2019年3月9日 · Since this is the work done on the object by the force, it is equal to the energy transferred to the kinetic energy store of the object. In other words, it is the energy the object has gained because it is moving — its kinetic energy, no less: Ek = mv2. On a Singapore Bar Model diagram this can be represented as follows:

You'll notice, as you study physics more, that a factor of one-half often accompanies squared quantities. For example: $\frac{1}{2}mv^2$ $\frac{1}{2}CV^2$ $\frac{1}{2}LI^2$ These are kinetic energy, capacitor energy and inductor energy respectively.

2020年3月14日 · 四维速度的空间分量v/√ (1-v^2/c^2)，乘以静质量m，就是四维动量的空间分量 mv/√ (1-v^2/c^2). 早期爱因斯坦阴差阳错地，把m与分母搞到一起，搞了个“动质量”的混乱概念，后来他提出了纠正。 动质量不是一个好概念，就像普通速度也不是好概念。 四维速度+静质量（废弃动质量概念）才是好概念。 见： 我要玩，GTNH！ 知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解， …

In short, the half in kinetic energy comes from a Taylor expansion of the relativistic energy formula since the formula 1/2mv2 is only an approximation of special relativity. The half in kinetic energy can also be explained as an integration factor from the work-energy theorem.

2023年10月11日 · The Kinetic Energy Calculator uses the formula KE = (1/2)mv 2, or kinetic energy (KE) equals one half of the mass (m) times velocity squared (v 2). The calculator uses any two known values to calculate the third.

实际上刚开始莱布尼茨等人提出的一个叫做“活力”的守恒量（实际上就是动能）的表达式就是 mv^2 ，后来由科里奥利加了一个1/2的因子。 自由粒子的情况只能确定 mv^2 守恒，不能将A定下 …

2013年5月12日 · The sum of all of the kinetic energy created across all objects equals the amount of energy so applied, but since any single object (used very loosely) can only "own" the one-half of the energy associated with its total greater momentum-neutral motion, that is therefore also all that it can transmit by passing on its own momentum in a collision.

2020年5月24日 · We can at best recast the equation into the form $$T = \text{Sc}\text{J}^{-1} mv^2$$ where the factor ##\text{Sc}\text{J}^{-1}## equals one half. It was thus incorrect of me to omit the leading units.

前者偏向于瞬时的，后者偏向于一个过程。 说开一点。 常见的 F=m\frac {dv} {dt} 是牛顿第二定律的微分形式。 将式子对时间或距离积分可以得到积分形式。 例如对距离积分： 我们把力在距离上的累积 A=\int Fdr 这个量称为功，这是一个过程量，要考虑累积的整个过程；把 E_k=\frac {1} {2}mv^2 称为动能，这是一个状态量，某个瞬间质点具有的衡量由运动携带的能量大小的量。

2015年5月25日 · To the best of my knowledge, energy equals work, E = W E = W; work equals force multiplied by distance, W = Fm W = F m ; force equals mass multiplied by acceleration, F = MA F = M A; and acceleration equals distance per second squared, A = m ∖s2 A = m ∖ s 2.