Energy of block on a spring
Download as DOCX, PDF0 likes184 views
The document describes calculating the total energy and velocity of a 25 gram block oscillating on a spring. The block has a maximum displacement of 12 cm from equilibrium. The total energy is calculated to be 29.4 J by adding the kinetic energy at 12 cm to the potential energy. When the block is 4 cm from equilibrium, conservation of energy is used to solve for the block's velocity of 1.252 m/s.
1 of 2
Download to read offline
Recommended
Lo #1
Lo #1Mitchell Sattler
Ìý
This learning object focuses on the topics of simple harmonic motion and energy conservation in horizontal mass-spring systems. It is in the form of a word problem that has two parts that each focus on one of the two topics above.ELECTROMAGNETICS: Laplace’s and poisson’s equation
ELECTROMAGNETICS: Laplace’s and poisson’s equationShivangiSingh241
Ìý
ELECTROMAGNETICS: Laplace’s and poisson’s equation In Cartesian, cylindrical and spherical coordinates, APPLICATION, examples, Uniqueness theoremThe Variational Method
The Variational MethodJames Salveo Olarve
Ìý
This presentation shows a technique of how to solve for the approximate ground state energy using Schrodinger Equation in which the solution for wave function is not on handBrief introduction to perturbation theory
Brief introduction to perturbation theoryAnamika Banerjee
Ìý
Perturbation theory allows approximations of quantum systems where exact solutions cannot be easily determined. It involves splitting the Hamiltonian into known and perturbative terms. For the helium atom, the zero-order approximation treats it as two independent hydrogen atoms, yielding the wrong energy. The first-order approximation includes repulsion between electrons, giving a better but still incorrect energy. Variational theory provides an energy always greater than or equal to the actual energy.Quantum mechanics1
Quantum mechanics1RameezaAnsari
Ìý
Perturbation theory allows physicists to approximate how small changes to a quantum system's potential will affect it. It involves treating the changed part of the Hamiltonian as a perturbation and solving the perturbed eigenvalue problem order-by-order. The first order energy correction is the expectation value of the perturbing potential in the unperturbed eigenstate. The first order eigenstate correction is a superposition of unperturbed eigenstates weighted by the perturbing potential's matrix elements.Scalars in mechanics
Scalars in mechanicsMaurice Verreck
Ìý
1) A block is lifted from height h1 to height h2, gaining gravitational potential energy.
2) The only force acting is the downward force of gravity, which has a magnitude of 100 N x 9.81 m/s^2.
3) By lifting the block a distance of 2.0 m, work is done against gravity, increasing the gravitational potential energy.Advance Quantum Mechanics 
Advance Quantum Mechanics University of Education
Ìý
Dirac-delta function, Expectation values+ mathematical interpretation, Compatible observables, Incompatible observables, Difference between continuous spectra(unbound state) and line/discrete spectra(bound state), one example, including diagrams+ graphs.Lo #1
Lo #1Mitchell Sattler
Ìý
This learning object focuses on the topics of simple harmonic motion and energy conservation in horizontal mass-spring systems. It is in the form of a word problem that has two parts that each focus on one of the two topics above.2 law and exergy change
2 law and exergy changeISEL
Ìý
The document discusses second law efficiencies and exergy change of systems. It defines second law efficiency for various devices like heat engines, work-producing devices, refrigerators, and general processes. Second law efficiency compares the actual performance of a device to its theoretical maximum performance under reversible conditions. The exergy change of a closed system depends on the change in internal energy, pressure-volume work, and entropy between initial and final states, accounting for environmental properties. Exergy can represent the useful or recoverable work of a system.FJMS
FJMSMohammad Hassan Mohammadi
Ìý
This document summarizes a research paper that develops a three-dimensional mathematical model of heat transfer using the stream function approach and numerical solution via finite element methods. The modeling is based on conservation of mass, momentum, and energy. Differential equations for continuity, Navier-Stokes, and heat transfer are derived and expressed in terms of the stream function. The system is then converted to a variational formulation and discretized using finite elements to obtain a numerical solution.The wkb approximation..
