I just thought of something I have no good  way of ruling out in my mind. Say someone is in free-fall, and is meant to, unfortunately, splat on the ground. Due to it accelerating, its speed will be increasing constantly with time. However, by considering two different definitions of Newton's Second Law, $\vec F = m \vec a$, and $\vec F = \dot p$, I seem to find a contradiction with my knowledge. According to the first definition, the force on the person in free-fall is constant (which I would agree with). However, when the person hits the ground, the force that which it imparts on the ground will have to do with its final velocity, I would think. One would say if the person is falling with a force of $50 \ N$ it will apply $50 \ N$ to the ground on impact, but this seems to be the case without considering how long the person was experiencing $50 \ N$ before hitting the ground I've found, or, at least when I've done exercises about these sorts of things. The final speed of the object, its mass, and the time in which the mass comes to a stop should determine the force felt by the ground, not just the force on the person falling. Is my confusion getting through? I feel like when I've considered the force a falling object applies on impact, it's merely the force experienced on the falling object applied to the ground, but I feel like this is misleading - whether the object falls for $1$ second or $10$, the force on it is the same, but its momentum would not. Perhaps this is just an oversimplification of my high school. Am I correct in thinking that the things I've listed are actually the important factors and not just the theoretical force experienced by the free-falling object?
I am trying to calculate the force of impact of a falling object. I did my egg drop project. I dropped the egg from 10m with a mass of 126kg and with the velocity of 14.1 m/s. Which formula should I use to calculate the force of impact? I found the kinetic energy first and later I used the following formula: $W=Fs$ to find the force of impact. Is that the right formula?
Gollum had his life largely extended because he possessed the One Ring. He appeared to be an old, deformed, and twisted creature.  According to , he had the Ring for 478 years. His loss of the Ring and the events of The Lord of the Rings are separated by around 77 years.  Did the Ring continue to extend his life after he lost it? In FreeBSD and also in Linux, how can I get the numerical chmod value of a file? For example, 644 instead of -rw-r--r--? I need an automatic way for a Bash script. Madurai to Germany via Dubai - SpiceJet I am an Indian citizen with a German residency permit. I am travelling from Germany to Dubai by Pegasus Airlines and then from Dubai to Madurai by SpiceJet separately, in both directions. I need to transfer myself in Dubai. I have found that transit is possible in Dubai airport via transit desk without UAE transit visa.  But, I have read on SpiceJet's website that Indian citizens travelling from India to Dubai need "Ok to Go" stamp in their passports. 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If I use hook_menu() the string that's returned will be the HTML within the rest of the site. I want the page to display only the string returned from the menu callback.  Should I use drupal_set_header() in the same way drupal_json() does? Is this not inefficient having fully bootstrapped Drupal, and then changing the header at the last minute?  I want the fastest code path possible since this is going to be for widgets on external sites.  I could start with a standalone .php file and bootstrap what I need but the hook_menu routing is nice.    How should you do this? Identifying Coordinate System of Shapefile when Unknown? normal subgroups of Alternating group Klein's $4$ group, $\{1\}$ and $A_4$ are three normal subgroups of $A_4$. I want to know about any other normal subgroups of $A_4$. Do these exist? Solving $a \sin\theta + b \cos\theta = c$ Could someone help me with the steps for solving the below equation $$a \sin\theta + b \cos\theta = c$$ I know that the solution is $$\theta = \tan^{-1} \frac{c}{^+_-\sqrt{a^2 + b^2 - c^2}} - \tan^{-1} \frac{a}{b} $$ I just can't figure out the right steps to arrive at this solution. Changing "index.php" Within The Address Is there a term for switching syllables of words?