“potential energy”的概念、定义、翻译、参考文献-科学参考

potential energy

Physics

See energy.

Mathematics

With every conservative force there is associated a potential energy, often denoted as V, defined up to an additive constant. The change in potential energy during a time interval is defined to be the negative of the work done by the force during that interval. In detail, the change in V during the time interval from t₁≤t≤t₂, or equally from position r = p₁ to r = p₂ is equal to

$- \int_{t_{1}}^{t_{2}} F \cdot v d t = - \int_{p_{1}}^{p_{2}} F \cdot d r$

where v = dr/dt is the velocity of the point of application of the conservative force F. For example, if F = −k(x−l)i, as in Hooke’s law, then $V = \frac{1}{2} k {(x - l)}^{2}$ , taking the potential energy to be zero when x = l. In problems involving gravity near the Earth’s surface it may be assumed that the gravitational force is given by F =−mgk, and then, taking the potential energy to be zero when z = 0, V = mgz. See also gravitational potential energy.

Potential energy has the dimensions ML²T⁻², and the SI unit of measurement is the joule.

Chemistry

See energy.

Chemical Engineering

The capacity of a body to do work due to its elevation above a reference point. It is the product of weight and height.

Geology and Earth Sciences

See elevation potential energy; hydraulic head.

单词	potential energy
释义	potential energy Physics See energy. Mathematics With every conservative force there is associated a potential energy, often denoted as V, defined up to an additive constant. The change in potential energy during a time interval is defined to be the negative of the work done by the force during that interval. In detail, the change in V during the time interval from t₁≤t≤t₂, or equally from position r = p₁ to r = p₂ is equal to $- \int_{t_{1}}^{t_{2}} F \cdot v d t = - \int_{p_{1}}^{p_{2}} F \cdot d r$ where v = dr/dt is the velocity of the point of application of the conservative force F. For example, if F = −k(x−l)i, as in Hooke’s law, then $V = \frac{1}{2} k {(x - l)}^{2}$ , taking the potential energy to be zero when x = l. In problems involving gravity near the Earth’s surface it may be assumed that the gravitational force is given by F =−mgk, and then, taking the potential energy to be zero when z = 0, V = mgz. See also gravitational potential energy. Potential energy has the dimensions ML²T⁻², and the SI unit of measurement is the joule. Chemistry See energy. Chemical Engineering The capacity of a body to do work due to its elevation above a reference point. It is the product of weight and height. Geology and Earth Sciences See elevation potential energy; hydraulic head.
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