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Newtonian mechanics discusses the movement of classical bodies under the influence of forces by applying Newton’s three laws. For more general concepts, use [classical-mechanics]. For Newton’s description of gravity, use [newtonian-gravity].

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A little question about $F_g = F_c$

In continuation of the answer of Claudio Saspinksi: Choosing M as the inertial frame of reference gives $$\frac{GMm}{r^2} = m\omega^2 r \cdot \frac{M}{M+m}= m\omega^2 r \cdot (1 - \frac{m}{M+m})$$ wh …
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3 votes
4 answers
116 views

A little question about $F_g = F_c$

It is already some time ago that I was fluent in classical mechanics. I do not understand a certain detail in the formula $F_{grav.}=F_{centr.}$. Probably I overlook something simple. Suppose mass $m$ …
Gerard's user avatar
  • 7,071
3 votes
1 answer
293 views

Potential that is proportional to distance

Does anybody know of a treatment of the case where a potential field is proportional to the distance, i.e. in 3 dimensions: $$V(\vec{r}) ~\sim ~ |\vec{r}|~?$$ Essentially the question is: What are t …
Gerard's user avatar
  • 7,071
2 votes

Why does one experience a short pull in the wrong direction when a vehicle stops?

Perhaps it can be explained like this: At a certain moment the train pilot releases the brake system. At that point the heavy mass of the train is released from a rather powerfull constraint and it's …
Gerard's user avatar
  • 7,071
87 votes

Why does kinetic energy increase quadratically, not linearly, with speed?

The question is especially relevant from a didactical point of view because one has to learn to distingish between energy (work) and momentum (quantity of motion). The kinematic property that is pro …
Gerard's user avatar
  • 7,071
8 votes
3 answers
2k views

How about an exact solution for the position of a planet as a function of time?

Recently I was surprised to discover that no exact solution for the position of a planet as a function of time exists. I am referring to the two-body problem in a gravitational field where Newtons law …
Gerard's user avatar
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