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In class, we showed the equation for electroosmotic mobility and electrophoretic mobility. Using these two equations,...
Consider the following situation: Recall from class we looked at a block attached to a horizontal...
Consider the following situation: Recall from class we looked at a block attached to a horizontal spring, spring constant k, on a frictionless surface. We derived the equation for simple harmonic motion using two methods, force and energy conservation. For this question I would like you to do those derivations again, explaining each step as you go. Tell me why you do each step, and what physical properties allow you to do certain steps. a) Derive the simple harmonic motion...
Derive time equation but for that first we have to derive acceleration using the following equations:...
Derive time equation but for that first we have to derive acceleration using the following equations: [1] mg*sin(θ) – fs = ma [2] Rfs = Iα [3] I = cmR2 [4] α = a/R Once we have derived acceleration in terms of sin(θ), g, and c , we are then asked to derive time based on kinematic equation. The time equation should be based on of y, c, g, and d. d=length of Ramp.y=Height of ramp.
1) In class, we showed that the Lagrangian was not unique: we could add xx to...
1) In class, we showed that the Lagrangian was not unique: we could add xx to L and still get Newton's equations. Note that xx =-(2) (a) Let L be a Lagrangian for a system with n degrees of freedom satisfying Lagrange's equations. Show that we can generally add the total derivative of any function of coordinates and time to L: , which is a special case of the following: (q1, q2, ...,qn, t), and that Lagrange's equations will be...
Using algebra, derive manning's equation two special-purpose equations for velocity in a triangular channel and a...
Using algebra, derive manning's equation two special-purpose equations for velocity in a triangular channel and a trapezoidal channel
5. Let X ∼ Beta(α, β). Recall that we showed E(X) = α in class. Find...
5. Let X ∼ Beta(α, β). Recall that we showed E(X) = α in class. Find the second moment of x and the variance of x
Equations of Motion using Lagrange Equation Use Lagranges equations to derive the equations of motion for...
Equations of Motion using Lagrange Equation
Use Lagranges equations to derive the equations of motion for
the system.
In class we derived the following equation 1/[A]_o - [B]_o ln [B]_o [A]/[A]_o [B] = kt...
In class we derived the following equation 1/[A]_o - [B]_o ln [B]_o [A]/[A]_o [B] = kt for a Second-order, class 2 reaction of the form A + B rightarrow products. Derive explixit equations for [A] and [B] as a function of reaction time (t).
Starting from Benzene and using reagents that we have discussed in class, design a synthesis for the Target molecul...
Starting from Benzene and using reagents that we have discussed in class, design a synthesis for the Target molecule (TM). TM SM
please answer all parts (a,b, and c) In class we showed that for a Carnot cycle...
please answer all parts (a,b, and c)
In class we showed that for a Carnot cycle for an ideal gas (Lecture 8, page 10), the following identity follows: Sigmai qi/Ti = q1/T1 + q2/T2 = 0, Where qi, is the (reversible) heat associated with each isothermal step. As we shall see next week, we will be able to identify each of these terms as entropy contributions, DeltaSi = qi/Ti, such that they add up to zero in a cycle, giving...
We use the last two Maxwell's Equations to derive the following two partial differential equations Use...
We use the last two Maxwell's Equations to derive the following two partial differential equations Use the above equations and the traveling wave equations for electric and magnetic field (E-Em Sin (Kx-ut) and B = B-Sin (Kx-ut) To prove speed of light formula C-1???.
Consider the following situation: Recall from class we looked at a block attached to a horizontal spring, spring constant k, on a frictionless surface. We derived the equation for simple harmonic motion using two methods, force and energy conservation. For this question I would like you to do those derivations again, explaining each step as you go. Tell me why you do each step, and what physical properties allow you to do certain steps. a) Derive the simple harmonic motion...
1) In class, we showed that the Lagrangian was not unique: we could add xx to L and still get Newton's equations. Note that xx =-(2) (a) Let L be a Lagrangian for a system with n degrees of freedom satisfying Lagrange's equations. Show that we can generally add the total derivative of any function of coordinates and time to L: , which is a special case of the following: (q1, q2, ...,qn, t), and that Lagrange's equations will be...
Equations of Motion using Lagrange Equation
Use Lagranges equations to derive the equations of motion for
the system.
In class we derived the following equation 1/[A]_o - [B]_o ln [B]_o [A]/[A]_o [B] = kt for a Second-order, class 2 reaction of the form A + B rightarrow products. Derive explixit equations for [A] and [B] as a function of reaction time (t).
Starting from Benzene and using reagents that we have discussed in class, design a synthesis for the Target molecule (TM). TM SM
please answer all parts (a,b, and c)
In class we showed that for a Carnot cycle for an ideal gas (Lecture 8, page 10), the following identity follows: Sigmai qi/Ti = q1/T1 + q2/T2 = 0, Where qi, is the (reversible) heat associated with each isothermal step. As we shall see next week, we will be able to identify each of these terms as entropy contributions, DeltaSi = qi/Ti, such that they add up to zero in a cycle, giving...
We use the last two Maxwell's Equations to derive the following two partial differential equations Use the above equations and the traveling wave equations for electric and magnetic field (E-Em Sin (Kx-ut) and B = B-Sin (Kx-ut) To prove speed of light formula C-1???.
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