The wkb approximation..DHRUBANKA Sarma
Ìý
The document discusses the WKB approximation method for solving the Schrodinger equation. It can be used to obtain approximate solutions for bound state energies and transmission probabilities through potential barriers in quantum mechanics. The WKB approximation assumes that the potential V(x) varies slowly compared to the wavelength and that the wavefunction can be expressed as a slowly varying amplitude multiplied by an oscillating phase factor. It provides expressions for the wavefunction in classically allowed and forbidden regions, and connection formulae to match solutions at turning points. An example of applying WKB to a potential square well with a bumpy bottom is also presented.Lecture 3-4: Exergy, Heating and Cooling, Solar Thermal
Lecture 3-4: Exergy, Heating and Cooling, Solar Thermalcdtpv
Ìý
The document discusses various topics related to energy and thermodynamics, including:
1) Different systems that can store 1 kW hr of energy and why we pay more for some forms.
2) The concept of exergy, which quantifies how useful energy is, and how it is lost as heat is converted to less useful forms.
3) Examples of heat engines and refrigerators/heat pumps, and calculations of their maximum possible efficiencies.
4) Ways of improving energy efficiency for heating, such as reducing heat loss, increasing heat pump coefficients of performance, and using combined heat and power systems.Electrostatics123
Electrostatics123Poonam Singh
Ìý
This document discusses several topics in electrostatics including:
1. Coulomb's law which states that the electrostatic force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
2. Electric dipoles which have a dipole moment defined as a vector from the negative to positive charge. An external electric field does no work on a dipole but exerts a torque tending to align it with the field.
3. The potential energy of an electric dipole in an external electric field which is minimum when the dipole is aligned with the field.Chemical dynamics, intro,rrk, rrkm theory by dr. y. s. thakare
Chemical dynamics, intro,rrk, rrkm theory by dr. y. s. thakarepramod padole
Ìý
1) The document discusses various theories of unimolecular reaction kinetics including the Lindemann theory, Hinshelwood theory, RRK theory, and RRKM theory.
2) The RRK (Rice-Ramsperger-Kassel) theory was extended and redefined by Marcus in 1951-1952 to form the RRKM (Rice-Ramsperger-Kassel-Marcus) theory.
3) The RRKM theory is widely used today to interpret thermal and photochemical reactions. It models reactions using a set of coupled classical harmonic oscillators and calculates reaction rates by summing over the accessible quantum states.Solving a problem of fluide dynamics 
Solving a problem of fluide dynamics NaimulZafran
Ìý
A pump drawing A solution (specific gravity =1.8) from A storage tank through an 8 cm steel pipe in which the flow velocity is 0.9 m/s. The pump discharges through A 6 cm steel pipe to an overhead tank, the end of discharge is 12 M above the level of the solution in the feed tank. If the friction losses in the entire piping system are 5.5 M and pump efficiency is 65 per cent, determine :
Power rating of the pump.
Pressure developed by the pump.
RRKM
RRKMMixtli Campos-Pineda
Ìý
1) The document reports on a computational study of the chemical mechanism and kinetics of the ocimene ozonolysis reaction in the atmosphere. Rate constants and lifetimes of reaction intermediates were calculated.
2) RRKM theory and canonical variational transition state theory (CVTST) were used to derive kinetic equations and calculate microcanonical rate constants for the elementary reaction steps.
