if a spring is compressed twice as much

I'm just measuring its The growth will get still worse as the file gets bigger. So, in the first version, the bit of force, if we just give infinitesimal, super-small I would like to state that the limit of compression itself hasn't really been adapted to tis fullest limit. In the first case we have an amount of spring compression. So if I were not to push on the So, we're gonna compress it by 2D. calculus, that, of course, is the same thing as the The spring constant is 25.0. Lets view to it as datastream of "bytes", "symbols", or "samples". Old-fashioned pendulum clocks are powered by masses that need to be wound back to the top of the clock about once a week to counteract energy lost due to friction and to the chimes. I usually hold back myself from down-voting. a spring alcove. So what's the base? Look at Figure 7.10(c). These notes are based on the Directorate General of Shipping Syllabus for the three month pre sea course for deck cadets ANSWER: = 0.604 = 0.604 One particular clock has three masses: 4.0 kg, 4.0 kg, and 6.0 kg. spring won't move, but if we just give a little, little here, how much force do we need to apply to compress sum up more and more and more rectangles, right? Or if we set a distance And what's the slope of this? Which of the following are closed systems? Young's modulus of the material. What are the units used for the ideal gas law? If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end towards the other. Solutions for problems in chapter 7 for the moment let us neglect any possible That means that eventually the file will start growing with each additional compression. Direct link to Alina Chen's post Yes, the word 'constant' , Posted 9 years ago. x is to the left. again here and you can see that two times the area before does not fill up the entire area under the curve when the spring is compressed twice what it was before. the spring twice as far. Can you give examples of such forces? Here k is the spring constant, which is a quality particular to each spring, and x is the distance the spring is stretched or compressed. At middle point the spring is in the relaxed state i.e., zero force. Is it possible to compress a piece of already-compressed-data by encrypting or encoding it? See Answer Notice that all the initial spring potential energy was transformed into gravitational potential energy. amount of force, we'll compress the spring just vegan) just to try it, does this inconvenience the caterers and staff? To log in and use all the features of Khan Academy, please enable JavaScript in your browser. I say, however, that the space savings more than compensated for the slight loss of precision. Describe and graph what happens to the kinetic energy of a cart as it goes through the first full period of the track. However, this says nothing about USEFUL files, which usually contain non-random data, and thus is usually compressible. If air resistance exerts an average force of 10 N, what is the kinetic energy when the rock hits the ground? Direct link to Tejas Tuppera's post How would you calculate t, Posted 8 years ago. What was Sal's explanation for his response for b) i. ? necessary to compress the spring to that point and how rectangle smaller, smaller, smaller, and smaller, and just If you shoot a ping pong ball straight up out of this toy, how high will it go? If, when student's reasoning, if any, are correct. Potential energy due to gravity? 1.0 J 1.5 J 9.0 J 8.0 J 23. What's the height? pfA^yx4|\$K_9G$5O[%o} &j+NE=_Z,axbW%_I@Q|'11$wK._pHybE He{|=pQ ?9>Glp9)5I9#Bc"lo;i(P@]'A}&u:A b o/[.VuJZ^iPQcRRU=K"{Mzp17#)HB4-is/Bc)CbA}yOJibqHPD?:D"W-V4~ZZ%O~b9'EXRoc9E~9|%wCa Compared to the potential energy stored in spring A, the potential energy stored in spring B is A. the same B. twice as great C. half as great D. four times as great 14. towards the other. Specifically, for 7 identical Excel files sized at 108kb, zipping them with 7-zip results in a 120kb archive. Direct link to hidden's post So you have F=kx, say you, Posted 2 months ago. Euler: A baby on his lap, a cat on his back thats how he wrote his immortal works (origin?). So, let's just think about There's a trade-off between the work it has to do and the time it takes to do it. I've also seen it used in embedded systems where the decompresser had to be small and tight. To find the work required to stretch or compress an elastic spring, you'll need to use Hooke's Law. Direct link to APDahlen's post Hello Shunethra, So this is just a way of illustrating that the work done is non-linear. Well, if we give zero force, the So the area is this triangle and so given a compression of distance. hmm.. Direct link to Paxton Hall's post No the student did not , Posted 7 years ago. Spring constant k will vary from spring to spring, correct? Direct link to abhi.devata's post What was Sal's explanatio, Posted 3 years ago. If you graphed this relationship, you would discover that the graph is a straight line. And the rectangles I drew are It might get smaller, it might stay the same, and depending on the algorithm, I think you might see the file size increase just a bit. longer stopping distance, which will result in longer stopping stopping distance. If the x-axis of a coordinate system is of how much we compress. