Now, gravity, well force, is equal to mass times acceleration, g and the acceleration due to gravity is g.
是重力,等于质量乘以加速度,由重力导致的加速度是。
And in terms of equations that we use, it's sometimes easier to plug in the fact, since momentum is equal to mass times velocity.
在我们使用方程这方面,事实上有时是很容易代入的,因为动量等于质量乘以速度。
First one says, if you knew the force acting on any body, without going into what caused the force, then you may set that force equal the mass times acceleration of the body.
第一部分是,如果你知道作用在任一物体上的力,无论这个力的来源是什么,都可以令力等于质量乘以物体的加速度
And this is just a Newtonian expression of momentum, the product of the mass of the electron times its instant velocity.
这只是牛顿学上关于动量的表达,用电子质量,乘以瞬时速度。
That's connected to mass times acceleration.
然后就能和质量乘以加速度联系上了
We can make some substitutions here using some of the derivation on the previous board which will give us the Planck constant divided by 2 pi mass of the electron times the Bohr radius.
在这里我们也可以,用我以前在黑板上写过的一些词来取代它,得到的是普朗克常数除以2π电子质量,再乘以波尔半径。
0 And it has a mass of 9.11 times 10 to the minus 31 kilograms The charge compensation comes out of the nucleus with the proton and it is positive 1.6 times 10 to the minus 19 coulombs.
它的质量是9。11乘以0,到负31千克,电荷补偿来自于,有质子的原子核,它是+1。6*10^库伦。
Square of the Planck constant times pi mass of the electron.
普朗克常量的平方,乘以π再乘电子的质量。
But its mass is 1800 times that of the electron.
但是它的质量是电子的1800倍。
And since we are not expecting the mass of the particle to change, what we really are saying is the uncertainty in its velocity times the uncertainty in its position is greater than the ratio of the Planck constant divided by 2 pi.
因为我们不期望,粒子质量发生变化,我们说的是,它速度的不确定度,乘以它位置的不确定度,比普朗克常量,除以2除以圆周率要大。
We can be precise about how much bigger by saying, "If the acceleration of a body to a given force is ten times that of a one kilogram mass, then this mass is one-tenth of one kilogram."
我们能精确地知道质量能大多少,只需要说,"如果物体在给定力作用下的加速度,是一个 1 千克物体的加速度的 10 倍,那这个物体的质量就是 1 千克的十分之一"
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