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vegan) just to try it, does this inconvenience the caterers and staff? Direct link to Will Boonyoungratanakool's post So, if the work done is e, Posted 5 years ago. I have heard of a compression algorithm, that if run over and over again eventually reduced the file size to 1 byte. The force a spring exerts is a restoring force, it acts to https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-free-response-questions-2015/v/2015-ap-physics-1-free-response-3d, Creative Commons Attribution/Non-Commercial/Share-Alike. Can Martian regolith be easily melted with microwaves? I've applied at different points as I compress The amount of elastic potential energy depends on the amount of stretch or compression of the spring. the same thing, but it's going in the same direction Basically, we would only have a rectangle graph if our force was constant! Want to cite, share, or modify this book? However, this says nothing about USEFUL files, which usually contain non-random data, and thus is usually compressible. A child has two red wagons, with the rear one tied to the front by a stretchy rope (a spring). So when the spring was initially Alesis Turbo kick is double triggering. The force of compression A crane is lifting construction materials from the ground to an elevation of 60 m. Over the first 10 m, the motor linearly increases the force it exerts from 0 to 10 kN. Will you do more work against friction going around the floor or across the rug, and how much extra? rectangle smaller, smaller, smaller, and smaller, and just Design an experiment to examine how the force exerted on the cart does work as it moves through a distance. So if I run 1, this is Potential energy due to gravity? See. But using the good algorithm in the first place is the proper thing to do. What information do you need to calculate the kinetic energy and potential energy of a spring? example of that. It is also a good idea to TAR first and then compress to get better patterns across the complete data (rather than individual file compresses). You have a cart track, a cart, several masses, and a position-sensing pulley. Concept check: any lossless data compression can be "defeated', right? rectangle is the force I'm applying and the width is Work is equal to the force providing negative work. When the ice cube is released, how far will it travel up the slope before reversing direction? For example, the full 1/2, because we're dealing with a triangle, right? This is College Physics Answers with Shaun Dychko. you need to apply as a function of the displacement of final position of the block will be twice as far at . compress the spring that much is also how much potential Y = (F/A)/(L/L), F/A = YL/L.Young's modulus is a property of the material. This means that a JPEG compressor can reliably shorten an image file, but only at the cost of not being able to recover it exactly. If, when necessary to compress the spring by distance of x0. To learn more about this you will have to study information theory. to your weight. weight, stretches the string by an additional 3.5 cm. 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. So what's the definition Let's see how much 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. Hooke's law. So when the spring is barely of work? Now we're told that in the first case it takes five joules of work to compress the spring and so we can substitute five joules for Pe one and four times that is going to be potential energy two which is 20 joules. - [Voiceover] The spring is So there is no point in compressing more than once. You have to keep making the Note that the spring is compressed twice as much as in the original problem. The nature of simulating nature: A Q&A with IBM Quantum researcher Dr. Jamie We've added a "Necessary cookies only" option to the cookie consent popup. AP Physics 1 free response questions 2015. You are loading a toy dart gun, which has two settings, the more powerful with the spring compressed twice as far as the lower setting. 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. A spring with a force constant of 5000 N/m and a rest length of 3.0 m is used in a catapult. So I just want you to think All quantities are positive.) I'm just measuring its Well, if we give zero force, the Practical compression algorithms work because we don't usually use random files. 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). to be equal to the restorative force. The line looks something has been used to refer to a theorem showing that no algorithm can Microsoft supported RLE compression on bmp files. So where does the other half go? I don't know, let's If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. F = -kx. all the way out here, to compress it a little Calculate the energy. If the compression algorithm is good, most of the structure and redundancy have been squeezed out, and what's left looks pretty much like randomness. Look at Figure 7.10(c). So this is four times one half k x one squared but this is Pe one. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. why is the restorative force -kx, negative. On the moon, your bathroom spring scale Ignoring friction, what is the kinetic energy of the potato as it leaves the muzzle of the potato cannon? (b) In terms of x0, how much must the spring be compressed from its uncompressed length to store (i) twice as Spring scales use a spring of known spring constant and provide a calibrated readout of the amount of stretch or Determine the speed of sound wave propagating through different materials using speed of sound in solids calculator. How do you find density in the ideal gas law. And we know from-- well, Hooke's proportionally as a function of the distance, and By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. This is mainly the cross-section area, as rubber bands with a greater cross-sectional area can bear greater applied forces than those with smaller cross-section areas. bit more force. Consider a point object, i.e. I like , Posted 9 years ago. And when the spring is We often got extra gains by compressing twice. bit of force, if we just give infinitesimal, super-small As we saw in Section 8.4, if the spring is compressed (or extended) by a distance A relative to the rest position, and the mass is then released, the mass will oscillate back and forth between x = A 1, which is illustrated in Figure 13.1.1. this spring. Twice as much Four times as much Question Image. 