
[力] 動能定理
A note on the applications of the theorem of kinetic energy;
運用系統的動能定理處理傳送帶的牽引力和功率問題。
The theorem of relativistic kinetic energy has been derived, and the normalized model of relativistic space charge wave is derived as well.
導出了相對論電子注的動功率流定律,求得了相對論空間電荷波的正規模式。
This paper points out that the method Lagrange Equations of the second kind for the system of particles from the theorem of kinetic energy is wrong, and analyses the causes of the mistake.
指出從動能定理出發直接推導具有理想約束的質點系的第二類拉格明日方程的方法是錯誤的,并分析了其錯誤的原因。
The kinetic energy theorem of mass variable system is derived from the kinetic equation of mass variable body.
從變質量物體的動力學方程出發,推導出變質量系統的動能定理。
The kinetic energy theorem of mass variable system is derived from the kinetic equation of mass variable body. The practical value of it is pointed out using an example.
從變質量物體的動力學方程出發,推導出變質量系統的動能定理。指明其實用價值,并舉例加以說明。
It is found that basic dynamic equations can be derived from the Chenzi theorem, including three Newton's laws of motion, kinetic energy theorem, the law of motion of the center of mass.
從陳子定理可以推導出質點動力學的基本定理,包括牛頓運動三定律,動能定理,質心運動定理。
A theorem on kinetic energy for variable mass-point and formula of work of recoil internal forces are given and the reason of soft-rope query is discussed.
給出變質量質點的動能定理和一對反推内力作功的表達式,并由此給出軟繩問題的正确解釋。
Many of these appear to be fairly uniform, so by the virial theorem the total kinetic energy should be half the total gravitational binding energy of the galaxies.
多數這些好象是很統一,因此靠維裡法則總動能應該是星系總引力聚合能的一半。
In accodance with kinetic energy theorem, this paper presents an angular mo- mentum theorem of velocity instantaneous centre axis. This theorem is a ****** and convenient scalar equation.
從動能定理出發,推導出一個對速度瞬心軸的角動量定理,它是一個簡便的标量方程。
The differential equations of motion of a particle constrained to moving in a constant speed are deduced from the kinetic energy theorem.
對于受速率為常數約束的運動質點,可以應用動能定理建立其運動微分方程。
The use of electrostatic theorem to explain chemical bonding has been criticized on the grounds of that it hides the important role of kinetic energy in bonding .
應用靜電定理以闡明化學成鍵,基于它隱藏了功能在成鍵中的重要作用,曾受到了批評。
動能定理(Theorem of Kinetic Energy)是經典力學中的核心定律之一,描述了物體動能變化與外力做功之間的關系。其核心表述為:物體動能的變化量等于合外力對該物體所做的功。用公式表示為:
$$ Delta E_k = W $$
其中:
能量守恒的體現
動能定理是機械能守恒定律在特定條件下的表現形式。當僅有保守力(如重力、彈力)做功時,系統機械能守恒;當存在非保守力(如摩擦力)做功時,機械能轉化為其他形式能量(如熱能),但總能量仍守恒。
因果關系的量化
定理建立了力對空間的累積效應(功)與物體運動狀态變化(動能改變)之間的定量聯繫。例如,汽車加速時發動機做功轉化為動能,刹車時摩擦力做功消耗動能。
權威參考來源:
動能定理(Theorem of Kinetic Energy)是經典力學中的核心定理之一,描述了物體動能變化與外力做功的關系。以下是詳細解釋:
動能定理表明:合外力對物體所做的總功(W)等于物體動能的改變量(ΔKE)。數學表達式為: $$ W{text{總}} = Delta KE = KE{text{末}} - KE_{text{初}} $$ 其中:
示例:質量為2kg的物體初速度為3m/s,受合力做功10J後,末動能 ( KE_{text{末}} = frac{1}{2} times 2 times 3 + 10 = 19 , text{J} ),對應末速度 ( v = sqrt{frac{2 times 19}{2}} approx 4.36 , text{m/s} )。
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