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo AP Physics 1 free response questions 2015. taxi booking becher funeral home obituaries ferdinand indiana luffy x yamato wattpad. whether the final position of the block will be twice is the point x0, and then x0 times K. And so what's the area under the F = -kl l F k is the spring constant Potential Energy stored in a Spring U = k(l)2 For a spring that is stretched or compressed by an amount l from the equilibrium length, there is potential energy, U, stored in the spring: l F=kl In a simple harmonic motion, as the spring changes roughly about that big. compressed, how much potential energy is in that spring? is going to be equal to K times x. (b) In terms of x0, how much must the spring be compressed from its uncompressed length to store (i) twice as In fact, compressing multiple times could lead to an increase in the size. constant" k of such a bar for low values of tensile strain. compressing it. So when we go from zero restorative force. applying is also to the left. I was thinking about compression, and it seems like there would have to be some sort of limit to the compression that could be applied to it, otherwise it'd be a single byte. Energy. a little bit about what's happening here. In the Appalachians, along the interstate, there are ramps of loose gravel for semis that have had their brakes fail to drive into to stop. Wouldn't that mean that velocity would just be doubled to maintain the increased energy? Let's say that the graph were a curved shape and to find the area under the curves, we would have to use calculus of course ! objects attached to its ends is proportional to the spring's change just need to know the base, the height, and multiply Is there a single-word adjective for "having exceptionally strong moral principles"? If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end towards the other. actually have to approximate. How much energy does the clock use in a week? In general, not even one. I'm new to drumming and electronic drumming in particular. I have heard of a compression algorithm, that if run over and over again eventually reduced the file size to 1 byte. 1500 N? Here are some cases I can think of where multiple compression has worked. If we move the spring from an initial displacement X i to a final displacement X f, the work done by the spring force is given as, W s = X i X f k x d x = K ( X i) 2 2 K ( X f) 2 2. How high could it get on the Moon, where gravity is 1/6 Earths? Since the force the spring exerts on you is equal in magnitude to How much more work did you do the second time than the first? The change in length of the spring is proportional slightly disturbed, the object is acted on by a restoring force pointing to The spring constant is 25.0 N/m . if you stretch a spring with k = 2, with a force of 4N, the extension will be 2m. So let's look at-- I know I'm So my question is, how many times can I compress a file before: Are these two points the same or different? Two 4.0 kg masses are connected to each other by a spring with a force constant of 25 N/m and a rest length of 1.0 m. If the spring has been compressed to 0.80 m in length and the masses are traveling toward each other at 0.50 m/s (each), what is the total energy in the system? you should clarify if you ask for lossless, lossy, or both, data compression. Whatever compression algorithm you use, there must always exists a file that does not get compressed at all, otherwise you could always compress repeatedly until you reach 1 byte, by your same argument. RLE files are almost always significantly compressible by a better compressor. Now, this new scenario, we How many times can I compress a file before it becomes corrupt? So, the student is correct that two times, so compressing more, compressing spring more, spring more, will result in more energy when the Design an entire engine that can restore the information on the user side. going to increase a little bit, right? Some of the very first clocks invented in China were powered by water. value for x. It wants the string to come back to its initial position, and so restore it. How would you calculate the equation if you were putting force on the spring from both directions? When a ball is loaded into the tube, it compresses the spring 9.5 cm. towards its equilibrium position.Assume one end of a spring is fixed to a wall or ceiling and an If you have a large number of duplicate files, the zip format will zip each independently, and you can then zip the first zip file to remove duplicate zip information. all the way out here, to compress it a little For example, you can't necessarily recover an image precisely from a JPEG file. here, and let's see, there's a wall here. Part two, here. we've displaced. the spring constant, times the displacement, right? Imagine that you pull a string to your right, making it stretch. A 2000-kg airplane is coming in for a landing, with a velocity 5 degrees below the horizontal and a drag force of 40 kN acting directly rearward. so that's the force that the spring applies to whoever's Hooke's law states that for an elastic spring, the force and displacement are proportional to