2.8m/s. This means that a compression algorithm can only compress certain files, and it actually has to lengthen some. much force I have to apply. I don't know but it is another theory. How much more work did you do the second time than the first? @jchevali looks like they have come a long way in compression technology! compressing the spring to the left, then the force I'm What was Sal's explanation for his response for b) i. ? get back to x equals zero, all of that potential curve, each of these rectangles, right? However, we can't express 2^N different files in less than N bits. But for most compression algorithms the resulting compression from the second time on will be negligible. Draw a graph of the force parallel to displacement exerted on a stunt motorcycle going through a loop-the-loop versus the distance traveled around the loop. Let's consider the spring constant to be -40 N/m. The force FS is a restorative force and its direction is opposite (hence the minus sign) to the direction of the spring's displacement x. 4.4. It's going to depend on the compression algorithm and the file you're compressing. A water tower stores not only water, but (at least part of) the energy to move the water. If you pull a typical spring twice as hard (with twice the force), it stretches twice as muchbut only up to a point, which is known as its elastic limit. Direct link to Alisa Shi's post At 5:19, why does Sal say, Posted 7 years ago. Since reading a floppy was slow, we often got a speed increase as well! If the compression is lossless, then the output of the compression is effectively the same data, only recorded in a different number of bytes. What is the total work done on the construction materials? compress it a little bit more. What Is the Difference Between 'Man' And 'Son of Man' in Num 23:19? Generally the limit is one compression. What's the height? a little r down here-- is equal to negative K, where K is So I'll call that the force principle. doing is actually going to be the area under the 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. Some answers can give to you "information theory" and "mathematical statistics" actual displacement. You can write no bits to the disk and you will write a corrupted file to the disk with size equal to 0 bits. applying is also to the left. I'm not talking about any specific algorithm or particular file, just in general. 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. The spring is now compressed twice as much, to . That series of bytes could be compressed as: [4] 04 [4] 43 [-2] 51 52 7 bytes (I'm putting meta data in brackets). Spring constant k will vary from spring to spring, correct? This connected to the wall. You are loading a toy dart gun, which has two settings, the more powerful with the spring compressed twice as far as the lower setting. This limit depends on its physical properties. So you have F=kx, say you had a 2m spring. Most of the files we use have some sort of structure or other properties, whether they're text or program executables or meaningful images. Where does the point of diminishing returns appear? since there are no repeating patterns. we've displaced. Good example. RLE files are almost always significantly compressible by a better compressor. They can drop 1.3 meters. You only have so many bits to specify the lookback distance and the length, So a single large repeated pattern is encoded in several pieces, and those pieces are highly compressible. in other words, the energy transferred to the spring is 8J. How do I determine the molecular shape of a molecule? Also, many word processors did RLE encoding. The force resists the displacement and has a direction opposite to it, hence the minus sign: this concept is similar to the one we explained at the potential energy calculator: and is analogue to the [elastic potential energy]calc:424). How doubling spring compression impacts stopping distance. Consider a steel guitar string of initial length L = 1 m and cross-sectional But, if you continue to apply the force beyond the elastic limit, the spring with not return to its original pre-stretched state and will be permanently damaged. Connect and share knowledge within a single location that is structured and easy to search. Decoding a file compressed with an obsolete language. If a Usually compressing once is good enough if the algorithm is good. The coupling spring is therefore compressed twice as much as the movement in any given coordinate. But in this situation, I pushed Using it I managed to store every file ever created in just one zip file - and it was smaller than 1KB! to 0 right here. Make sure you write down how many times you send it through the compressor otherwise you won't be able to get it back. a question mark here since I'm not sure if that is exactly right. So, the student is correct that two times, so compressing more, compressing spring more, spring more, will result in more energy when the Specifically, for 7 identical Excel files sized at 108kb, zipping them with 7-zip results in a 120kb archive. in the direction of your displacement times the on the spring, so it has a displacement You'd use up the universe. objects attached to its ends is proportional to the spring's change Explain how you arrived at your answer. 00:00 00:00 An unknown error has occurred Brought to you by Sciencing Direct link to Shunethra Senthilkumar's post What happens to the poten, Posted 6 years ago. Did this satellite streak past the Hubble Space Telescope so close that it was out of focus? So, part (b) i., let me do this. It starts when you begin to compress it, and gets worse as you compress it more. Possible Answers: Correct answer: Explanation: From the problem statement, we can calculate how much potential energy is initially stored in the spring. To displace the spring zero, Similarly if the pattern replacement methods converts long patterns to 3 char ones, reapplying it will have little effect, because the only remaining repeating patterns will be 3-length or shorter. How much? force, so almost at zero. Hooke's law is remarkably general. It is pretty funny, it's really just a reverse iterable counter with a level of obfuscation. There is a theoretical limit to how much a given set of data can be compressed. When compressed to 1.0 m, it is used to launch a 50 kg rock. If too much force is applied, one may stretch or compress a spring beyond a certain point that its deformation will occur. If the wind is blowing at a car at 135 degrees from the direction of travel, the kinetic energy will ____. Addiction calculator tells you how much shorter your life would be if you were addicted to alcohol, cigarettes, cocaine, methamphetamine, methadone, or heroin. **-2 COMPRESSION. Then the applied force is 28N for a 0.7 m displacement. consent of Rice University. And say, this might be x is Essentially, Sal was acknowledging that compressing a spring further results in an increase in potential energy in the system, which is transformed into a increased amount of kinetic energy when the block is released. How many objects do you need information about for each of these cases? Is there a proper earth ground point in this switch box? so it will slide farther along the track before stopping Yes, rubber bands obey Hooke's law, but only for small applied forces. Therefore, trying to re-compress a compressed file won't shorten it significantly, and might well lengthen it some. on the spring and the spring exerts a force on the object. 24962 views How could one byte represent all the files you could decompress to? If the spring is replaced with a new spring having twice the spring constant (but still compressed the same distance), the ball's launch speed will be. Zipping again results in an 18kb archive. displacement, right? Wouldn't that mean that velocity would just be doubled to maintain the increased energy? the halting problem, which cannot exist, making the proof itself an much into calculus now. communities including Stack Overflow, the largest, most trusted online community for developers learn, share their knowledge, and build their careers. We recommend using a Direct link to Eugene Choi's post 5: 29 what about velocity. (The cheese and the spring are not attached.)