Second law Definition and 491 Threads

The second law of thermodynamics establishes the concept of entropy as a physical property of a thermodynamic system. Entropy predicts the direction of spontaneous processes, and determines whether they are irreversible or impossible, despite obeying the requirement of conservation of energy, which is established in the first law of thermodynamics. The second law may be formulated by the observation that the entropy of isolated systems left to spontaneous evolution cannot decrease, as they always arrive at a state of thermodynamic equilibrium, where the entropy is highest. If all processes in the system are reversible, the entropy is constant. An increase in entropy accounts for the irreversibility of natural processes, often referred to in the concept of the arrow of time.Historically, the second law was an empirical finding that was accepted as an axiom of thermodynamic theory. Statistical mechanics provides a microscopic explanation of the law in terms of probability distributions of the states of large assemblies of atoms or molecules. The second law has been expressed in many ways. Its first formulation, which preceded the proper definition of entropy and was based on caloric theory, is Carnot's theorem, credited to the French scientist Sadi Carnot, who in 1824 showed that the efficiency of conversion of heat to work in a heat engine has an upper limit. The first rigorous definition of the second law based on the concept of entropy came from German scientist Rudolph Clausius in the 1850s including his statement that heat can never pass from a colder to a warmer body without some other change, connected therewith, occurring at the same time.
The second law of thermodynamics can also be used to define the concept of thermodynamic temperature, but this is usually delegated to the zeroth law of thermodynamics.

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  1. I

    Newton's 2nd Law: Calculate Mass of Cart

    Homework Statement Influenced by certain force, cart moved from place and driven 0.5 meters distance. When 200grams weight was placed on cart it moved 0.3 meters during the same period of time. Calculate the mass of the cart.
  2. wein7145

    Newton’s second law says F->net=ma-> So is ma-> force?

    Homework Statement Newton’s second law says F->net=ma->. So is ma-> a force? Explain. -> is a top bar arrow. Homework Equations F=ma or Fnet=ma The Attempt at a Solution (F) is a force and (m) is mass and (a) is acceleration. I don't really know what else this question is asking...
  3. K

    Second law of thermodynamics and the macroscopic world

    if second law of thermodynamics is emergent and not fundamental, in the same way color is emergent but atoms themselves are colorless, then perhaps black holes do not carry entropy or can violate the second law? second law of thermodynamics is shown to exist in the macroscopic world but how do...
  4. Monsterboy

    The second law of thermodynamics and evolution

    Mod note: The link in the original post contained a link to a crackpot, anti-evolution website (against our rules) that discusses a rejected paper (also against our rules). This link has been removed. Here's a link to Retraction Watch that covers the same (retracted) paper...
  5. vinicius0197

    Deducing Kepler's second law from Newton's laws?

    I've searched a little bit and found that I can derive kepler's third law from Newton's law of gravitation. That's okay. But I want to deduce kepler's second law too: "An imaginary line joining a planet and the sun sweeps out an equal area of space in equal amounts of time". I know it's possible...
  6. U

    Kepler's Second Law - reaching an unsolvable equation?

    I have been working on modeling the orbit of a satellite using Kepler's second law of planetary motion, and I have gotten to a point that is really quite bothersome to me. Essentially, my problem boils down to solving this equation for θ (angular position of the planet from the focus of the...
  7. Jimster41

    B Second Law and "Hidden Variables"

    Does QM uncertainty cause/explain the Second Law of Thermodynamics? If so is entropy the contribution of hidden variables, to our classical world? How about negentropy? http://arxiv.org/abs/quant-ph/0605031 Irreversibility in Collapse-Free Quantum Dynamics and the Second Law of Thermodynamics...
  8. S

    Newton's second law dp/dt version?

    Hello, I am confused by the momentum version of Newtons second law... So we know \bar{F}=m\bar{a}=m\left(\frac{d\hat{v}}{dt}\right) and that \bar{\rho}=m\bar{v}=m\left(\frac{d\bar{x}}{dt}\right) so is \frac{d\bar{p}}{dt}=m\frac{d\left(\frac{d\bar{x}}{dt}\right)}{dt} What I mean is this...
  9. Tonia

    Show that Newton's Second Law is valid?