3) Results show ocimene has a short lifetime of 86 minutes, while some intermediates have longer lifetimes of days. The kinetic data provides insight into secondary organic aerosol formation from biogenic monoterpene oxidation.47rrkmtheory11 190428142321
47rrkmtheory11 190428142321NehaDhansekar
Ìý
This document summarizes Rice-Ramsperger-Kassel-Marcus (RRKM) theory, which describes the rates of unimolecular reactions. RRKM theory originated from Lindemann-Christiansen theory and considers how energy is distributed among vibrational modes. During the 1950s-1952, R.A. Marcus merged transition state theory with RRK theory. RRKM theory accounts for individual vibrational frequencies and classifies energy as either active or inactive. It can explain high pre-exponential factors and has been used to study reactions like isomerization, though limitations include uncertainty in activated complex vibrational frequencies.Ce 255 handout
Ce 255 handoutDanielAkorful
Ìý
- The document describes the conjugate beam method for analyzing beams with varying rigidities.
- The method involves drawing an imaginary conjugate beam that is loaded based on the bending moments of the real beam.
- The slope and deflection of points on the real beam can then be determined from the shear and bending moment of the corresponding points on the conjugate beam.
- An example problem is worked out in detail to demonstrate calculating the slope and deflection at the end of a cantilever beam with varying moment of inertia along its length using the conjugate beam method.Hinshel wood theory
Hinshel wood theoryDongguk University
Ìý
Sir Cyril Hinshelwood and Nikolaevich received the 1956 Nobel Prize in Chemistry for their research on chemical reaction mechanisms. Hinshelwood modified Lindemann's explanation for unimolecular reactions by proposing that energized molecules (A*) may store energy in various molecular bonds and vibrational degrees of freedom, rather than immediately reacting. This statistical distribution of energy among s degrees of freedom leads to a modified rate constant expression containing an additional term of 1/(s-1) that can account for much higher observed reaction rates. However, Hinshelwood's theory does not fully explain some experimental observations such as the temperature dependence of rate constants and nonlinear plots of 1/k1 versus concentration.Work and energy
Work and energysibo081
Ìý
I do not have enough information to fully answer the questions. The passage provides the kinetic energy and heights of points A and B, but does not give the mass of the block, which is needed to calculate kinetic energy at B using the work-energy theorem. It also does not provide the distance or time of travel between B and C, which would be needed to calculate the work done by friction during the BC segment.On Various Types of Ideals of Gamma Rings and the Corresponding Operator Rings
On Various Types of Ideals of Gamma Rings and the Corresponding Operator RingsIJERA Editor
Ìý
The prime objective of this paper is to prove some deep results on various types of Gamma ideals. The
characteristics of various types of Gamma ideals viz. prime/maximal/minimal/nilpotent/primary/semi-prime
ideals of a Gamma-ring are shown to be maintained in the corresponding right (left) operator rings of the
Gamma-rings. The converse problems are also investigated with some good outcomes. Further it is shown that
the projective product of two Gamma-rings cannot be simple.
AMS Mathematics subject classification: Primary 16A21, 16A48, 16A78Rocket Test!
Rocket Test!chipkidclp
Ìý
This document summarizes the results of rocket test experiments. It includes graphs of horizontal and total velocity over time. It also provides the solutions to questions about maximum y velocity at different times, position and time calculations, kinetic and potential energy graphs, and calculations for rocket landing distance and efficiency accounting for air resistance. However, the full working details are not included due to space constraints.Physics Assignment Help
Physics Assignment HelpStatistics Homework Helper
Ìý
I am Ben R. I am a Statistics Assignment Expert at statisticshomeworkhelper.com. I hold a Ph.D. in Statistics, from University of Denver, USA. I have been helping students with their homework for the past 5 years. I solve assignments related to Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.
You can also call on +1 678 648 4277 for any assistance with Statistics Assignments.Engineering Mechanice Lecture 03
Engineering Mechanice Lecture 03Self-employed
Ìý
This document provides an outline for a lecture on fundamental mechanics concepts including forces, force systems, moments, and moment of forces. Key points covered include:
- Definitions of concurrent and non-concurrent force systems, and parallel force systems. Concepts of resultant forces and free body diagrams.
