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It's one thing to plug in all the numbers and say, "I know Newton's laws and I know how they work."
我们平时只是把数字代进公式,然后说,"我懂牛顿定律,也知道怎么使用"
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It's really amazing that what Newton did in the case of gravity was to find the expression for this.
这一点非常神奇,牛顿在引力方面的研究,只是为了找出这个的表达式
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Newton is not going to come and tell you what force the spring will exert when it's pulled by some amount.
牛顿不会过来告诉你,弹簧被拉伸一定量时会产生多大的力
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In fact, until we do electricity and magnetism the next semester, everything's going to be based on just the laws of Newton.
其实,在下学期学习电磁学之前,所有的内容都是基于牛顿定律的
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The point of Newton is, two things in the Law of Inertia, which one may think is trivial.
牛顿的观点是,惯性定律分两部分,可能有人觉得这种分法无关紧要
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The great discovery that Galileo and Newton made is that you don't need a force for a body to move at constant velocity.
伽利略和牛顿的伟大发现就是,物体不需要力来维持匀速运动
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So, Newton did not ever tell you what the expression for force is in a given context.
牛顿从来也没有告诉过你,在这种情况下力的表达式
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Except for electromagnetism, the basics of mechanics, which is the motion of Billiard balls and trucks and marbles and whatnot, was set up by Newton.
除电磁学外,力学的基础,也就是台球,卡车,弹球以及其它小玩意儿的运动原理,都是由牛顿建立起来的
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It's the 10 Newtons acting on it, because I know the 10 Newton is pushing me and I'm going to feel it even if I'm here.
他们认为这 10 牛的力作用在了物体上,因为这个力在推着物体前进,物体能感觉到的,即使没有直接接触
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By the way, Mr. Newton did not have math guys he could go to.
顺便说一下,牛顿先生可没有数学外援
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Newton. And he sent us on the road to understanding all the natural phenomena until the year 18-hundred-and-something when Maxwell invented the laws of electromagnetism and wrote down the famous Maxwell Equations.
他引领我们走上了探索自然现象之路,直到19世纪的某一年,麦克斯韦提出电磁学定律,并写下了著名的麦克斯韦方程组
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Of course, we have to also know how to plug in the numbers so we can pass all the tests, but it's good to understand the nature of the edifice set up by Newton.
当然,我们首先要知道怎么代数字,这样我们考试才能过关,但是如果能理解,牛顿的这一伟大杰作的本质就更好了
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Then the acceleration of the planet is the force of gravity between the planet and the Sun, which Newton will tell you is directed towards the Sun and it depends on how far you are.
行星的加速度源自,行星和太阳之间的作用力,牛顿认为这个力指向太阳,它的大小取决于行星离太阳有多远
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Newton says F = ma, so to make it a useful result of this problem, we know the mass of this guy.
牛顿指出 F = ma,这对于解决这个问题很有用,我们知道这个物体的质量
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If you invented it, we'd call it whatever your name is, but this is the guy who invented it, so it's called a Newton, usually denoted by a capital N.
如果是你发明的,我们就用你的名字当单位,但这个单位是他发明的,所以叫它牛顿,一般用大写字母 N 表示
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We'll give it a name, but by linking that T to that T, we can also figure out the same T must be exerted on this one by Newton's third law, because if this block is the only one that could be pulling this rope with T.
我们先给它命个名,把这个 T 和那个 T 联系起来,利用牛顿第三定律,我们可以知道这个 T 也一定作用在这个物体上,因为如果这个物体是唯一,受到绳子拉力 T 的物体
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