    Homework Statement In a laboratory frame of reference, an observer notes that Newton's 2nd Law is valid. Show that Newton's 2nd Law is also valid for an observer moving at a constant speed, small compared with the speed of light, relative to the laboratory frame. Homework Equations dx'/dt =...
  10. A

    Why Can't We Rewrite Newton's Second Law as f = m*s/t^2?

    We all know that f = m*a. But why can't we write this as f = m * s/t^2 ? I know this is wrong. But what is the reason?? Need opinion on this. Thankyou.
  11. copypacer

    Bow and arrows, Newtons second law of physics

    Homework Statement If I have shot an arrow, would that arrow speed slow down due to air resistance? If so, would that mean that the the acceleration would be de-accelerating? Homework Equations f = ma The Attempt at a Solution This isn't a a homework problem, this is just something I was...
  12. D

    Is there any derivation of Newton's second law?

    is there any derivation of Newton second law?
  13. SpacemanRich

    Newtons' Second Law with Kinetic Friction Problem

    Homework Statement While moving in, a new homeowner is pushing a box across the floor at a constant velocity. The coefficient of kinetic friction between the box and the floor is 0.41. The pushing force is directed downward and an angle θ below the horizontal. When θ is greater than a...
  14. G

    Newton's second law (friction and pulley)

    Homework Statement Homework Equations F=ma, Fr = μN The Attempt at a Solution 1kg(1m/s^2) = 1N Fnet = (x) - 1.18 1N = x - 1.18 x = 2.18N 2.18N/9.81m/s^2 = 0.223kg I know this is not right because I was told that in my calculations Fnet and Fr go in the same direction. Also I didn't use...
  15. T

    Newton's Second Law. Involving an airplane.

    Homework Statement An airplane goes into a turn 3.6km in radius. If the banking angle required is 28 degrees from the horizontal, what is the plane's speed? Homework Equations Newton's Second. The only forces acting on the plane are gravity and the normal force. This isn't given in the...
  16. E

    Newton's Second Law - Net Force and Constant Acceleration

    1. A 92 kg water skier floating in a lake is pulled from rest to a speed of 12 meters/second in a distance of 25 meters. What is the net force exerted on the skier, with the assumption that his acceleration is constant?2. Force = Mass x Acceleration3. As far as I know, from using the equation...
  17. A

    Heat engine that violates Second law of thermodynamics?

    What does the P-V diagram for a cycle that violates the Kelvin Planck statement of the second law of thermodynamics look like? Would you say we cannot draw such a diagram BECAUSE of the second law?
  18. SnakeDoc

    Newton's Second law with Friction

    Homework Statement A 2.60 kg block is initially at rest on a horizontal surface. A horizontal force F→ of magnitude 7.39 N and a vertical force P→ are then applied to the block (see the figure). The coefficients of friction for the block and surface are μs = 0.4 and μk = 0.25. Determine the...
  19. R

    Newton's Second Law - Polar Coordinates

    Homework Statement Given that: theta_dot = 6 rad/sec m_A = 0.8kg u_k = 0.40 The problem also mentions that movement is at a constant angular rate so I think that means: r_doubleDot = 0 theta_doubleDot = 0 Lastly, at an instant: r_dot = 800mm/sec = 0.8m/sec 2. Homework Equations...
  20. P

    Vector Calculus to derive Newton's second law

    THIS THREAD HAS BEEN MOVED FROM ANOTHER FORUM BECAUSE IT IS HOMEWORK. BUT THERE IS NO TEMPLATE. Hi everyone, The problem gives that a particle moves in a circle with angular velocity ω. I know that r×ω=v, which is the velocity of the particle. However, I am told to differentiate and find τ=Iα...
  21. A

    The second law efficiency of compressor in gas turbine cycle

    hi friends, I've used the following equation in Thermodynamics: an engineering approach(Cengel) for calculating exergy efficiency of compressor. In fact, for an adiabatic compressor with negligible kinetic and potential energies, the second-law(exergy) efficiency becomes...
  22. G

    How Did Newton Originally Formulate His Second Law of Motion?

