In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest. Formally, a kinetic energy is any term in a system's Lagrangian which includes a derivative with respect to time.
In Newtonian mechanics, linear momentum, translational momentum, or simply momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. If m is an object's mass and v is its velocity, then the object's momentum p is :
In physics, power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Objects that tensors may map between include vectors and scalars, and even other tensors. There are many types of tensors, including scalars and vectors, dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system.
The Bernese Alps are a mountain range of the Alps, located in western Switzerland. Although the name suggests that they are located in the Berner Oberland region of the canton of Bern, portions of the Bernese Alps are in the adjacent cantons of Valais, Fribourg and Vaud, the latter being usually named Fribourg Alps and Vaud Alps respectively. The highest mountain in the range, the Finsteraarhorn, is also the highest point in the canton of Bern.
The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. The equation is named after Erwin Schrödinger, who postulated the equation in 1925, and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933.
The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stated by Benoît Paul Émile Clapeyron in 1834 as a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law. The ideal gas law is often written in an empirical form:
In physics, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, it is often represented as the product of force and displacement. A force is said to do positive work if it has a component in the direction of the displacement of the point of application. A force does negative work if it has a component opposite to the direction of the displacement at the point of application of the force.
In thermodynamics, the Gibbs free energy is a thermodynamic potential that can be used to calculate the maximum work that may be performed by a thermodynamically closed system at constant temperature and pressure. It also provides a necessary condition for processes such as chemical reactions that may occur under these conditions.
In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics. It is named after German biochemist Leonor Michaelis and Canadian physician Maud Menten. The model takes the form of an equation describing the rate of enzymatic reactions, by relating reaction rate to , the concentration of a substrate S. Its formula is given by
In physics and relativity, time dilation is the difference in the elapsed time as measured by two clocks. It is either due to a relative velocity between them or to a difference in gravitational potential between their locations. When unspecified, "time dilation" usually refers to the effect due to velocity.
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding eigenvalue, often denoted by , is the factor by which the eigenvector is scaled.
A capacitor is a device that stores electrical energy in an electric field. It is a passive electronic component with two terminals.
The Schynige Platte is a small mountain ridge and a viewpoint in the Bernese Highlands and belongs to the Schwarzhorn group. The mountain range consists of three peaks: Gumihorn, Tuba, and the closest summit next to the viewpoint, Geiss. The viewpoint lies at an altitude of about 2,000 metres (7,000 ft), at the western end of a prominent ridge of the Schwarzhorn group, which separates the valley of the Schwarze Lütschine from Lake Brienz.
The Lauterbrunnen Wall is a term used in the English-speaking mountaineering world to refer to a north-west-facing mountain wall in the Bernese Alps in Switzerland. It runs for 8 kilometres from the Gletscherhorn in the east, through the Ebnefluh,, the Mittaghorn (3,897m) and the Grosshorn, to the Breithorn in the west, where the wall comes to an end at the col which separates it from the Tschingelhorn. The Wall is named after the village of Lauterbrunnen, which lies to the north.
The Gross Lohner, is a limestone mountain of the Bernese Alps, located between Adelboden and Kandersteg in the Bernese Oberland. The main summit has an elevation of 3,048.7 metres (10,002 ft) above sea level and is distinguished by the name Vorder Lohner. The mountain features several other peaks, from east to west:
The Hollandia Hut is a mountain hut of the Swiss Alpine Club, located east of Blatten in the canton of Valais. The hut lies at a height of 3,240 metres above sea level, just above the Lötschenlücke, the glacier pass connecting the Lötschental from the Aletsch Glacier. All accesses to the hut involve glacier crossing.
The Sigriswiler Rothorn is a mountain of the Emmental Alps, located north of Sigriswil in the canton of Bern. With an elevation of 2,051 metres above sea level, it is the culminating point of the chain named Sigriswilergrat.
The Rappehorn is a mountain of the Lepontine Alps, located in the canton of Valais, west of the Blinnenhorn.
The Mittaghorn is a 3,892-metre-high (12,769 ft) mountain in the Bernese Alps.
