Lossless compression is a class of data compression algorithms that allows the original data to be perfectly reconstructed from the compressed data. By contrast, lossy compression permits reconstruction only of an approximation of the original data, though usually with greatly improved compression rates (and therefore reduced media sizes).
By operation of the pigeonhole principle, no lossless compression algorithm can efficiently compress all possible data. For this reason, many different algorithms exist that are designed either with a specific type of input data in mind or with specific assumptions about what kinds of redundancy the uncompressed data are likely to contain.
Lossless data compression is used in many applications. For example, it is used in the ZIP file format and in the GNU tool gzip. It is also often used as a component within lossy data compression technologies (e.g. lossless mid/side joint stereo preprocessing by MP3 encoders and other lossy audio encoders).
Lossless compression is used in cases where it is important that the original and the decompressed data be identical, or where deviations from the original data would be unfavourable. Typical examples are executable programs, text documents, and source code. Some image file formats, like PNG or GIF, use only lossless compression, while others like TIFF and MNG may use either lossless or lossy methods. Lossless audio formats are most often used for archiving or production purposes, while smaller lossy audio files are typically used on portable players and in other cases where storage space is limited or exact replication of the audio is unnecessary.
Homework Statement
Determine the change in the entropy, Helmholtz free energy, and Gibbs free energy, when a mole of ideal gas is compressed from 1atm to 100atm at 20C.
The Attempt at a Solution
I am not entirely convinced by my attempt below -- can anyone spot something wrong? (I thought it...
The springs of a 1100 kg car compress 6.0 mm when its 68 kg driver gets into the driver's seat. If the car goes over a bump, what will be the frequency of vibrations?
I tried to use the weight of the man (68 kg) and the compression distance (6 mm) to find the spring constant. I then tried to...
A block of mass 0.528 kg slides with uniform velocity of 3.85 m/s on a horizontal frictionless surface. At some point, it strikes a horizontal spring in equilibrium. If the spring constant is k=26.7 N/m, by how much will the spring be compressed by the time the block comes to rest? What is the...
This is Problem 10.46 from the Engineering Physics Book by Knight.
A vertical spring with k = 490 N/m is standing on the ground. You are holding a 5.0 kg block just above the spring, not quite touching it.
a.) How far does the spring compress if you let go of the block suddenly?
b.)...
Homework Statement
A 50-kg mass is dropped from a 20-m height onto a very long, initially uncompressed spring of force constant k = 100 N/m
Homework Equations
Ueo=Ugf+Uef
F=k(Lenght Final-length initial)
The Attempt at a Solution
I tried using Ueo=Ugf+Uef, and i couldn't...
Homework Statement
"A compressor takes air at 300K, 1 atm. It delivers compressed air at 2 atm, using 200W of power.
If the process is adiabatic and reversible, what is the rate that air is delivered, and what is the final temperature of the air? [k of air = 1.40]"
The Attempt at a Solution...
If a piston compresses air (2 moles) to half of its original volume, the temperature increases, according to the gas laws, the volume of the gas will be in step with its temperature. Does this mean that the compressed gas at its new temperature will expand according to its new temperature(say...
Homework Statement
A package of mass 8 kg sits at the equator of an airless asteroid of mass 5.8 105 kg and radius 32 m, which is spinning so that a point on the equator is moving with speed 4 m/s. We want to launch the package in such a way that it will never come back, and when it is very...
Homework Statement
An ideal gas initially at 100kPa and 300K is contained in a piston-cylinder device with an initial volume of 5 liters. The gas is then compressed slowly according to the relationship that pV^2=constant until a final temperature of 400K is reached. Sketch the process on a...
1. Three bars each has weight W. They are pinned together at the corners to form an equilateral triangle suspended from the ceiling at point A. So points B and C (the other two vertices) lie on a horizontal line. I need to draw a diagram of each bar separately, showing all the forces acting...
I m making a project on Variable Compression Ratio (VCR)engine and hav got some ideas for attaining Variable Compression Ratio in an engine.
i studied ur SAAB Variable Compression (SVC) engine,i found it quite intrewsting and innovative,but i wud like to have some more information about that...
Homework Statement
The person in Figure P4.51 weighs 160 lb. Each crutch makes an angle of = 18.0° with the vertical (as seen from the front). Half of the person's weight is supported by the crutches, the other half by the vertical forces exerted by the ground on his feet.
find the...
Homework Statement
The board sandwiched between the other two boards in Figure P4.77 weighs 95.5N. If the coefficient of friction between the boards is 0.663, what must be the magnitude of the compression forces (assumed to be horizontal) acting on both sides of the center board to keep it...