    So I was wondering how did Newton himself state his second law. One account I've read says that he first expressed it in the form that we refer to as impulse and momentum i.e. FΔt=mΔv. Today I was told that Newton never even wrote F=ma, and that the expression a=F/m is a much "Better" way of...
  23. J

    Solving for different masses in pulley system with KE

    Homework Statement So I am stuck on this homework problem. I understand the general direction I have to take, but my algebra and physics aren't good. Here's the problem: A simple Atwood's machine uses two masses, m1 and m2. Starting from rest, the speed of the two masses is 10.0 m/s at the end...
  24. B

    Gravity force between Earth and Moon from this angle

    Homework Statement Hello the text is in swedish but ill try my best to translate, What it says is: Determine the resultant force on the moon with regard to thr gravitation force from the sun and the Earth when it's in this position shown in the figure [ picture http://m.imgur.com/AfJOVZo ] J...
  25. T

    Fick's Second law from Boltzmann Equation

    Homework Statement Starting from the kinetic equation for the distribution function F*(t, r, v) of some labelled particle admixture in a gas, derive the self-diffusion equation ∂n*/∂t = D∇2n* for the number density n*(t,r) = ∫d3vF*(t,r,v) of the labelled particles. Derive also the expression...
  26. Y

    Calculating Acceleration and Force in a Racecar: A Newtonian Approach

    Homework Statement Here's the problem: A particular racecarcan cover a quartermile track (402m) in 6.40s starting from standstill. Assuming that the acceleration is constant, how many "g's"(all i know is that it means accleration due to gravity) does the driver experience? If the combined mass...
  27. A

    Some basic questions about the second law efficiency (gas turbine cycle)

    hi , will change first law efficiency proportional to second law efficiency? for example in gas turbine cycle, how change? other equation: hi , will change first law efficiency proportional to second law efficiency? for example in gas turbine cycle, how change? other equation: How is the...
  28. S

    Derivation of Bernoulli's equation via Newton's second law

    In the derivation on Wikipedia, it says the following ## \frac{dv}{dt}=\frac{dv}{dx}\frac{dx}{dt}=\frac{dv}{dx}v = \frac{d}{dx}[\frac{v^2}{2}] ## How do they go from the second to last to last equation? I've been trying to understand, but I think I'm just looking over something incredibly simple.
  29. A

    Newton's second law for rotation, when does it apply?

    I'm reading Halliday's chapter or rigid body rotation. In the derivation of Newton's second law for rotation, it is assumed that the object is hinged about some axis ( the connection would be a frictionless pin). The law is derived for such a connection, but is later applied to objects that...
  30. Q

    Is it possible to create order from disorder in a thermodynamic system?

    Hi all I hope you can help me with the statistical origins of the Second Law. I cannot find anything that mathematically proves that order from disorder is impossible only improbable. Leading me to think that a system (Kelvin engine) that allows order to be created from disorder (work from...
  31. G

    What did I do wrong? (Newton's Second Law)

    Homework Statement (This is a problem I made up, so if the problem is with the problem, let me know.) A 500N ball is being pushed down a carpeted decline of 24° to the horizontal. It starts from 1 m/s and ends the 20 foot (6.1 m) decline at 32 m/s. What is the coefficient and force of kinetic...
  32. L

    Newton's second law, how to write it?

    Very stupid question, but I am writing out my problem and need this formula; in typed symbols, so I can copy and paste it into my document. Like √ Hope that makes sense... Thanks!
  33. TehCylons

    Struggling with Newton's Second Law Equations

    Hello, I am a second year undergrad student majoring in Astronomy and Computer Science. I am having a hard time with my physics courses for the following reasons: 1) SmartPhysics is the text we use (if you can call it a text...). Basically it is an online HW and "pre-lecture" system that...
  34. C

    Newton's 2nd Law: Find Forces w/ Constant Speed, 38°

    Renee is on Spring Break and pulling her 21-kg suitcase through the airport at a constant speed of 0.47 m/s. She pulls on the strap with 120 N of force at an angle of 38° above the horizontal. What is the normal force and the total resistance force (friction and air resistance) experienced by...
  35. Shadow236

    Newton's second law with vectors

    Homework Statement A 9 kg object is subjected to two forces, http://www.webassign.net/images/Farrowbolditalic.gif1 = 7 N i - 4 N j and [PLAIN][PLAIN]http://www.webassign.net/images/Farrowbolditalic.gif2 = 7 N i - 9 N j. The object is at rest at the origin at time t = 0. (a) What is the...
  36. T

