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1. Evaluating Operators

Homework Statement Given the operator A = d/dx and B = x and the function f(x) = xe^(-ax) evaluate : ABF(x) and BAF(x) Do these operators commute (yes/No) Homework Equations [A,B]F(x) = ABF - BAF = 0 ; means they commute The Attempt at a Solution [A,B]F(x) = ABF - BAF = 0...
2. Find the value of A^2

please check the attachment below. The question and the attempted solution is found there. Thanks a lot for your help in advance.
3. Isoelectronic Point

Homework Statement Why must the PI be an average of two PKa's Homework Equations pI = (Pka1 + pKa2)/2 The Attempt at a Solution the pI is the point when the net charge of a compound is zero. I dont really know why it must be the average of two pKa's. Please I need help!
4. Contiuation Kirchhsoffs Circuit Problem

1) Please take a look at the attachment below in order to solve the problem. Using the figure at the right determine the values of i1, i2 and i3. Input your answers in the form "a.bc x 10^(y) A". 2) Using the correct results from #1, determine the following. For A and B you must also tell...
5. Kirchhsoff's Circuit Law (Loop Rule Equation)

1) Please take a look at the attachment below in order to solve the problem. Using the figure at the right determine the values of i1, i2 and i3. Input your answers in the form "a.bc x 10^(y) A". 2) Using the correct results from #1, determine the following. For A and B you must also...
6. The Rate at which kinetic energy changes to thermal energy

A potential difference of 50 mV is maintained between the ends of a 9.70 m length of wire whose cross section area is 25.0mm^2. The conductivity of the wire is 6.80 x 10^6 (ohm.m)^-1. Determine the rate at which the energy in the wire is transformed into kinetic to thermal energy. 2. Homework...
7. The rate at which the energy in the wire is transformed into kinetic

Homework Statement A potential difference of 50 mV is maintained between the ends of a 9.70 m length of wire whose cross section area is 25.0mm^2. The conductivity of the wire is 6.80 x 10^6 (ohm.m)^-1. Determine the rate at which the energy in the wire is transformed into kinetic to...
8. Precipitatition Titremetry

Homework Statement Calculate the pAg after the addition of 5ml, 40ml, and 45ml of 0.05M AgNO3 to 50.00ml of 0.04M Kbr (AgBr Ksp = 5 x 10^-13) Homework Equations The Attempt at a Solution when 5ml of AgNo3 is added , we have (50 x 0.004 - 5 x 0.05)/55 = 0.0318 P(kbr) = -log...
9. Lifting Problems

Homework Statement Find the work done in winding up a 150 ft cable that weighs 4.00 lb/ft. Assume that the weight includes the gravitational force. In order words exclude the gravitational force g in your calculation. Homework Equations W = ∫ pgA(y)D from a ft to b a = area P =...
10. Electric Field

Homework Statement Two point charges Q1 = -58.6 mC and Q2 = +35.4 mC are located so that Q1 is directly above Q2. The coordinates of Q1 is (-12.0 cm, +15.6 cm). The two charges are 42.8 cm apart. Determine the coordinates of the location where the net electric field due to Q1 and Q2 is zero...
11. Gauss Law

[b]1. Homework Statement -38.0 nC of charge is uniformly distributed throughout a spherical volume of radius 34.0 cm. How much charge is contained in a region of radius 23.0 cm concentric with the charge distribution? Homework Equations Charge density = λ/area The Attempt at a...
12. Determine the potential energy of the configuration

. Homework Statement Diagram: Please check the attachment. It has a diagram that will help solve the problem #6)Point charges Q1 and Q2 are located at two vertices of an equilateral triangle. Point P is the third vertex.The length of each side of the triangle is 28.0 cm. Q1 = +26e, and Q2...
13. Determine the Charge on a Particle

Homework Statement a.) Two equally charged particles, held 22.4 cm apart, are released from rest. The initial acceleration of the first particle is observed to be 4.0 m/s2 and that of the second particle is 6.0 m/s2. If the mass of the first particle is 3.40 x 10-7 kg, determine the mass...
14. Coulombs Law: magnitude of the force between two point charges

Homework Statement Determine the magnitude of the force between two point charges, Q1 = -2e located at (-3.60 cm, +4.10 cm) and Q2 = -8e located at (-0.60 cm, -8.60 cm). Give your answer in the form "a.bc x 10^(y) N". Homework Equations F = kq1q2/r2 The Attempt at a...
15. Dropping a mass in a hole through the Center of Earth

Homework Statement Assume that the earth is a uniform density spherical mass. (This assumption is not correct but we will use it for simplicity in working the problem.) The deepest hole drilled into the earth's surface went to a depth of 40,230 ft (Wikipedia.org). Imagine that this hole was...