- Definition of moment as the turning effect of a force, calculated as the product of the force and its perpendicular distance from the point of interest. Sign conventions for clockwise and anti-clockwise moments.
- Principle of transmissibility which states a force's effect is the same along its line of action.
- Several example problems demonstrating calculation of moments for single and combined force systems using the moment equation andTime Dependent Perturbation Theory
Time Dependent Perturbation TheoryJames Salveo Olarve
Ìý
The presentation is about how to evaluate the probability of finding the system in any particular state at any later time when the simple Hamiltonian was added by time dependent perturbation. So now the wave function will have perturbation-induced time dependence.Work energy power 2 reading assignment -revision 2 physics
Work energy power 2 reading assignment -revision 2 physicssashrilisdi
Ìý
This document discusses basic energy concepts including work, kinetic energy, potential energy, and the law of conservation of energy. It provides equations to calculate work (W=FΔx), kinetic energy (KE=1/2mv^2), and gravitational potential energy (GPE=mgh). Examples are given to demonstrate calculating energy transformations during events like a swing or skydiving fall. The key points are that energy cannot be created or destroyed, only transformed between kinetic and potential forms, and this transformation can be represented using energy bar charts.BOUND STATE SOLUTION TO SCHRODINGER EQUATION WITH MODIFIED HYLLERAAS PLUS INV...
BOUND STATE SOLUTION TO SCHRODINGER EQUATION WITH MODIFIED HYLLERAAS PLUS INV...ijrap
Ìý
In this work, we obtained an approximate bound state solution to Schrodinger equation with modified
Hylleraass plus inversely quadratic potential using Supersymmetric quantum mechanics approach.
Applying perkeris approximation to the centrifugal term, we obtained the eigen-energy and the normalized
wave function using Gauss and confluent hypergeometric functions. We implement Fortran algorithm to
obtained the numerical result of the energy for the screening parameter α = 0.1,0.2,0.3, 0.4 0.5 and .
The result shows that the energy increases with an increase in the quantum state. The energy spectrum
shows increase in angular quantum state spacing as the screening parameter increases. Chapter 4 work, energy and power
Chapter 4 work, energy and powermohd_mizan
Ìý
- This chapter discusses work, energy, and power. It explains the relationships between these concepts and covers energy changes and mechanical efficiency.
- Students will learn to define and calculate work, energy, and power using formulas like kinetic energy (Ek = 1/2mv2), gravitational potential energy (Ep = mgh), and power (P = W/t). They will also learn about the conservation of energy and conversions between different energy forms.
- Examples are provided to demonstrate calculating speed, work, efficiency, and more by applying the relevant formulas to mechanical systems and problems.Selected ch25
Selected ch25xajo2013
Ìý
- The document provides the solution to problem 25.72 from the textbook, which asks to derive an expression for the total electric potential energy of a solid sphere with uniform charge density.
- The sphere is modeled as being built up of concentric spherical shells, with each shell carrying a small charge dq.
- The expression derived for the total potential energy is Ue = (3/5)kεQ2/R, where Q is the total charge on the sphere, R is the radius, and kε is the Coulomb's constant.