    Calculating Tension and Friction in Newton's Second Law Problems

    Homework Statement Homework EquationsThe Attempt at a Solution I'm not sure if their are frictional forces on the cart and the mass m. Also do I have to somehow get the length of the bar involved ?, not sure how to do that. Also is their a tension acting on the bar ?
  37. kq6up

    Assumptions in Newton's Second Law

    With my understanding of Newton's second -- if I am going to use it to solve a problem, I would need to write ALL velocities in the system with respect to the lab frame (inertial rest frame) -- correct? Thanks, Chris
  38. T

    Buoyant Force & Gravity Force find Fnet (Newtons Second Law)

    Homework Statement A 4 kg book sinks a distance of 5m in the ocean starting from rest. The volume of the book is 0.00266666666666667 m^3. We assume the velocity of the Earth is zero during the whole process, and gravity and the bouyance force are the only interactions of the book. (Note...
  39. N

    How to prove solution to Fick's second law by substitution

    Homework Statement I am to prove that a solution to the differential equation Fick's second law is valid by substitution. Homework Equations Fick's second law: \frac{\partial C}{\partial t} = \frac{\partial}{\partial x} \left( D \frac{C}{\partial x} \right) Solution to Fick's second...
  40. gcombina

    VECTORS, NEWTONG SECOND LAW [Chapter 4, question 5 (Focus on Concepts)

    Two vectors acting on a moving object that has a mass of 27kg.One force has a magnitude of 12 N and points due south, while the other force has a magnitude of 17N and points due west,find acceleration of the object? Calculate the resultant force acting on the object: RF² = 12² + 17² RF² =...
  41. Greg Bernhardt

    What is the second law of thermodynamics

    Definition/Summary The second law has various forms. I shall give these here then show how they are logically connected. Entropic Statement of the Second Law: There exists an additive function of thermodynamic state called entropy which never decreases for a thermally isolated system...
  42. Greg Bernhardt

    How Does Newton's Second Law Explain Force and Motion?

    Definition/Summary Net force = rate of change of momentum (= mass times acceleration of the centre of mass, if the mass is constant) Net impulse = change of momentum These are vector equations, so they apply to each direction individually The rotational versions are: net torque =...
  43. S

    When does Newton's Second Law not hold?

    I know a high school student who has this question. My first thought was that it does not hold if the mass is changing with time. I was thinking of the situation of a snowball rolling down a mountain picking up more snow as it rolls to the bottom. There is obviously mass gained so does Newton's...
  44. Soumalya

    Steam Power Plants and the Second Law of Thermodynamics

    We know that a steam power plant is basically a heat engine with steam as the working fluid. According to the second law of thermodynamics a heat engine must operate between two thermal energy reservoirs one at a higher temperature(source) than the other(sink) to produce net work in a...
  45. J

    Second Law of Thermodynamics in Terms of Electromagnetic Principles?

    In Heaviside's Electromagnetic Theory (1895) he says that "The second law of thermodynamics itself needs to be established from electromagnetic principles, assisted by the law of averages..." I attempted to Google whether or not anyone has derived the second law via electricity and magnetism...
  46. P

    Confusion regarding Kelvin-Plank statement of Second Law

    Hello there. New here. I have read and tried to understand the Kelvin Plank statement of the second law. Essentially, it would imply, it is impossible to convert a given quantity of heat completely to work. Why is it so? I mean, what is the justification for this? I am ready to...
  47. S

    Power/Work problem with some Newton's Second Law

    Homework Statement A 6.7-kg box is being lifted by means of a light rope that is threaded through a single, light, frictionless pulley that is attached to the ceiling. (a) If the box is being lifted at a constant speed of 2.0 m/s, what is the power delivered by the person pulling on the rope...
  48. N

    Bridging connection between Newton's second law and Work

    Homework Statement I'm trying to bridge F =ma to m/2(dv2/dx). It was shown in the course book I have but there's a huge disconnection in the steps. The Attempt at a SolutionF =ma = m.(dv/dt) = m(dv/dx . dx/dt) = mv(dv/dx). Where do I take it from here?
  49. J

    Homeopathy and the second law of thermodynamics

    Homeopaths assert that dilution of a medicinal substance in a water -alcohol mixture, followed by forceful shaking (called "succussion") would create a memory of that substance in the solution. Critics argue that shaking of liquid water is unable to create macroscopic order, as this would...
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