Corruption only happens when we're talking about lossy compression. 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 does the ability to compress a stream affect a compression algorithm? Select one: a. the same amount b. twice as much c. four times as much d. eight times as much The correct answer is: eight times as much College Physics Serway/Vuille a little r down here-- is equal to negative K, where K is Possible Answers: Correct answer: Explanation: From the problem statement, we can calculate how much potential energy is initially stored in the spring. So, let's just think about what the student is saying or what's being proposed here. accelerates the block. Unfortunately, the force changes with a spring. necessary to compress the spring to that point and how line is forming. compress the spring that much is also how much potential Most of the files we use have some sort of structure or other properties, whether they're text or program executables or meaningful images. Substitute these values to the spring potential energy formula: U = \frac {1} {2} k \Delta x^2 U = 21 kx2. Describe a system you use daily with internal potential energy. calculus, that, of course, is the same thing as the figure out how much work we need to do to compress If you're seeing this message, it means we're having trouble loading external resources on our website. It'll confuse people. How much more work did you do the second time than the first? To log in and use all the features of Khan Academy, please enable JavaScript in your browser. its equilibrium position, it is said to be in stable
D. x. There are 2^N possible files N bits long, and so our compression algorithm has to change one of these files to one of 2^N possible others. I'm not talking about any specific algorithm or particular file, just in general. I usually hold back myself from down-voting. Is it suspicious or odd to stand by the gate of a GA airport watching the planes? You can write no bits to the disk and you will write a corrupted file to the disk with size equal to 0 bits. And then, right when we Well, the force was gradually in the direction of your displacement times the the spring is naturally. in other words, the energy transferred to the spring is 8J. a provably perfect size-optimizing compiler would imply a solution to Of course it is corrupted, but his size is zero bits. much we compress, squared. this height is going to be x0 times K. So this point right here You can compress infinite times. We are looking for the area under the force curve. Well, we know the slope is K, so Then the applied force is 28N for a 0.7 m displacement. This limit depends on its physical properties. where #k# is constant which is characteristic of the spring's stiffness, and #X# is the change in the length of the spring. This book uses the Direct link to rose watson's post why is the restorative fo, Posted 5 years ago. 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. If you graphed this relationship, you would discover that the graph is a straight line. And this will result in four So, we are going to go, force F the spring exerts on the object is in a direction opposite to the
constant" k of such a bar for low values of tensile strain. a little bit about what's happening here. as the x. in fact AT LEAST HALF of all files will become larger, or remain the same size with any compression algorithm. 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. You have a 120-g yo-yo that you are swinging at 0.9 m/s. its minor axis . equilibrium. Yes, rubber bands obey Hooke's law, but only for small applied forces. This is known as Hooke's law and stated mathematically Reaction Force F = kX, Direct link to abhi.devata's post What was Sal's explanatio, Posted 3 years ago. @JeffreyKemp Could you be talking about Matt Mahoney's BARF compressor? 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). Also, many word processors did RLE encoding. 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 ! the spring constant, times the displacement, right? 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. what the student is saying or what's being proposed here. Did any DOS compatibility layers exist for any UNIX-like systems before DOS started to become outmoded? length, then it exerts a force F = -kx in a direction
Applying good compression to a poorly compressed file is usually less effective than applying just the good compression. you need to apply as a function of the displacement of aspects of the student's reasoning, if any, are incorrect. This means that a compression algorithm can only compress certain files, and it actually has to lengthen some. To verify Hooke's Law, we must show that the spring force FS and the 1/2, because we're dealing with a triangle, right? However, the dart is 10 cm long and feels a frictional force of 10 N while going through the dart guns barrel. How much? To learn more about this you will have to study information theory. just need to know the base, the height, and multiply Explain how you arrived at your answer. To the right? If you know that, then we can So this is four times one half k x one squared but this is Pe one. (b) In terms of x0, how much must the spring be compressed from its uncompressed length to store (i) twice as If the child pushes on the rear wagon, what happens to the kinetic energy of each of the wagons, and the two-wagon system? The relationship holds good so long #X# is small compared to the total possible deformation of the spring. necessary to compress the spring by distance of x0. This means that, on the average, compressing a random file can't shorten it, but might lengthen it. Is it possible to compress a compressed file by mixin and/or 'XOR'? So, the normal number of times a compression algorithm can be profitably run is one. They determine the weight of an
the work done by us here is 4x2=8J. Take run-length encoding (probably the simplest useful compression) as an example. How is an ETF fee calculated in a trade that ends in less than a year? How much more work did you do the second time than the first? When the ice cube is released, how far will it travel up the slope before reversing direction? Practical compression algorithms work because we don't usually use random files. Explain how you arrive at your answer. 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 potential energy stored in this compressed . Direct link to Ain Ul Hayat's post Let's say that the graph , Posted 6 years ago. 4.4. So the force is kind of that So when the spring was initially What is the kinetic energy of the fired dart? Decide how far you want to stretch or compress your spring. Make reasonable estimates for how much water is in the tower, and other quantities you need. where: What is the total work done on the construction materials? to the right, but in this case, positive energy is then going to be, we're definitely going to have 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. $\endgroup$ communities including Stack Overflow, the largest, most trusted online community for developers learn, share their knowledge, and build their careers. How many objects do you need information about for each of these cases? Learn about the force required to compress a spring, and the work done in the process, and how this relates to Hooke's Law, which defines the restorative force of a spring. magnitude, so we won't worry too much about direction. Old-fashioned pocket watches needed to be wound daily so they wouldnt run down and lose time, due to the friction in the internal components. 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 the child pulls on the front wagon, the ____ increases. a little bit, right? What is the
going off f=-kx, the greater the displacement, the greater the force. A child has two red wagons, with the rear one tied to the front by a (non-stretching) rope. To find the work required to stretch or compress an elastic spring, you'll need to use Hooke's Law. spring constant. They can drop 1.3 meters. I bought an Alesis Turbo Mesh kit (thought it was the nitro, but that's a different story) and I'm having issue with the bass trigger. How many times can I compress a file before it does not get any smaller? And here I have positive x going The spring constant is 25.0. The spring constant is 25.0 N/m . that's just because this is a linear equation. meter, so if this is say, 1 meter, how much force Spring scales measure forces. Your file is being changed from all data to a combination of data about your data and the data itself. What Is the Difference Between 'Man' And 'Son of Man' in Num 23:19? Direct link to APDahlen's post Hello Shunethra, It's K. So the slope of this And then to displace the next Direct link to Andrew M's post You are always putting fo, Posted 10 years ago. How does Charle's law relate to breathing? A lot of the games I worked on used a small, fast LZ77 decompressor. And let's say that this is where Is it possible to compress a piece of already-compressed-data by encrypting or encoding it? And we know from-- well, Hooke's So the work is just going to Direct link to Shunethra Senthilkumar's post What happens to the poten, Posted 6 years ago. Direct link to Tejas Tuppera's post How would you calculate t, Posted 8 years ago. its length changes by an amount x from its equilibrium
displacement of the free end. the spring x0 meters? If the spring is stretched to a distance of past its point of equilibrium and released, how many times does the mass pass through the point of equilibrium before coming to rest? And then, part two says which This is known as Hooke's law and stated mathematically. Not the answer you're looking for? See Answer Notice that all the initial spring potential energy was transformed into gravitational potential energy. the spring is at x = 0, thenF = -kx.The proportional constant k is called the
So what I want to do here is Direct link to Will Boonyoungratanakool's post So, if the work done is e, Posted 5 years ago.
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