using Taylor's formula.

You have 10 days of numbers that are averaged together (10 day avg). The most recent 3 days of numbers also averaged (3 day avg). The 3 day average is divided by the 10 day average to arrive at (3d/10d) The oldest number in the series is dropped off and a new one, X, is added. X is the newest...

given some complex model that does not generally have analytic solutions why do we search for, and solve for, cases where there are analytic solutions? considering at this point much simulation can be done using numerical methods on computers what is the point? take for example a pendulum...

i'm not sure if this is the right place but I'm trying to get my head around derive 6 and i have a couple of questions that don't seem to be coming out right... d^{2}y/dx^{2} + 8dy/dx + 16y = (4e^{-4x})(sinx+cosx)^{2} ; y(0)=y'(0)=0 so i inputed DSOLVE2_BV(8, 16, (4·^(-...

hello, can someone look at my problem and tell me how to get to the arrow? thank you so much.. i am studying for my midterm and i have no clue where it come from. thanks

A rock with mass m = 3.10 kg is suspended from the roof of an elevator by a light cord. The rock is totally immersed in a bucket of water that sits on the floor of the elevator, but the rock doesn't touch the bottom or sides of the bucket. Here is the part that I am stuck on: Derive an...

As we know, the variational principle can be used as the fundamental principle of mechanics. Without knowing Newton's laws, the Lagrangian could be derived from symmetric consideration. As the simplest case, the Lagrangian of a free particle could be derived from Galileian invariance, or the...

I have been asked to write down the taylor expansion for two concentric spherical surfaces with radii r1 and r2 of a lens and mirror combination which I think is called a Mangin Mirror. It is supposed to be related to the x and y-axis positions. Also, I have been asked to derive the...

[Ignore]How to derive magnitude of Electric field to this? Homework Statement My book states that |E| = \frac{2kQ}{d^2} = 2\pi k\sigma I thought k, the coulomb constant is \frac{1}{4\pi\epsilon0} Homework Equations The Attempt at a Solution

Greetings all, My first problem: I have been asked to derive the minimum radius ratio for coordination numbers 4 and 6. I read the book and looked at the sample problems, but they do not help at all. I realize that it has to do with the geometry of it, but have no idea how to use that. The...

Derive Kepler's Third Law of Planetary Motion from Newton's Law of Universal Gravitation. I know the Law of Universal Gravitation is Fg = (Gm1m2)/(r^2) and the Third Law of Planetary Motion is T^2 = kr^3 What should I do next?

Sum of all Forces= Force - Force of Friction We have Formulas to use in our physics test for an object on an inclined plane w/ friction: Sum of all Froces= F-Ff, Sum of all Forces=ma, a=(Sum of all Forces)/m Ff=Uk(N) and Sum of all...

I am new to Derive 6 and Laplace Transforms. Is it possible to solve the closed loop gain A/B of the attached loop using Derive 6. If it is possible, can someone guide me through the steps using Derive, as the problems that lie ahead will be much more complex, and I want to use Derive in the...

I need to derive the expression for the gradient operator in spherical coordinates. I know the following R =sqrt(x^2+y^2+z^2) theta, call it %, = arctan sqrt(x^2+y^2)/z phi, arctan (y/x) Using dT/dx= dT/dR*dr/dx+dT/d%*d%/dx+dT/dphi*dphi/dx, do partial derivates... dR/dx =...

please show me explict calculations

I'm still a intermediate science student. I'm not understanding how to derive the ohm's law. can anyone help me?

Homework Statement Ok I'm trying to derive a=v^2/r Homework Equations The Boas book gives me two equations to start off with: r^2=\vec{r}*\vec{r}+constant and v^2=\vec{v}*\vec{v}+constant The Attempt at a Solution Where the hell did those equations come from. I know...

hi, i just learned about lagrange multipliers and i am very confused about how to derive and use them. another thing, how would you use them to find points on a surface that are closest to a given point outside the surface

I got some precalc review to prepare for calc, and after hours of doing the packet, I'm on the last problem set...but it's all about derivatives which we never touched on last year. Homework Statement I'm supposed to derive sin^2 + cos^2 = 1 Homework Equations It says to use cos 0...

Well the question is in the title. Does Malus' Law (http://en.wikipedia.org/wiki/Malus%27s_law ) follow automatically from Maxwell's equations, or is it really an extra thing put in by hand? In particular I'm interested if there is a purely classical electromagnetic explanation (i.e. without...

If an equation has the form c = A + Bt - Ct^2 + Dt^3 + Ez Where A,B,C,D and E are known constants, t and z are the variables. t=15 and z=2. Derive an algebraic expression for delta_c/c in terms of delta_z/z and delta_t/t. Apparently you are suppose to calculate delta_z, delta_t and...

How can I derive the equation from a Graph? The x coordinates are: 28,30,32,33,34,35 The Y coordinates are: 7,8,9,10,11,12 We could express this as a relation, r: r{(7,28), (8,30), (9,32), (10,33), (11,34) (12,35)} Regards, Gordon,

URGENT x 10 DERIVE a 6x6 Hamiltonian for bulk semiconductors Okay here is a little challenge for you guys. Try and test your skill a little. First 10 people to properly derive a 6x6 Hamiltonian for bulk semiconductors will gain bragging rights in this forum.

Homework Statement basically what the topic states - derive the formula for the derivative of arctan x. Homework Equations d/dx (arctan x) = 1/(1+x^2) The Attempt at a Solution strange question because we already know the answer. but I am not sure how to start this. i know...

I have to prove that tan^(-1)(z) = i/2 * log[(i+z)/(i-z)] Homework Equations sin^(-1)(z) = -i * log[iz + (1-z^2)^(1/2)] cos^(-1)(z) = -i * log[z + i(1-z^2)^(1/2)] The Attempt at a Solution I've tried a number of attemps. I first tried the most obvious and I did sin^(-1)(z)...

Homework Statement Find a,b,c, and d such that the cubic f(x)=ax^{3}+bx^{2}+cx+d satisfies the indicated conditions. Relative maximum (3,3) Relative minimum (5,1) Inflection point (4,2) Homework Equations The Attempt at a Solution I am so lost as to how to do this :/...

Homework Statement The reaction: CO + Cl <-> COCl2 has the rate law: rate = k[CO][Cl2]^(3/2) Show that this rate law is consistent with the mechanism: Cl2 <-> 2Cl (fast) Cl + CO <-> COCl (fast) Cl2 + COCl -> COCl2 + Cl (slow) (i don't know how to do superscript and subscript on...

Given a(t) = -Cv^2(t) where C is a constant, express v(t) and x(t) as explicit functions of time t. Assume v(0) = v0 So I tried integrating both sides of the equation to get: v(t)+C' = -C integral v^2(t) dt but then I how am I supposed to integrate v^2(t) dt... Also, I thought I could do it...