- The derivation involves integrating the electric potential energy dUe = Vdq over the volume of the sphere, where V is the potential and dq is the chargeBender schmidt method
Bender schmidt methodVaitheeswaran Gnanaraj
Ìý
The chapter discusses numerical methods for solving the 1D and 2D heat equation. Four methods are described for the 1D equation: Schmidt, Crank-Nicolson, iterative (Jacobi and Gauss-Seidel), and Du Fort-Frankel. The Schmidt method is explicit but conditionally stable, while Crank-Nicolson is implicit and unconditionally stable. Examples are solved using each method and compared to analytical solutions. The alternating direction explicit (ADE) method is described for the 2D equation.More Related Content
What's hot (19)
2 law and exergy change
2 law and exergy changeISEL
Ìý
The document discusses second law efficiencies and exergy change of systems. It defines second law efficiency for various devices like heat engines, work-producing devices, refrigerators, and general processes. Second law efficiency compares the actual performance of a device to its theoretical maximum performance under reversible conditions. The exergy change of a closed system depends on the change in internal energy, pressure-volume work, and entropy between initial and final states, accounting for environmental properties. Exergy can represent the useful or recoverable work of a system.FJMS
FJMSMohammad Hassan Mohammadi
Ìý
This document summarizes a research paper that develops a three-dimensional mathematical model of heat transfer using the stream function approach and numerical solution via finite element methods. The modeling is based on conservation of mass, momentum, and energy. Differential equations for continuity, Navier-Stokes, and heat transfer are derived and expressed in terms of the stream function. The system is then converted to a variational formulation and discretized using finite elements to obtain a numerical solution.The wkb approximation..
The wkb approximation..DHRUBANKA Sarma
Ìý
The document discusses the WKB approximation method for solving the Schrodinger equation. It can be used to obtain approximate solutions for bound state energies and transmission probabilities through potential barriers in quantum mechanics. The WKB approximation assumes that the potential V(x) varies slowly compared to the wavelength and that the wavefunction can be expressed as a slowly varying amplitude multiplied by an oscillating phase factor. It provides expressions for the wavefunction in classically allowed and forbidden regions, and connection formulae to match solutions at turning points. An example of applying WKB to a potential square well with a bumpy bottom is also presented.Lecture 3-4: Exergy, Heating and Cooling, Solar Thermal
Lecture 3-4: Exergy, Heating and Cooling, Solar Thermalcdtpv
Ìý
The document discusses various topics related to energy and thermodynamics, including:
1) Different systems that can store 1 kW hr of energy and why we pay more for some forms.
2) The concept of exergy, which quantifies how useful energy is, and how it is lost as heat is converted to less useful forms.
3) Examples of heat engines and refrigerators/heat pumps, and calculations of their maximum possible efficiencies.
4) Ways of improving energy efficiency for heating, such as reducing heat loss, increasing heat pump coefficients of performance, and using combined heat and power systems.Electrostatics123
Electrostatics123Poonam Singh
Ìý
This document discusses several topics in electrostatics including:
1. Coulomb's law which states that the electrostatic force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
2. Electric dipoles which have a dipole moment defined as a vector from the negative to positive charge. An external electric field does no work on a dipole but exerts a torque tending to align it with the field.
3. The potential energy of an electric dipole in an external electric field which is minimum when the dipole is aligned with the field.Chemical dynamics, intro,rrk, rrkm theory by dr. y. s. thakare
Chemical dynamics, intro,rrk, rrkm theory by dr. y. s. thakarepramod padole
Ìý
1) The document discusses various theories of unimolecular reaction kinetics including the Lindemann theory, Hinshelwood theory, RRK theory, and RRKM theory.
2) The RRK (Rice-Ramsperger-Kassel) theory was extended and redefined by Marcus in 1951-1952 to form the RRKM (Rice-Ramsperger-Kassel-Marcus) theory.
3) The RRKM theory is widely used today to interpret thermal and photochemical reactions. It models reactions using a set of coupled classical harmonic oscillators and calculates reaction rates by summing over the accessible quantum states.Solving a problem of fluide dynamics
Solving a problem of fluide dynamics NaimulZafran
Ìý
A pump drawing A solution (specific gravity =1.8) from A storage tank through an 8 cm steel pipe in which the flow velocity is 0.9 m/s. The pump discharges through A 6 cm steel pipe to an overhead tank, the end of discharge is 12 M above the level of the solution in the feed tank. If the friction losses in the entire piping system are 5.5 M and pump efficiency is 65 per cent, determine :
Power rating of the pump.
Pressure developed by the pump.
