I multiply both sides with R squared.
两边都乘以R的平方。
the force, gravitational force, falls off as one over r squared.
,力，重力，随着r的平方而减少。
We came exactly to that conclusion-- that the gravitational acceleration falls off as one over r squared.
我们得到结论-,重力加速度,随r的平方而减少。
Therefore, you cannot escape the conclusion that the centripetal acceleration which is the result of gravity, falls off as one over R squared.
因此得出无懈可击的结论,这向心加速度,是由引力引起，并呈1/r2递减。
So if we want to talk about the volume of that, we just talk about the surface area, which is 4 pi r squared, and we multiply that by the thickness d r.
如果我们要讨论它的体积，我们要用的是表面面积，也就是4πr的平方，乘以厚度dr
a perfectly spherical shell dr at some distance, thickness, d r, dr we talk about it as 4 pi r squared d r, so we just multiply that by the probability density.
在某个地方的完美球型壳层,厚度，我们把它叫做4πr平方，我们仅仅是把它,乘以概率密度。
So, the number of nuclei, 119 if we were to sit and count these as well, is 119. So, we'll multiply that by just pi, r squared, to get that cross-section, and divide all of that by 1 .
如果你们数的话，原子核的数是，我们用它乘以πr的平方，得到横截面积，除以1。
But now notice, I can substitute now for this v squared, I can substitute the square of this that is the orbital speed and then I get M G over R.
现在注意我能,代替这个v平方，我能代入这个平方,那是轨道速度,然后得到MG在R上。
So instead of being equal to negative z squared, now we're equal to negative z effective squared times r h all over n squared.
这里不再等于-z的平方，现在我们等于-有效的z的平方,乘以RH除以n的平方。
So instead of being equal to negative z squared, now we're equal to negative z effective squared times r h all over n squared.
这里不再等于-z的平方，现在我们等于-有效的z的平方,乘以RH除以n的平方。
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