Why does an object with smaller mass hits the ground at same time compared to object with greater mass? I understand the acceleration due to gravity of earth will be same but won't the object with greater mass will fall faster?
I'm far from being a physics expert and figured this would be a good place to ask a beginner question that has been confusing me for some time.  According to Galileo, two bodies of different masses, dropped from the same height, will touch the floor at the same time in the absence of air resistance.  BUT Newton's second law states that $a = F/m$, with $a$ the acceleration of a particle, $m$ its mass and $F$ the sum of forces applied to it.  I understand that acceleration represents a variation of velocity and velocity represents a variation of position. I don't comprehend why the mass, which is seemingly affecting the acceleration, does not affect the "time of impact".  Can someone explain this to me? I feel pretty dumb right now :)
I'm new to TDD and xUnit so I want to test my method that looks something like:   List&lt;T&gt; DeleteElements&lt;T&gt;(this List&lt;T&gt; a, List&lt;T&gt; b);   Is there any Assert method that I can use ? I think something like this would be nice  List&lt;int&gt; values = new List&lt;int&gt;() { 1, 2, 3 }; List&lt;int&gt; expected = new List&lt;int&gt;() { 1 }; List&lt;int&gt; actual = values.DeleteElements(new List&lt;int&gt;() { 2, 3 });  Assert.Exact(expected, actual);   Is there something like this ? Can Git hook scripts be managed along with the repository? Lithium-6 isotope has an approximate magnetic momentum of $0.88\ \mu_N$ in its fundamental nuclear state. I'm trying to find its angular momentum and parity.  I found in a standard table: $I=1^+$ and while I get the parity part, I don't understand the rest. What I have done is filling the shells separately for protons and neutrons and finding that both have their outer particle in the $1 P_{3/2}$ state. Sum of these gives possible total angular momenta to be either $0$, $1$, $2$ or $3$.  So my question is: how do you choose between these to find the real value $I=1$? WPF ComboBox without drop-down button breaking of output into new lines I created a script ./abc.  I want to break the ouput into new lines.  mycode:  #!/bin/bash dir="$1"  echo -n "size of file:" du -hba $dir | sort -n -r | tail -1   my output is:   size of files: 20kb /path/to/sport   I want the output as:  size of files: 20kb          /path/to/sport consider positive numbers $a_1,a_2,a_3,\ldots,a_n$ and $b_1,b_2,\ldots,b_n$. does the following in-equality holds and if it does then how to prove it  $\left[(a_1+b_1)(a_2+b_2)\cdots(a_n+b_n)\right]^{1/n}\ge \left(a_1a_2\cdots a_n\right)^{1/n}+\left(b_1b_2\cdots b_n\right)^{1/n}$ convexity proof of a function including ln and sums When starring a message from the star board, it's not reflected in the main chat window Implicit newline at the end of each paragraph? In certain styles of text I define \parindent 0pt in the preamble and write the text in this manner:  paragraph 1\\  paragraph 2\\   and so forth. I wonder if there is anything I can include in the preamble for instance to modify how the end of paragraphs are interpreted so I don't have to include the \\ at the end of each? In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? When running apt-get -y install &lt;packages ...&gt; on Ubuntu 10.04 I would like apt-get (or aptitude if that makes it easier) to not prompt me when installing additional dependencies (behavior of -y as I understand it) and but not prompt me about overwriting configuration files, instead assume to keep the existing ones always (which is usually the default). Unfortunately --trivial-only seems to be the inverse of -y and not affect the prompt that is shown, according to the man page.  In particular packages auch as samba, nullmailer, localepurge and lighttpd have forced me to interact with the terminal, even though the whole procedure was scripted and meant to be non-interactive. Changing my Apple ID's email: address is not available Guidelines for customizing biblatex styles Global inbox message not updated after comment edit At the moment, I have the latest notification in the global inbox, content of which does not correspond either to the comment itself or the copy of it on "recent responses" page. This seems like the comment was edited and the updated version was not copied to the global inbox.    ETA: OK, now this looks more coherent. Trace map from finite surjective morphism of normal irreducible varieties Mail App keeps popping up in the background in Mac OS Mojave When I am doing some work on my macbook pro, Mail app's main window keeps popping up in the background, it even pops up when I watch movies by interrupting full screen. This is so frustrating, I can't find out solution to this, googled and went to many discussion forums, no luck, suggestions that I found are very old and outdated. Has anyone faced similar issues or does anyone knows solution to this? Hey guys I found one or two papers which use ridge regression (for basketball data). I was always told to standardize my variables if I ran a ridge regression, but I was simply told to do this because ridge was scale variant (ridge regression wasn't really part of our course, so our lecturer skimmed through it).  These papers I read didn't standardize their variables, which I found a bit surprising. They also ended up with large values of lambda (around the 2000-4000 level) via cross-validation, and I was told that this is due to not standardizing the variables.  How exactly does leaving the variable(s) unstandardised lead to high lambda values and also, what are the consequences of not standardizing the variables in general? Is it really such a big deal?  Any help is much appreciated. I have an unused copy of Mass Effect 2 Collector's Edition bought via Amazon.com in the US, including a special code for Inferno Armour (also unused).  Will it work fine if I install and start playing the game in the UK? Does geographical location matter?  Thanks! How do you get the footer to stay at the bottom of a Web page? I have a simple 2-column layout with a footer that clears both the right and left div in my markup.  My problem is that I can't get the footer to stay at the bottom of the page in all browsers.  It works if the content pushes the footer down, but that's not always the case. I always use lm() in R to perform linear regression of $y$ on $x$. That function returns a coefficient $\beta$ such that $$y = \beta x.$$  Today I learned about total least squares and that princomp() function (principal component analysis, PCA) can be used to perform it. It should be good for me (more accurate). I have done some tests using princomp(), like:  r &lt;- princomp( ~ x + y)   My problem is: how to interpret its results? How can I get the regression coefficient? By "coefficient" I mean the number $\beta$ that I have to use to multiply the $x$ value to give a number close to $y$.