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Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...
4 Energy. Toggle Energy subsection. 4.1 General work-energy theorem ... Mechanical power: P = W = J s −1: M L 2 T −3: Every conservative force has a potential ...
The J-integral represents a way to calculate the strain energy release rate, or work per unit fracture surface area, in a material. [1] The theoretical concept of J-integral was developed in 1967 by G. P. Cherepanov [2] and independently in 1968 by James R. Rice, [3] who showed that an energetic contour path integral (called J) was independent of the path around a crack.
The ancient Greek understanding of physics was limited to the statics of simple machines (the balance of forces), and did not include dynamics or the concept of work. During the Renaissance the dynamics of the Mechanical Powers, as the simple machines were called, began to be studied from the standpoint of how far they could lift a load, in addition to the force they could apply, leading ...
The maximum work is thus regarded as the diminution of the free, or available, energy of the system (Gibbs free energy G at T = constant, P = constant or Helmholtz free energy F at T = constant, V = constant), whilst the heat given out is usually a measure of the diminution of the total energy of the system (internal energy).
where: is the rate of change of the energy density in the volume. ∇•S is the energy flow out of the volume, given by the divergence of the Poynting vector S. J•E is the rate at which the fields do work on charges in the volume (J is the current density corresponding to the motion of charge, E is the electric field, and • is the dot product).
This is because Carnot's theorem applies to engines converting thermal energy to work, whereas fuel cells instead convert chemical energy to work. [7] Nevertheless, the second law of thermodynamics still provides restrictions on fuel cell energy conversion. [8]
Ionizing radiation energy absorbed per unit mass gray (Gy = J/kg) L 2 T −2: Radiance: L: Power of emitted electromagnetic radiation per unit solid angle per emitting source area W/(m 2 ⋅sr) M T −3: Radiant intensity: I: Power of emitted electromagnetic radiation per unit solid angle W/sr L 2 M T −3: scalar Reaction rate: r: Rate of a ...