Hi,
Please explain ..
What is Crimp amd compression crimp hose fittings?
What are the advantages and disadvantages of flare and flareless fitting?When to go for flare and flareless fittings?
Thanks
Ana
Homework Statement
Could somebody help walk me through this problem?:
A spring has its right end fixed and is installed on a horizontal table so that the free end, in equilibrium, is at x= 3m. A 1.65 kg block coming from the left slides along the table. When it passes the origin, it is moving...
I am starting to program a simple physics model of a car to help me understand how it works. I am certainly going to have to make quite a few simplifications as I'm only just about to start A levels.
Whilst researching how to simulate engine braking I came across the Racer (racing simulator)...
I am having a problem determining the equation to use here. I want to find the energy to compress hydrogen using a pump from a low pressure to a high pressure. Do I use an isothermal or an adiabatic equation?
thanks
Homework Statement
An object of mass 10kg is at rest at the top of a frictionless incline. The mass is 2m higher than the elastic spring (k=10 N/cm). What is the objects maximum speed? What is the maximum spring compression?
I think I may have got the answers but I'm not sure. Can someone...
About a year ago I came up with an idea for a compression algorithm which could potentially compress any type of data (pictures, movies, text, ect) with equal ability, and could potentially compress it to 1/1000 or less of its original size. It is such a simple idea that I am sure that if it...
Homework Statement
A block with mass m_1 = 2 \textrm{kg} slides along a frictionless table with a speed of 10 m/s. Directly in front of it and moving in the same direction is a block of mass m_2 = 5 \textrm{kg} moving at 3 m/s. A massless spring with spring constant k = 1120 N/m is attached...
Can somebody give me a link to a place where they explain crumple zones and know how to simulate that with poster board and balloons? And how would i figure out the perfect amount of air to put into a balloon to withstand as much compression as possible?
P, Q, R, S are light rods attached to the wall with a force W acting at that point in the figure.
Please explain whether Compression or Tension is acting on them respectively by using Free body diagram and proper explanation.
Can I resolve W in this way so that we have a force in the...
Density of water vapour in the air involving compression
Homework Statement
A volume Vi = 23.2 L of air at temperature T = 22 °C is compressed at constant temperature to a volume Vf = 11.0 L. The relative humidity of the air before compression is H = 59.4 %. The saturated vapour pressure of...
An ideal gas at a temperature of 17.7°C is compressed adiabatically from an initial volume 70.0 l to a final volume 43.0 l. Find its final temperature (in °C) if CV = 2.50R.
so T1V1^g=T2V2^g
to find g=cp/cv=(cv+nR)/cv and cv=2.50R
g=(2.50R+nR)/2.50R factor out an R...
hi just a quick question,having done materials labs we came up with a figure of 275.8kN for the compression strength of a cube of concrete acting over an area of 150mm x 150mm. i want to convert this compressive strength to the standard N/mm^2 units.To do this i multiplied 275.8 * 1000 and...
Hey, first post! I happened upon this forum and after about ten seconds of perusing topic titles, decided this forum was definitely for me! Here is my question. What type of cross section would a beam need to be the most efficient at handling 1) tension and 2) compression.
I am working on...
Homework Statement
A 60.kg firefighter slides down a pole while a constant frictional force of 300N retards his motion. A horizontal 20.0kg platform is supported by a spring at the bottom of the pole to cushion the fall. The firefghter stars from rest 5.00m above the platform, and the spring...
1. A Jaguar XK8 convertible has an eight-cylinder engine. At the beginning of its compression stroke, one of the cylinders contains 499 cm^3 of air at atmospheric pressure (1.01 x 10 ^5 Pa) and a temperature of 27.0 C. At the end of the stroke, the air has been compressed to a volume of 46.2...
I'm given the energy for a crystal lattice is
U(Ro) = (-2Nq^2 ln(2) (1-1/n))/Ro for equilibrium separation (Ro).
I need to show that the work to compress the crystal from Ro --> Ro(1-x) is 1/2Cx^2
where C = (n-1)q^2 ln(2)/ Ro.
Any hints about where to start? I thought it would just...
Hi everybody! I'm new to this forum and i have a question i hope someone
of u can answer...
If i have a cylinder (made of plastic or some other light weight material) 1 meter long with an area of 1 dm2 that would be 10 liters right?
Now, if i place the cylinder vertical and place a 8 kg...