RRKM
RRKMMixtli Campos-Pineda
Ìý
1) The document reports on a computational study of the chemical mechanism and kinetics of the ocimene ozonolysis reaction in the atmosphere. Rate constants and lifetimes of reaction intermediates were calculated.
2) RRKM theory and canonical variational transition state theory (CVTST) were used to derive kinetic equations and calculate microcanonical rate constants for the elementary reaction steps.
3) Results show ocimene has a short lifetime of 86 minutes, while some intermediates have longer lifetimes of days. The kinetic data provides insight into secondary organic aerosol formation from biogenic monoterpene oxidation.47rrkmtheory11 190428142321
47rrkmtheory11 190428142321NehaDhansekar
Ìý
This document summarizes Rice-Ramsperger-Kassel-Marcus (RRKM) theory, which describes the rates of unimolecular reactions. RRKM theory originated from Lindemann-Christiansen theory and considers how energy is distributed among vibrational modes. During the 1950s-1952, R.A. Marcus merged transition state theory with RRK theory. RRKM theory accounts for individual vibrational frequencies and classifies energy as either active or inactive. It can explain high pre-exponential factors and has been used to study reactions like isomerization, though limitations include uncertainty in activated complex vibrational frequencies.Ce 255 handout
Ce 255 handoutDanielAkorful
Ìý
- The document describes the conjugate beam method for analyzing beams with varying rigidities.
- The method involves drawing an imaginary conjugate beam that is loaded based on the bending moments of the real beam.
- The slope and deflection of points on the real beam can then be determined from the shear and bending moment of the corresponding points on the conjugate beam.
- An example problem is worked out in detail to demonstrate calculating the slope and deflection at the end of a cantilever beam with varying moment of inertia along its length using the conjugate beam method.Hinshel wood theory
Hinshel wood theoryDongguk University
Ìý
Sir Cyril Hinshelwood and Nikolaevich received the 1956 Nobel Prize in Chemistry for their research on chemical reaction mechanisms. Hinshelwood modified Lindemann's explanation for unimolecular reactions by proposing that energized molecules (A*) may store energy in various molecular bonds and vibrational degrees of freedom, rather than immediately reacting. This statistical distribution of energy among s degrees of freedom leads to a modified rate constant expression containing an additional term of 1/(s-1) that can account for much higher observed reaction rates. However, Hinshelwood's theory does not fully explain some experimental observations such as the temperature dependence of rate constants and nonlinear plots of 1/k1 versus concentration.Work and energy
Work and energysibo081
Ìý
I do not have enough information to fully answer the questions. The passage provides the kinetic energy and heights of points A and B, but does not give the mass of the block, which is needed to calculate kinetic energy at B using the work-energy theorem. It also does not provide the distance or time of travel between B and C, which would be needed to calculate the work done by friction during the BC segment.On Various Types of Ideals of Gamma Rings and the Corresponding Operator Rings
On Various Types of Ideals of Gamma Rings and the Corresponding Operator RingsIJERA Editor
Ìý
The prime objective of this paper is to prove some deep results on various types of Gamma ideals. The
characteristics of various types of Gamma ideals viz. prime/maximal/minimal/nilpotent/primary/semi-prime
ideals of a Gamma-ring are shown to be maintained in the corresponding right (left) operator rings of the
Gamma-rings. The converse problems are also investigated with some good outcomes. Further it is shown that
the projective product of two Gamma-rings cannot be simple.
AMS Mathematics subject classification: Primary 16A21, 16A48, 16A78Rocket Test!
Rocket Test!chipkidclp
Ìý
This document summarizes the results of rocket test experiments. It includes graphs of horizontal and total velocity over time. It also provides the solutions to questions about maximum y velocity at different times, position and time calculations, kinetic and potential energy graphs, and calculations for rocket landing distance and efficiency accounting for air resistance. However, the full working details are not included due to space constraints.Physics Assignment Help
Physics Assignment HelpStatistics Homework Helper
Ìý
I am Ben R. I am a Statistics Assignment Expert at statisticshomeworkhelper.com. I hold a Ph.D. in Statistics, from University of Denver, USA. I have been helping students with their homework for the past 5 years. I solve assignments related to Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.
