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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。
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Therefore, when you divide by the mass to get the acceleration, the response of different bodies is inverse to the mass.
因此,当你拿力除以质量得到加速度时,不同物体的加速度与质量成反比
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You will learn in 8.02 that if you have a charged body changing direction, that constitutes an acceleration.
你们将在8。02中学到,如果一个带电体改变方向时，产生一个加速度。
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So, a massless body cannot have a net force on it, because the acceleration of the rope cannot be infinite.
所以没有质量的物体不会受到力,因为绳子的加速度不可能是无穷大
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Take the difference of the two velocities and divide by the difference of the two times, and you've got the acceleration.
求出速度的差值,除以时间的差值,这样就能得到加速度
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In fact, it has to be some finite number, which is the acceleration of either of these two guys.
事实上它必须是有限的数值,也就是这两个物体某中某一个的加速度
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Again, your common sense tells you, "Look, you are pulling something whose effective mass seems to be 5, the answer is 2."
你的常识会又一次告诉你,"你在拉一个相当于 5 千克的物体,所以加速度是 2 "
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The answer is that simply knowing the particle has an acceleration is not enough to tell you where the particle will be.
答案是这样的,仅仅知道质点的加速度,是不足以告诉你它接下来的运动的
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The advantage of introducing that guy is that if you like, I can now write an equation for the acceleration as a vector.
引入它的好处是,如果你愿意的话,我可以把加速度写成矢量形式
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It's useful to have the average acceleration, which you can find by taking similar differences of velocities.
平均加速度也是很有用的,你可以用类似方法,取速度的变化量求出来
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When you're falling to the surface of the Earth, you are describing a problem of constant acceleration.
当你讨论下落问题时,你在描述一个加速度恒定的问题
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In other words, you don't have to be moving actually in a circle to have the acceleration.
也就是说,你不必真的在一个圆上运动以获得相应的加速度
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If I pull the one kilogram mass and I let it go, it does something, some acceleration.
如果我拉 1 千克重的物体并松手,就会获得一个加速度
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And know intuitively that if they move together, they will behave like an object of mass 5 and the acceleration will again be 2.
凭直觉认为既然它们一起运动,那么它们就相当于一个质量为 5 千克的物体,然后我们可以算出加速度为 2
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And, you know acceleration means either change of speed or change of direction.
你知道加速度意味着,不是改变速度就是改变方向。
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One is inertial mass, which is how much you hate your velocity to change, how hard you resist acceleration.
一个是惯性质量,它反映了物体速度改变的难易程度,即保持加速度的难易程度
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But the acceleration it produces on the elephant and on the mass, are in an inverse ratio of their masses.
但这个力使大象和物体产生的加速度,与它们的质量成反比
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You cannot have a spring pulled only at one side, because then it will then accelerate with infinite acceleration in that direction.
你不可能对弹簧只施加一边的拉力,因为那样的话弹簧就会以无穷大的加速度加速,就在这个方向上
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Now I can measure that, because I pull it by one centimeter and I find the acceleration it exerts on a known mass.
现在就能测量这个力了,因为把弹簧拉伸 1 厘米,我就知道它让一个质量已知的物体产生的加速度
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Simply knowing the acceleration is not enough to tell you where it was at the initial time.
仅仅知道加速度是,不足以告诉你它在初始时刻的位移的
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So, when you divide by the mass to get the acceleration, you get the same answer.
因此,当等号两边除以质量来求加速度时,结果是相同的
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This particle is constantly changing its direction, but it therefore has an acceleration and the acceleration, we have shown here, is pointing towards the center.
这个质点恒定地改变它的运动方向,因此它具有加速度,而且这个加速度,我们前面也讲过了,指向圆心
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It says that, "If a body has an acceleration, then you need a force and the relation of the force to acceleration is this thing."
它是这么说的,"如果一个物体有加速度,那么你需要有一个力,力和加速度的关系是这样的"
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A limited class of problems is one in which the acceleration is just a constant.
在这类有限的问题里,加速度均为常数
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If every time I get the same acceleration, I'm convinced this is a reliable spring that is somehow producing the same force under the same condition.
如果每次都能得到相同的加速度,这个弹簧的可靠性就能令人信服,即它在相同的条件下能够产生相等的力
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Their difference divided by the difference in times is going to be the acceleration.
它们的差值再除以时间的差值,就是加速度
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That is 6 Newtons divided by 3 kg is also an acceleration of 2.
即,6 牛除以 3 千克同样得到加速度是 2
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But if you imagine making these measurements more and more and more quickly, in the end, you can measure what you can say is the acceleration now.
但如果你想越来越短的时间内,测量这些数据,最终,你会测量出你所说的现在的加速度
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As you start on the top and go down, your acceleration is negative.
当你在顶楼准备下降的时候,你的加速度是负的
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Then you guys know, you just told me, acceleration is -9.8, We call it "minus" because it's accelerating down and up was taken to be the positive direction.
然后你们都知道,你告诉我,加速度是-9.8,我们取负号是因为加速度方向朝下,而正方向为竖直向上
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