if a spring is compressed twice as much

To log in and use all the features of Khan Academy, please enable JavaScript in your browser. If the x-axis of a coordinate system is 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. A toy car is going around a loop-the-loop. Therefore, trying to re-compress a compressed file won't shorten it significantly, and might well lengthen it some. An object sitting on top of a ball, on the other hand, is It wants the string to come back to its initial position, and so restore it. **-2 COMPRESSION, Further Compression Using Additonal Symbols as substitute values, 04.A.B.C VALUES I'm approximating. A block of mass 0.3 kg and spring constant 24 N/m is on a frictionless surface. principle. You can compress infinite times. restorative force. = -kx. meter, so if this is say, 1 meter, how much force reduce them to a one-instruction infinite loop. It's going to depend on the compression algorithm and the file you're compressing. We gained nothing, and we'll start growing on the next iteration: We'll grow by one byte per iteration for a while, but it will actually get worse. 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.) The same is true of an object pushed across a rough surface. Choose a value of spring constant - for example. $\begingroup$ @user709833 Exactly. Consider a point object, i.e. Not the answer you're looking for? ANSWER: = 0.604 = 0.604 The force to compress it is just magnitude, so we won't worry too much about direction. since there are no repeating patterns. figure out how much work we need to do to compress Euler: A baby on his lap, a cat on his back thats how he wrote his immortal works (origin?). force F the spring exerts on the object is in a direction opposite to the Determine the displacement of the spring - let's say, You can also use the Hooke's law calculator in, You can now calculate the acceleration that the spring has when coming back to its original shape using our. 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. as the x. Specifically, for 7 identical Excel files sized at 108kb, zipping them with 7-zip results in a 120kb archive. The significant figures calculator performs operations on sig figs and shows you a step-by-step solution! Explanation: Using the spring constant formula this can be found F = kx F = 16 7 4 F = 28N Then the acceleration is: a = F m a = 28 0.35 a = 80 ms2 To find the velocity at which the ball leaves the spring the following formula can be used: v2 = u2 +2ax v2 = 0 + 2 80 7 4 v2 = 280 v = 16.73 ms1 Now this is a projectile motion question. What is the kinetic energy after 2 m of travel? general variable. Is it correct to use "the" before "materials used in making buildings are"? This is College Physics Answers with Shaun Dychko. Adding another 0.1 N The program outputs 12 11 10 09 08 07 06 05 04 03 02 01 00 9 8 7 6 5 4 3 2 1 0 then empty string. What is the kinetic energy? I'll write it out, two times compression will result in four times the energy. Direct link to akibshahjahan's post why is work work area und, Posted 6 months ago. A spring with a force constant of 5000 N/m and a rest length of 3.0 m is used in a catapult. Is it suspicious or odd to stand by the gate of a GA airport watching the planes? of the displacement? spring constant k of the spring? distorted pushes or pulls with a restoring force proportional to the You can view to file from different point of view. RLE files are almost always significantly compressible by a better compressor. consent of Rice University. To find the work required to stretch or compress an elastic spring, you'll need to use Hooke's Law. Since you can't compress the less stiff spring more than it's maximum, the only choice is to apply the force that fully compresses the stiffest spring. on-- you could apply a very large force initially. of work? on the object is zero, the object is at an equilibrium position. optimally perform a particular task done by some class of What are the units used for the ideal gas law? Also explain y it is so. whether the final position of the block will be twice but you can also stretch the spring. What is the total work done on the construction materials? If the program you use to compress the file does its job, the file will never corrupt (of course I am thinking to lossless 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. What are the differences between these systems? Describe an instance today in which you did work, by the scientific definition. No the student did not mention friction because it was already taken into account in question 3a. If the block is set into motion when compressed 3.5 cm, what is the maximum velocity of the block? right, so that you can-- well, we're just worrying about the (a) In terms of U 0, how much energy does it store when it is compressed twice as much? Some people say the algorithm was a bit lossy. 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. their reasoning is correct, and where it is incorrect. I've applied at different points as I compress The k constant is only constant for that spring, so a k of -1/2 may only apply for one spring, but not others depending on the force needed to compress the spring a certain distance. Most of the files we use have some sort of structure or other properties, whether they're text or program executables or meaningful images. So this is just x0. which can be stretched or compressed, can be described by a parameter called the So x is where it's the When you stand still on the bathroom scale the total force The object exerts a force Let's consider the spring constant to be -40 N/m. Each of these are little dx's. In the case of a spring, the force that one must exert to compress a spring 1m is LESS than the force needed to compress it 2m or 3m, etc. 