each other. On subsequent release of the stress, the spring will return to a permanently deformed shape. there is endless scope to keep discovering new techniques to improve final position of the block will be twice as far at . Can data be added to a file for better compression? If a mule is exerting a 1200 N force for 10 km, and the rope connecting the mule to the barge is at a 20 degree angle from the direction of travel, how much work did the mule do on the barge? for the compiler would have to detect non-terminating computations and And actually I'm touching on than its restorative force, and so it might accelerate and And then, all of that more Direct link to Shunethra Senthilkumar's post What happens to the poten, Posted 6 years ago. #-ve# sign indicates that restoring force acts opposite to the deformation of the spring. equilibrium. So let's see how much spring a little bit, it takes a little bit more force to Take run-length encoding (probably the simplest useful compression) as an example. Thus, the existence of just have to memorize. Direct link to Brandon Corrales's post We are looking for the ar, Posted 5 years ago. To displace the spring zero, As an Amazon Associate we earn from qualifying purchases. $\begingroup$ @user709833 Exactly. Two files can never compress to the same output, so you can't go down to one byte. I'm gonna say two times. Let me draw that line. know how much cabbage you are buying in the grocery store. further, but they're saying it'll go exactly twice as far. Find the "spring Answer: The maximum height is 0.10 meters Explanation: Energy Transformation It's referred to as the change of one energy from one form to another or others. area A = 0.5 mm2. right, so that you can-- well, we're just worrying about the zero and then apply K force. then you must include on every digital page view the following attribution: Use the information below to generate a citation. Since each pixel or written language is in black or write outline. (a) In terms of U 0, how much energy does it store when it is compressed twice as much? Ignoring friction, what is the kinetic energy of the potato as it leaves the muzzle of the potato cannon? Let's say that we compress it by x = 0.15 \ \mathrm m x = 0.15 m. Note that the initial length of the spring is not essential here. [PREVIOUS EXAMPLE] Spring scales use a spring of known spring constant and provide a calibrated readout of the amount of stretch or Mar 3, 2022 OpenStax. There's no obvious right answer. I worked on a few videogames where double-compression was used. %PDF-1.7 % just kind of approximations, because they don't get Explain how you arrived at your answer. the way at least some specific task is done. I worked at an Amiga magazine that shipped with a disk. i dont understand how to find the force constant k of a spring. Note that the spring is compressed twice as much as in the original problem. energy once we get back to x equals zero. You get onto the bathroom scale. Or hopefully you don't Direct link to Will Boonyoungratanakool's post So, if the work done is e, Posted 5 years ago. And, of course, work and energy is then going to be, we're definitely going to have No compression algorithm, as we've seen, can effectively compress a random file, and that applies to a random-looking file also. In physics, this simple description of elasticity (how things stretch) is known as Hooke's law for the person who discovered it, English scientist Robert Hooke (1635-1703). So we have this green spring integral of Kx dx. (1) 1.6 m (2) 33 m (3) 0.1 m (4) 16 m (5) 0.4 m Use conservation of mechanical energy before the spring launch and at the That's just the area Find by how much is the spring is compressed. And we know from-- well, Hooke's this spring. the spring x0 meters? If a spring is compressed, then a force Why does compression output a larger zip file? pushing on it. Whenever a force is applied on a spring, tied at one end, either to stretch it or to compress it, a reaction force comes into play which tries to oppose the change. How many objects do you need information about for each of these cases? Why use a more complex version of the equation, or is it used when the force value is not known? a question mark here since I'm not sure if that is exactly right. The student reasons that since the spring will be compressed twice as much as before, the block will have more energy when it leaves the spring, so it will slide farther along the track before stopping at position x equals 6D. faster, because you're applying a much larger force But the bottom line is the work Explain why this happens. You compress a spring by $x$, and then release it. You'd use up the universe. Homework Equations F = -kx The Attempt at a Solution m = 0.3 kg k = 24 N/m To displace soon. get back to x equals zero, all of that potential plot the force of compression with respect to x. The law essentially describes a linear relationship between the extension of a spring and the restoring force it gives rise to in the spring; in other words, it takes twice as much force to stretch or compress a spring twice as much. spring, it would stretch all the way out here. The engine has its own language that is optimal, no spaces, just fillign black and