Homework Statement
A package with mass m sits on an airless asteroid of mass M and radius R. We want to launch a package straight up in such a way that its speed drops to zero when it is a distance 4R away from the center of the asteroid, where it's picked up by a waiting ship before it can...
A 57-kg water skier is being pulled by a nylon (Young's modulus 3.7 x 109 N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 18 m and its cross-section area is 1.9 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 190 N acts on her...
A 2480-kg statue is placed on top of a cylidrical concrete (Y = 1.6 x 10^10 N/m2) stand. The stand has a cross-sectional area of 6.5 x 10^-2 m2 and a height of 2.2 m. By how much does the statue compress the stand?
this one deals with volume deformation but I'm unsure of how to start it out...
A gymnast does a one-arm handstand. The humerus, which is the upper arm bone between the elbow and the shoulder joint, may be approximated as a 0.26-m-long cylinder with an outer radius of 1.12 x 10-2 m and a hollow inner core with a radius of 3.7 x 10-3 m. Excluding the arm, the mass of the...
A massless platform is kept on a light elastic spring.
When a particle of mass 100g is dropped on the platform from a hieght of 24cm it strikes the platform and compresses the spring by 1cm.
From what hieght should the particle be dropped to cause a compression of 4cm?
[text book answer: 396cm]
A 10kg box slides 4.0m down a frictionless ramp, then collides with a spring whose spring constant is 250 N/m. (Also, the ramp is angled at 30 degrees).
a). What is the maximum compression of the spring?
b). At what compression of the spring does the box have its maximum velocity?
I started...
Hey!
"Calculate the work done on 1 mole of a perfect gas in an adiabatic quasistatic compression from volume V1 to V2."
The work done on the gas in this compression is:
-\int_{V1}^{V2} P dV
Because we are talking about an ideal gas the ideal gas law applies so...
i have a question in which a train collides with a buffer stop of mass 1.5 tons that asks how far the buffer stop is compressed. this is similar to a block and spring question, except the spring has mass. how is this included in the equation to solve for compression distance?
A 12 kg block slides from rest down frictionless 35 degree incline and is stopped by spring w/ constant of 3.00x10^4 N/m. The block slides 3 m from the point of release to the point of rest against spring, how far has spring compressed?
Now I know this involves the equation Ws= 1/2kxmax2, but...
I would like to know how to calculate the flow rate of water under compression by a hydraulic weight. How do you calculate using the value of the weight on top of the water and the height of the water in a straight column?
here is how it goes,
A block of mass m_1 = 2.0kg slides along a frictionless table with a speed of 10m/s. Directly in front of it, and moving in the same direction, is a block of mass m_2 = 5.0kg moving at 3.0m/s. A massless spring with a spring constant k=1120N/m is attached to the backside of...
Let's say, we have a spring designed for compression which is kept vertically on a table. Now if we press on the spring from the top, it will naturally compress.
My question is, what will happen if we compress the spring from the middle instead of from the top. Will the portion above the...
Ok, I watched a TV show where they showed a test of a building designed to handle an attack like the OKC incident.
There was a visible overpressure wave on the high-speed film that hit the building and cracked the glass and knocked a couple pieces of sheetrock loose (the building otherwise...
https://chip.physics.purdue.edu/protected/Halliday6Mimg/h10p33.jpg
A block of mass m1 = 2.5 kg slides along a frictionless table with a speed of 12 m/s. Directly in front of it, and moving in the same direction, is a block of mass m2 = 6.2 kg moving at 3.7 m/s. A massless spring with spring...
Q. Given f(x)=2(x^2)-4 , determine the new equation g(x) after a vertical compression by a factor of 1/2.
The answer provided by the book is g(X) = (x^2)-2, but shouldn't it be g(x) = (x^2)-4 ?
Help will be much appreciated.
Regards,
Adam
A 7.94 kg stone is resting on a spring. The spring is compressed 10.2 cm by the stone.
(a) Calculate the force constant of the spring.
(b) The stone is pushed down an additional 28.6 cm and released. How much potential energy is stored in the spring just before the stone is released?
(c)...
A vertical spring with k = 495 N/m is standing on the ground. You are holding a 5.8 kg block just above the spring, not quite touching it.
How far does the spring compress if you let go of the block suddenly?
i thought i could just use k = F/distance
so 495(D) = (5.8)(9.8)
D = .1148...
Spring Question!
A 250g block is dropped onto a relaxed vertical spring that has a spring constant of 2.5N/cm. The block becomes attached to the spring compresses the spring 12 cm before momentarily stoppoing.
While the spring is being compressed, what work is done on the block by
(a)The...