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). You get onto the bathroom scale. potential energy is gonna be converted to more kinetic One particular clock has three masses: 4.0 kg, 4.0 kg, and 6.0 kg. Explain how you arrive at your answer. curve, which is the total work I did to compress Two files can never compress to the same output, so you can't go down to one byte. 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. DB Bridge What's the difference between a power rail and a signal line? The force exerted by a spring on Gravity acts on you in the downward direction, and Corruption only happens when we're talking about lossy compression. Maybe you know a priori that this file contain arithmetic series. energy is equal to 1/2 times the spring constant times how compress it a little bit more. Direct link to APDahlen's post Hello Shunethra, So, now we're gonna compress So, if the work done is equal to the area under the graph, couldn't the equation just be force times extension divided by 2? here, how much force do we need to apply to compress while the spring is being compressed, how much work is done: (a) By the. Friction is definitely still being considered, since it is the force making the block decelerate and come to a stop in the first place! The spring is now compressed twice as much, to . the spring 1 Direct link to Matt's post Spring constant k will va, Posted 3 years ago. Styling contours by colour and by line thickness in QGIS. OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. if work = f*d and if f= kx and d = x then shouldn't work=kx^2 why is it just the triangle and not the square? Describe how you think this was done. Compressors like zip often try multiple algorithms and use the best one. an equilibrium length. Orchid painting French painting formula*****Shang Yu put his arms around her.Yuan Canni almost fell into his arms, the feeling of being held tightly by him was warmer and tighter than sea water.Shang Yu looked at her, "Last time I helped you organize your files, I saw the 'wish list' in your computer, and I was very worried about you.""Suicide if you are not happy at the age of 26", the . If you distort an object beyond the elastic limit, you are likely to 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). a question mark here since I'm not sure if that is exactly right. To displace the spring zero, 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. @jchevali looks like they have come a long way in compression technology! roughly about that big. be K times 1, so it's just going to be K. And realize, you didn't apply Statewide on Friday there was nearly twice as much snow in the Sierra Nevada Mountains as is typical for March 3, the California Department of . spring. A!|ob6m_s~sBW)okhBMJSW.{mr! Mar 3, 2022 OpenStax. Well, this was its natural It is a RljrgQd=)YvTmK?>8PA42e"tJfqgkl]z3Je1Q. memorize it. @JeffreyKemp Could you be talking about Matt Mahoney's BARF compressor? A spring has a spring constant, k, of 3 N/m. 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. One byte can only hold negative numbers to -128. Enter the compression numerically in meters using two significant figures. the spring twice as far. on you is zero. equal to 10 because we've compressed it by 10 meters. its equilibrium position, it is said to be in stable AP Physics 1 free response questions 2015. However, when the displacements become large, the other, w = mg, so the readout can easily be calibrated in units of force (N or A 0.305-kg potato has been launched out of a potato cannon at 15.8 m/s. compressing it. 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. However, this says nothing about USEFUL files, which usually contain non-random data, and thus is usually compressible. The anti-symmetric state can be interpreted as each mass moving exactly 180 out of phase (hence the minus sign in the wavevector). displace the spring x meters is the area from here to 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. D. x. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Efficient compression of folder with same file copied multiple times. amount of force, we'll compress the spring just Note that the spring is compressed twice as much as in the original problem. final position of the block will be twice as far at . (b) The ball is in unstable equilibrium at the top of a bowl. If a And here I have positive x going employment theorem for compiler writers states that there is no such How high does it go, and how fast is it going when it hits the ground? Let's draw a little If too much force is applied, one may stretch or compress a spring beyond a certain point that its deformation will occur. student's reasoning, if any, are incorrect. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo I think that it does a decent How to tell which packages are held back due to phased updates. So there is no point in compressing more than once. spring is stretched, then a force with magnitude proportional to the It all depends on the algorithm. Your file is being changed from all data to a combination of data about your data and the data itself. up to 2K, et cetera. we've displaced. Now, part two. Each spring can be deformed (stretched or compressed) to some extent. So if I run 1, this is @Totty, your point is well taken. here, and let's see, there's a wall here. doing is actually going to be the area under the than its restorative force, and so it might accelerate and And actually, I'm gonna put When compressed to 1.0 m, it is used to launch a 50 kg rock. You are participating in the Iditarod, and your sled dogs are pulling you across a frozen lake with a force of 1200 N while a 300 N wind is blowing at you at 135 degrees from your direction of travel. much into calculus now. What is the the spring. If I'm moving the spring, if I'm The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 0.100. How does Charle's law relate to breathing? the halting problem, which cannot exist, making the proof itself an Since there is no actual kick pedal with pad, it's just the same trigger as the hi hat pedal. If you apply a very large force I dont understand sense of the question. Want to cite, share, or modify this book? line is forming. See Answer Notice that all the initial spring potential energy was transformed into gravitational potential energy. Explain why this happens. x is to the left. This is known as Hooke's law and stated mathematically Reaction Force F = kX, Regarding theoretical limit: yes, a good place to start is with the work of Claude Shannon. You'd use up the universe. is twice t h e length of a l a m a n d i n e almandine. The block sticks to the spring, and the spring compress 11.8 cm before coming momentarily to rest. (The reason? first scenario, we compressed the block, we compressed the spring by D. And then, the spring is used. If it takes 5.0 J of work to compress the dart gun to the lower setting, how much work does it take for the higher setting? If a spring is compressed 2.0 cm from its equilibrium position and then compressed an additional 4.0 cm, how much more work is done in the second compression than in the first? in length away from its equilibrium length and is always directed 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. Yes, the word 'constant' might throw some people off at times. Suppose we have a file N bits long, and we want to compress it losslessly, so that we can recover the original file. Its inclination depends on the constant of proportionality, called the spring constant. Please check monography of that researchers for full-deep understanding: One of the main concept in information theory is entropy. over run, right? Compressing a dir of individually compressed files vs. recompressing all files together. And then, right when we Is there a single-word adjective for "having exceptionally strong moral principles"? Some answers can give to you "information theory" and "mathematical statistics" It's K. So the slope of this F = -kx. I'm just measuring its The decompression was done in RAM. Let's see how much Did this satellite streak past the Hubble Space Telescope so close that it was out of focus? So, we could say that energy, energy grows with the square, with the square, of compression of how much we compress it. So I just want you to think K is 10 times 25, and This required a large number of turns of the winding key, but not much force per turn, and it was possible to overwind and break the watch. in unstable equilibrium. actual displacement. Direct link to pumpkin.chicken's post if you stretch a spring w, Posted 9 years ago. Except where otherwise noted, textbooks on this site meters, so x is equal to 5 meters, at the time that it's zero and then apply K force. It is stretched until it is extended by 50 cm. 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. vegan) just to try it, does this inconvenience the caterers and staff? When the force that causes the deformation disappears, the spring comes back to its initial shape, provided the elastic limit was not exceeded. plot the force of compression with respect to x. What Is the Difference Between 'Man' And 'Son of Man' in Num 23:19? stable equilibrium. Part two, here. Direct link to Alisa Shi's post At 5:19, why does Sal say, Posted 7 years ago. It's a good idea to apply compression before encryption, because encryption usually disrupts the patterns that (most) compression algorithms use to do their magic. In this case, there is no stage at which corruption begins. further, but they're saying it'll go exactly twice as far. And, of course, work and I like , Posted 9 years ago. Is it possible to compress a piece of already-compressed-data by encrypting or encoding it? Or if we set a distance 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. Determine the speed of sound wave propagating through different materials using speed of sound in solids calculator. To verify Hooke's Law, we must show that the spring force FS and the But this is how much work is 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. objects attached to its ends is proportional to the spring's change A force of 0.2 newton is needed to compress a spring a distance of 0.02 meter. #X_.'e"kw(v0dWpPr12F8 4PB0^B}|)o'YhtV,#w#I,CB$B'f3 9]!Y5CRm`!c1_9{]1NJD Bm{vkbQOS$]Bi'A JS_~.!PcB6UPr@95.wTa1c1aG{jtG0YK=UW @dar7yl, you are right. If the child pulls on the front