To me, the horse's role is merely to transmit the force it is being pushed forward with by the ground over to the cart. So, let's say, the ground pushes horse with 20 N, the horse pulls cart with 20 N, the cart pulls horse with 20 N. If the force that the ground pushes the horse with is doubled, the force on the horse by the cart and on the cart by the horse should also be doubled and we are still left with 0 net force.
Given Newton's third law, why is there motion at all? Should not all forces even themselves out, so nothing moves at all? When I push a table using my finger, the table applies the same force onto my finger like my finger does on the table just with an opposing direction, nothing happens except that I feel the opposing force. But why can I push a box on a table by applying force ($F=ma$) on one side, obviously outbalancing the force the box has on my finger and at the same time outbalancing the friction the box has on the table? I obviously have the greater mass and acceleration as for example the matchbox on the table and thusly I can move it, but shouldn't the third law prevent that from even happening? Shouldn't the matchbox just accommodate to said force and applying the same force to me in opposing direction?
Is there a way to set the gnome-terminal title from within the terminal itself without having to right click on the tab. Something like:  active-terminal --title "Foo"   There was a related question previously with an answer that almost lets you do this:  but that doesn't set the gnome-terminal tab title only the window title. Cardinality of the quotient ring $\mathbb{Z}[x]/(x^2-3,2x+4)$ This problem is from a practice exam I was working on.     What is the cardinality of the quotient $\mathbb{Z}[x]/(x^2-3,2x+4)$ ?   Thoughts. If I find a ring that is easier to handle then this then I can go from there. So I think this is isomorphic to $\mathbb{Z}_2[x]/(x^2-3,x+2)$. And then I am stuck.  Am I correct so far? What should I be looking to do from here?  Thanks for your time and your answers. How can I run scripts automatically when Ubuntu starts up so I don't have to run them manually after startup? Datasets constructed for a purpose similar to that of Anscombe's quartet I've just come across  (four datasets that have almost indistinguishable descriptive statistics but look very different when plotted) and I am curious if there are other more or less well-known datasets that have been created to demonstrate the importance of certain aspects of statistical analyses. I simply can't figure out what the capacity of this circuit is.  I can do the math myself, I just need a hint how to create an equivalent circuit where it is obvious what is parallel and what is in series... how to use common modulus attack? I am struck with the following problem:  Let Alice, Bob, Chris and Eve communicate over a public network. They encrypt all messages they send using RSA system. Bob and Chris have the RSA modulus $n_B$ and $n_C$ respectively with $n_B$ = $n_C$ But different public encryption exponents: $e_B \neq e_C$. Suppose $\gcd(e_B, e_C)=1$, and that Alice sends the same secret message to Bob and Chris. Show how Eve can decipher the message. Thanking users who answered my question Quite often a number of users will give similar answers to one of my questions. Sometimes someone will give an answer that is interesting, but does not really help with my question.  In all cases, I feel a need to thank the people who answered my question. It isn't always appropriate for me to upvote every answer, and I can only accept one answer. Giving a "thanks" comment on every answer appears to be frowned upon.  So, what's the etiquette? $4 \sin 72^\circ \sin 36^\circ = \sqrt 5$ How do I establish this and similar values of trigonometric functions?  $$ 4 \sin 72^\circ \sin 36^\circ = \sqrt 5 $$ When should I begin publishing? How to install Metasploit and Armitage I want to install metasploit and armitage on my ubuntu 16.04 LTS laptop running kernel 4.6  I've read blogs and posts on how to install it but the problem is is that they are outdated. The packages are not there anymore and or the commands dont work.  If anyone can give me an updated tutorial on how to install it that would be great. I also think other users that see this post and want to install it will also be thankful. Thanks. Is there any reason to use this-> I am programming in C++ for many years, still I have doubt about one thing. In many places in other people code I see something like:  void Classx::memberfunction() {     this-&gt;doSomething(); }   If I need to import/use that code, I simply remove the this-> part, and I have never seen anything broken or having some side-effects.  void Classx::memberfunction() {     doSomething(); }   So, do you know of any reason to use such construct?  EDIT: Please note that I'm talking about member functions here, not variables. I understand it can be used when you want to make a distinction between a member variable and function parameter.  EDIT: apparent duplicate: Word for obscuring bad or immoral acts with verbiage I have been in many scenarios where people try to obscure/reduce the intensity of a seemingly bad or immoral act using grammar. E.g. Assuming Thomas killed a dog, you could hear something like:     There's essentially nothing wrong about palliating the miserable life   of a despondent being. If there was any issue here, I'd say it's not   consulting a veterinary doctor first but I've come to understand that some people are just straightforward.   How does one react to the above mumbo jumbo? I think there are similar situations also found in law courts. What can this be referred to as? Grammatification, obscure tactics? Why Listen to Music, why not Listening Music Why are naturals < modulus equal if congruent? [uniqueness of remainder] Let $a$, $b$, and $n$ be integers with $0 \le a \lt n$ and $0 \le b \lt n$. Suppose $a \equiv b \pmod n$. Then $a-b=0$ and $a=b$. Why does the congruence of two non negative integers imply that they must be equal? Can Java's NullPointerException be changed to report on which variable was null? At 12 o'clock, the hour hand and minute hand of the clock can be swapped, and the clock still gives the same time, but at 6 o'clock, it can not be swapped. So in what cases when we swap the hour and the minute hand position does a clock still give a valid time? Who are the users that work for Stack Overflow? How many Shutter Clicks on a New Camera considered normal? How many Shutter Clicks on a New Camera considered normal?    I purchased a quotes new Nikon D750 and checked the shutter count and it has 264 Shutter Clik count on it.    Is that suspect of a returned purchase or used camera? What does the second column in the output of 'ls -n' mean? Difference between standard error and standard deviation I'm struggling to understand the difference between the standard error and the standard deviation. How are they different and why do you need to measure the standard error?