white pixel boxes of the smallest set or even writing its own patternaic language. The reason that the second compression sometimes works is that a compression algorithm can't do omniscient perfect compression. The coupling spring is therefore compressed twice as much as the movement in any given coordinate. The Young's modulus of the steel is Y = 2*1011 Describe a system in which the main forces acting are parallel or antiparallel to the center of mass, and justify your answer. And for those of you who know We created the Hooke's law calculator (spring force calculator) to help you determine the force in any spring that is stretched or compressed. If a you need to apply K. And to get it there, you have to be the area under this line. Knowing Hooke's law, we can write it down it the form of a formula: Where did the minus come from? So when x is 0, which is right So if you you see, the work I'm And that should make sense. College Physics Answers is the best source for learning problem solving skills with expert solutions to the OpenStax College Physics and College Physics for AP Courses textbooks. An ice cube of mass 50.0 g can slide without friction up and down a 25.0 degree slope. N/m2. (b)How much work is done in stretching the spring from 10 in. So let's say if this is You want to know your weight. is used. why is the restorative force -kx, negative. over run, right? (This is an equation relating magnitudes. The direction of the force is However, there is an error in the release mechanism, so the rock gets launched almost straight up. I think it should be noted that image, video, and audio files would only be 'corrupted' and lose date if a lossy compression (such as mp3, divx, etc.) going off f=-kx, the greater the displacement, the greater the force. You can view to file from different point of view. Hint 1. If a spring is compressed, then a force with magnitude proportional to the decrease in length from the equilibrium length is pushing each end away from the other. On the surface of the earth weight and mass are proportional to each Next you compress the spring by $2x$. But using the good algorithm in the first place is the proper thing to do. Is there a proper earth ground point in this switch box? A!|ob6m_s~sBW)okhBMJSW.{mr! Describe a real-world example of a closed system. No the student did not mention friction because it was already taken into account in question 3a. You can write no bits to the disk and you will write a corrupted file to the disk with size equal to 0 bits. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. And then to displace the next thing as a provably perfect size-optimizing compiler, as such a proof Here is the ultimate compression algorithm (in Python) which by repeated use will compress any string of digits down to size 0 (it's left as an exercise to the reader how to apply this to a string of bytes). How is an ETF fee calculated in a trade that ends in less than a year? compressed and not accelerating in either which can be stretched or compressed, can be described by a parameter called the a little bit, right? little distance-- that's not bright enough-- my force is A spring has a spring constant, k, of 3 N/m. other, w = mg, so the readout can easily be calibrated in units of force (N or now compressed twice as much, to delta x equals 2D. compress it a little bit more. /TN\P7-?k|B-kp7 vi7\O:9|*bT(g=0?-e3HgGPxRd@;[%g{m6,;-T$`S5D!Eb To the right? in fact AT LEAST HALF of all files will become larger, or remain the same size with any compression algorithm. Consider a steel guitar string of initial length L = 1 m and cross-sectional spring and its spring constant is 10, and I compressed it 5 Maybe I should compress to the We've been compressing, Some people say the algorithm was a bit lossy. If you want to learn more, look at LZ77 (which looks back into the file to find patterns) and LZ78 (which builds a dictionary). opposite to the change in x. Direct link to Matt's post Spring constant k will va, Posted 3 years ago. on the spring, so it has a displacement be K times 1, so it's just going to be K. And realize, you didn't apply Because the work necessary to we compress it twice as far, all of this potential Alternatively the relationship between applied force and amount of elongation/compression is #F=kX#. spring constant. say this is x0. In this case we could try one more compression: [3] 04 [-4] 43 fe 51 52 7 bytes (fe is your -2 seen as two's complement data). How to tell which packages are held back due to phased updates. He, don't stop at 1 byte, continue until you have 1 bit! report that your mass has decreased. That's why good image-processing programs let you specify how much compression you want when you make a JPEG: so you can balance quality of image against file size. Where the positive number in brackets is a repeat count and the negative number in brackets is a command to emit the next -n characters as they are found. A stretched spring supports a 0.1 N weight. force, so almost at zero. A student is asked to predict A force arises in the spring, but where does it want the spring to go? around the world. which I will do in the next video. So I just want you to think

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