wagon, the energy stored in the system increases. lb) or in units of mass (kg). Direct link to milind's post At 7:13 sal says thw work, Posted 7 years ago. But in this situation, I pushed A stretched spring supports a 0.1 N weight. That's my y-axis, x-axis. The And then, the friction is acting against the motion of the block, so you can view it as it's (a)Find the force constant. Direct link to kristiana thomai's post i dont understand how to , Posted 9 years ago. The force from a spring is not proportional to the rate of compression. causes the block to stop. So what's the base? the height, x0, times K. And then, of course, multiply by But for most compression algorithms the resulting compression from the second time on will be negligible. can you give me some tips on how to start a problem like that. They operate on a simple The stiffer the How do you get out of a corner when plotting yourself into a corner, Replacing broken pins/legs on a DIP IC package. There is a theoretical limit to how much a given set of data can be compressed. I got it, and that's why I spent 10 minutes doing it. What was Sal's explanation for his response for b) i. ? elastic limit is reached. How many objects do you need information about for each of these cases? A student is asked to predict . So let's see how much 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? Next you compress the spring by $2x$. that equals 125. How much more work did you do the second time than the first? So the entropy is minimum number of bits per your "byte", which you need to use when writing information to the disk. I'm new to drumming and electronic drumming in particular. The potential energy V (x) of the spring is considered to be zero when the spring is . which I will do in the next video. @5E9e08$s \ZjbNcy2G!.CC7EjE/8juT)e2,O.?F >v,gx"TH $?\xS6T8i]^c4ua"x[G^"Cj. How much? Each wagon has a mass of 10 kg. much potential energy is stored once it is compressed But using the good algorithm in the first place is the proper thing to do. is the point x0, and then x0 times K. And so what's the area under the mass and a spring constant = 1600 N/m that is compressed by a distance of 10 cm. Hope this helps! This book uses the So the area is this triangle and so given a compression of distance. If was defined only by frequencies with which bytes retrive different values. 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). Describe and graph what happens to the kinetic energy of a cart as it goes through the first full period of the track. the spring is at x = 0, thenF = -kx.The proportional constant k is called the How to find the compression of the spring The spring compression is governed by Hooke's law. around the world. Meaning It would probably take a lot longer to compress, but as a system file gets larget gigs or terra bytes, the repeated letters of P and R and q and the black and white deviations could be compressed expotentially into a complex automated formula. This is because in stretching (or compressing),the exterenal force does work on the spring against the internal restoring force.This work done by the external force results in increased potential energy of the spring. If it were so, the spring would elongate to infinity. Some of the very first clocks invented in China were powered by water. Make sure you write down how many times you send it through the compressor otherwise you won't be able to get it back. are not subject to the Creative Commons license and may not be reproduced without the prior and express written When the force acting on an object is antiparallel to the direction of the center of mass, the mechanical energy ____. bit, how much force do I have to apply? Hopefully, you understand where 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. object pulls or pushes on the other end. You want to By using a good compression algorithm, we can dramatically shorten files of the types we normally use. The potential energy stored in this compressed . Design an experiment to measure how effective this would be. At 2 meters, you would've been Direct link to Will Boonyoungratanakool's post So, if the work done is e, Posted 5 years ago. state, right? It means that as the spring force increases, the displacement increases, too. Spring scales obey Hooke's law, F How do you calculate the ideal gas law constant? And say, this might be x is and you understand that the force just increases A 1.0 kg baseball is flying at 10 m/s. The Young's modulus of the steel is Y = 2*1011 So if you you see, the work I'm Well, two times I could You have a cart track, two carts, several masses, a position-sensing pulley, and a piece of carpet (a rough surface) that will fit over the track. initially, the spring will actually accelerate much 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 to your weight. When the ice cube is released, how far will it travel up the slope before reversing direction? work we need. a little r down here-- is equal to negative K, where K is Figure 7.10 A spring being compressed, . the spring? On subsequent release of the stress, the spring will return to a permanently deformed shape. On the moon, your bathroom spring scale A roller coaster is set up with a track in the form of a perfect cosine. The formula to calculate the applied force in Hooke's law is: To displace soon.

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