the amount energy evolved when a crystalline solid is formed from infinetly seperated atoms
answer is fatty acids (I had the exact same question in my Ap Test)
The elastic strain energy per unit volume, also known as the strain energy density, can be derived by integrating the stress-strain curve over the strain range. The area under the stress-strain curve represents the work done on the material, which is equivalent to the strain energy stored. By dividing this strain energy by the volume of the material, the strain energy density per unit volume can be obtained.
The formula as usually written is............. KE =1/2 mass * velocity squared KE = 1/2mV^2 but you can rewrite this as.......... KE = mV^2/2 which answers your question by saying........ mass and velocity squared are divided by 2 to get kinetic energy
E = mC squared The mass energy equation (Einstein' derivation) applied to sub atomic particles which shed protons to attain a more stable electrovalence leads to the energy associated with that bond being released Alpha particles ,beta particles or gamma particles Americium-241--->neptunium -237 + Alpha particle (Helium Nucleus)
The eigenvalues of an electron in a three-dimensional potential well can be derived by solving the Schrödinger equation for the system. This involves expressing the Laplacian operator in spherical coordinates, applying boundary conditions at the boundaries of the well, and solving the resulting differential equation. The eigenvalues correspond to the energy levels of the electron in the potential well.
The derivation of the equation Emc2 is related to calculus through the concept of energy and mass conversion. Calculus helps in understanding the rate of change and how energy and mass are interconnected, leading to the development of this famous equation by Albert Einstein.
Temperature(s) is/are not derived, they are arbitarily decided scales. They are indirect measures of atomic/molecular vibrational energy.
The escape velocity is derived from the gravitational potential energy and kinetic energy equations, taking into account the mass of the object and the distance from the center of the gravitational field. It represents the minimum velocity needed for an object to break free from the gravitational pull of a celestial body, such as a planet or a star.
The energy levels of a particle in a box system are derived from the Schrdinger equation, which describes the behavior of quantum particles. In this system, the particle is confined within a box, and the energy levels are quantized, meaning they can only take on certain discrete values. The solutions to the Schrdinger equation for this system yield the allowed energy levels, which depend on the size of the box and the mass of the particle.
answer is fatty acids (I had the exact same question in my Ap Test)
The elastic strain energy per unit volume, also known as the strain energy density, can be derived by integrating the stress-strain curve over the strain range. The area under the stress-strain curve represents the work done on the material, which is equivalent to the strain energy stored. By dividing this strain energy by the volume of the material, the strain energy density per unit volume can be obtained.
The kinetic energy of anything is determined by the mass and velocity of the substance. This is represented in the equation: KE=(1/2)mv2
integration and derrivation have maney applications in chemical engineering .they are used to make calculions in heat transfer ,mass transfer,mass balance,energy balance ,fluid mechanic,process controle which are important topics in chemical engineering.
The one-dimensional elastic collision formula is derived from the principles of conservation of momentum and conservation of kinetic energy. By applying these principles to the collision of two objects in one dimension, the formula can be derived to calculate the final velocities of the objects after the collision.
The derivation of the element stiffness matrix in finite element analysis begins with formulating the potential energy of a system, typically through the principle of minimum potential energy or the principle of virtual work. By considering a linear elastic material under small deformations, the stiffness matrix is derived from the relationship between nodal forces and displacements, represented mathematically as ( {F} = [K]{u} ), where ([K]) is the stiffness matrix. The matrix is constructed by integrating the strain-displacement relationships over the element's volume and applying appropriate shape functions. Ultimately, this yields a matrix that relates the elemental nodal displacements to the internal forces within the element.
The mathematical derivation of te Law of Conservation of Energy is setting the First derivative of the energy to zero. The derivative being zero means there is no change (conservation) of energy.There are two problems in physics : first the formulation of energy is incorrect, energy is a quaternion quantity consisting of a scalar (potential) energy and a vector energy,E= Scalar + Vector = Es + Ev.Typical scalar energies are the gravitational scalar energy Es= -GmM/r and the electrical scalar energy Es= -qQzc/4pi r.The vector energy is generally Ev= mcV where V is the vector motion and c is the speed of light.The second problem in Physics is that the Derivative is also a quaternion,X= d/dr + Id/dx + jd/dy + kd/dz = d/dr + Del = d/cdt + Del where the scalar dr=cdtGiven the Quaternion nature of Physics, the mathematical derivation of the Law of Conservation of Energy is:0=XE= (dEs/dr - Del.Ev) + (dEv/dr + Del Es + Del xEv)For this first derivative to be zero there is another condition 0=DelxEv. This is required because the vector DelxEv is perpendicular to the other two vectors. If DelxEv is not zero the sum of the three vectors will not be zero. With 0= DelxEv, the other vectors are collinear and opposite to reduce to zero.Therefore, the mathematical and physics Law of Conservation of Energy is :0 = XE = (dEs/dr - Del.Ev) + (dEv/dr + Del Es)this quaternion equation resolves to a scalar equation and a vector equation:0 = (dEs/dr - Del.Ev) and0 = (dEv/dr + Del Es)dEs/dr=Del.Ev also called the Continuity Equation (dEs/cdt = Del.Ev)dEv/dr = -Del Es or dEv/cdt = -Del Es
The formula as usually written is............. KE =1/2 mass * velocity squared KE = 1/2mV^2 but you can rewrite this as.......... KE = mV^2/2 which answers your question by saying........ mass and velocity squared are divided by 2 to get kinetic energy