You can also call on +1 678 648 4277 for any assistance with Statistics Assignments.Engineering Mechanice Lecture 03
Engineering Mechanice Lecture 03Self-employed
Ìý
This document provides an outline for a lecture on fundamental mechanics concepts including forces, force systems, moments, and moment of forces. Key points covered include:
- Definitions of concurrent and non-concurrent force systems, and parallel force systems. Concepts of resultant forces and free body diagrams.
- Definition of moment as the turning effect of a force, calculated as the product of the force and its perpendicular distance from the point of interest. Sign conventions for clockwise and anti-clockwise moments.
- Principle of transmissibility which states a force's effect is the same along its line of action.
- Several example problems demonstrating calculation of moments for single and combined force systems using the moment equation andTime Dependent Perturbation Theory
Time Dependent Perturbation TheoryJames Salveo Olarve
Ìý
The presentation is about how to evaluate the probability of finding the system in any particular state at any later time when the simple Hamiltonian was added by time dependent perturbation. So now the wave function will have perturbation-induced time dependence.Work energy power 2 reading assignment -revision 2 physics
Work energy power 2 reading assignment -revision 2 physicssashrilisdi
Ìý
This document discusses basic energy concepts including work, kinetic energy, potential energy, and the law of conservation of energy. It provides equations to calculate work (W=FΔx), kinetic energy (KE=1/2mv^2), and gravitational potential energy (GPE=mgh). Examples are given to demonstrate calculating energy transformations during events like a swing or skydiving fall. The key points are that energy cannot be created or destroyed, only transformed between kinetic and potential forms, and this transformation can be represented using energy bar charts.BOUND STATE SOLUTION TO SCHRODINGER EQUATION WITH MODIFIED HYLLERAAS PLUS INV...
BOUND STATE SOLUTION TO SCHRODINGER EQUATION WITH MODIFIED HYLLERAAS PLUS INV...ijrap
Ìý
In this work, we obtained an approximate bound state solution to Schrodinger equation with modified
Hylleraass plus inversely quadratic potential using Supersymmetric quantum mechanics approach.
Applying perkeris approximation to the centrifugal term, we obtained the eigen-energy and the normalized
wave function using Gauss and confluent hypergeometric functions. We implement Fortran algorithm to
obtained the numerical result of the energy for the screening parameter α = 0.1,0.2,0.3, 0.4 0.5 and .
The result shows that the energy increases with an increase in the quantum state. The energy spectrum
shows increase in angular quantum state spacing as the screening parameter increases. Similar to Energy of block on a spring (9)
Chapter 4 work, energy and power
Chapter 4 work, energy and powermohd_mizan
Ìý
- This chapter discusses work, energy, and power. It explains the relationships between these concepts and covers energy changes and mechanical efficiency.
- Students will learn to define and calculate work, energy, and power using formulas like kinetic energy (Ek = 1/2mv2), gravitational potential energy (Ep = mgh), and power (P = W/t). They will also learn about the conservation of energy and conversions between different energy forms.
- Examples are provided to demonstrate calculating speed, work, efficiency, and more by applying the relevant formulas to mechanical systems and problems.Selected ch25
Selected ch25xajo2013
Ìý
- The document provides the solution to problem 25.72 from the textbook, which asks to derive an expression for the total electric potential energy of a solid sphere with uniform charge density.
- The sphere is modeled as being built up of concentric spherical shells, with each shell carrying a small charge dq.
- The expression derived for the total potential energy is Ue = (3/5)kεQ2/R, where Q is the total charge on the sphere, R is the radius, and kε is the Coulomb's constant.
- The derivation involves integrating the electric potential energy dUe = Vdq over the volume of the sphere, where V is the potential and dq is the chargeBender schmidt method
Bender schmidt methodVaitheeswaran Gnanaraj
Ìý
The chapter discusses numerical methods for solving the 1D and 2D heat equation. Four methods are described for the 1D equation: Schmidt, Crank-Nicolson, iterative (Jacobi and Gauss-Seidel), and Du Fort-Frankel. The Schmidt method is explicit but conditionally stable, while Crank-Nicolson is implicit and unconditionally stable. Examples are solved using each method and compared to analytical solutions. The alternating direction explicit (ADE) method is described for the 2D equation.ch03.pptx
ch03.pptxHebertNelsonQuionezO
Ìý
This chapter discusses systems of two first order differential equations. It introduces linear systems with constant coefficients, which can be solved using eigenvalues and eigenvectors. The chapter presents methods to find the general solution of homogeneous systems and the solution satisfying initial conditions. Graphical approaches are described, including direction fields and phase portraits to visualize solutions. An example of a two-equation model of a rockbed heat storage system is provided and transformed into matrix notation.
Physics_100_chapt_5.ppt
Physics_100_chapt_5.pptMusaRadhi1
Ìý
- Work is defined in physics as force multiplied by the distance moved parallel to the force (Work = F x dist∥). No work is done if there is no movement parallel to the force.
- The work-energy theorem states that work done on or by an object equals its change in kinetic energy. It can also be expressed as a conservation of energy principle where the total mechanical energy (potential + kinetic) remains constant.
- Potential energy can take the form of gravitational potential energy (mgh) or spring potential energy (1/2kx^2). Conservative forces simply change the type of energy but total energy is conserved. Dissipative forces like friction convert mechanical energy to heat which cannot be recoveredPhysics_100_chapt_5.ppt
Physics_100_chapt_5.pptMOHDHAMZAKHAN6
Ìý
- Work is defined in physics as the product of the force applied and the distance moved in the direction of the force. This definition relates work to a change in kinetic energy according to the work-energy theorem.
- The work-energy theorem states that the work done by conservative forces, such as gravity or elastic forces like springs, results in a change in the total mechanical energy of a system (the sum of potential and kinetic energy). This explains how energy is conserved in various situations.
- Energy can be transferred and transformed, but the total quantity of energy remains constant according to the law of conservation of energy. For example, work done by friction results in a change in heat energy rather than a change in mechanical energy5147871.ppt
5147871.pptAugustineCHIINgek
Ìý
This document summarizes key concepts about the conservation of energy. It discusses:
1) Different types of energy including kinetic, potential (gravitational and elastic), and internal energy.
2) Isolated and non-isolated systems and how energy is transferred across boundaries.
3) Ways energy can be transferred including work, heat, electromagnetic radiation, and more.
4) The principle of conservation of energy - that energy cannot be created or destroyed in an isolated system, only transferred.Energy of block on a spring
- 1. Learning Object Energy of a Block on a Spring Given that when a particular block of 25 grams oscillates with a maximum displacement of 12 cm from the equilibrium point, determine both the total energy for the system and the block’s velocity at 4 cm. above the equilibrium point. Hint: Think about the block’s kinetic energy at 12 cm, and what the total energy must be a combination of.
- 2. Solution: Since total energy is just a sum of kinetic energy and potential energy, set up the equation with mass as 25, velocity as 0, and 0.12 meters as the height. Then solve for total energy. E = KE + PE E = 0.5mv^2 + mgh E = 0.5(25)(0^2) + 25(9.8)(0.12) E = 29.4 J When the block is 4 cm above the equilibrium height, you substitute 0.04 in for h. The entire equation must always equal 29.4 because of the conservation of energy, so solve for v in the equation. 29.4 = 0.5(25)v^2 + 25(9.8)(.04) 29.4 = 12.5v^2 + 9.8 19.6 = 12.5v^2 v^2 = 1.568 v = 1.252 m/s