What is Second law: Definition and 491 Discussions

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. P

    Newtons second law perspective problems

    I'm having some problems in observing the total force which. The original situation is numbered "1." There is a resultant force F_r = m_2 \cdot g - k \cdot m_1 \cdot g and because of that force m1 has the acceleration a. What I can't seem to figure out is is that resultant force...
  2. D

    Does evolution violate the second law of thermodynamics?

    does evolution violate the second law. from my understanding the second law only applies in a closed system and the Earth is an open system with an energy output. (the sun) so therefore entropy is increasing and it doesn't violate the law correct or incorrect?
  3. T

    Apparent Weight and Newtons Second law Problems

    Homework Statement 1. The first problem states that an elevator moves downwards with an acceleration of 3.36 m/s^2 with someone inside that has the mass of 64.2 kg. Now what is the apparent weight? 2. Blocks A and B are right next to each other. If 5.1 N were applied on block A, calculate...
  4. JJBladester

    Newton's Second Law vs. Energy Equations

    Homework Statement I'm taking a test next week on kinetics and energy of moving particles. Problems include things like sliding blocks, friction, braking automobiles, collars sliding on poles, springs, max/min heights/velocities, tensions, accelerations, etc... We learned two ways of...
  5. F

    Second Law Pairs, Third Law Pairs, or Neither?

    Homework Statement All of the force pairs described below are equal in magnitude and opposite in direction. Which of the pairs are Newton's third-law pairs, which are second-law pairs, and which are neither? 1. A baseball pushes on a window breaking it; the window pushes back on the baseball...
  6. L

    Deriving Vr and V(sub-theta) from Kepler's second law and

    Deriving Vr and V(sub-theta) from Kepler's second law and... Homework Statement Beginning with r=[a(1-e2)]/(1+e*cos \theta) and Kepler's second law, derive general expressions for vr and v\theta for a mass m1 in an elliptical orbit about a second mass m2. The final answers should be...
  7. E

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    Homework Statement Two objects A and B, with masses m1=1.00kg and m2=2.00kg, are connected with an ideal string. Object A is moving on an ideal incline with 0 friction. Object B is moving vertically. A force F is working on object B. Its magnitude is 6.00N. Object b is accelerating downward...
  8. B

    Newtons Second Law: Finding net forces

    Homework Statement A spaceship lifts off vertically from the Moon, where g = 1.6 m/s2. If the ship has an upward acceleration of 1.0 m/s2 as it lifts off, what is the magnitude of the force exerted by the ship on its pilot, who weighs 735 N on Earth? From Halliday, Fundamentals of Physics...
  9. A

    Violation of the second law of thermodynamics?

    Homework Statement This is a basic conceptual question that i encountered when i was reading the section on Entropy on the book by K. Huang on statistical mechanics, it goes like this. In a reversible isothermal expansion of an ideal gas, i know that the change in internal energy is zero...
  10. J

    The first and second law of thermodynamics

    In my thermodynamics book it states that the first law is, " When a system undergoes a complete cycle the net heat supplied plus the net work input is zero" And then it states that for the second law, "In any complete cycle the gross heat supplied plus the net work input must be greater...
  11. P

    Problem with Newtons second law

    hello! here's my problem: Newtons second law implies: F=m*dv/dt+v*dm/dt first part of the equation says if I act on the object then it's reaction will be acceleration, but the second part says if act on the object it will cause changes in object's mass. In case where I'm dealing with non...
  12. P

    Second law of thermodynamic and probability

    In my opinion the nature of the second law of thermodynamic is probabilistic and it sholud be formulated in a way which determine probability that given proces occurs (the probability should depened on the tatal entropy change, if its negative the proces is very unlikely but in principle...
  13. Z

    QM vs. the second law of thermodynamics

    One of the most classical and verified principles of physics is that entropy never decreases. E.g. gas occupying half of a 1L container will quickly disperse quite-evenly throughout the container. It seems however, that QM easily allows momentary violations of this principle. For instance...
  14. T

    Maximizing Acceleration and Braking Distance for a Cyclist on a Horizontal Road

    Homework Statement A cyclist and her bicycle have mass 75kg. she is riding on a horizontal road, and positions herself so that 60% of the normal contact force is on the back wheel and 40% on the front wheel. The coefficient of friction between the tires and the road is 0.8. What is the...
  15. J

    Second law of thermodynamics - what does it actually mean?

    I read in the paper that the 2nd law of thermodynamics says energy is constantly decreasing in a closed system. Is that true? I learned the law in my first year of college but I can't remember its implications. Anyway, I can't find a straight 'true' or 'false' answer anywhere, and it's...
  16. DaTario

    Kirchhoff's second law and inductor's field

    Hi All, The basis of Kirchhoff's second law is that an electric potential function is well defined, in such a way that, in a closed path, the potential difference between initial and final points (the same point) will be zero. However, when we introduce in the circuit an inductor, we...
  17. A

    Deriving Newton's 2nd Law for Single Body in 1D Case

    Homework Statement How can Newton's 2nd law be derived for a single body in an 1Dimesional case ? Homework Equations F=m(du/dt) The Attempt at a Solution It is given that the principle of conservation of energy must be used,for the derivation. Are there any more hints?
  18. M

    Pulling a box up a ramp - Newton's second law

    Homework Statement A box is being pulled up a ramp with a force F. The ramp has a 30 degree incline with the horizontal. write the sum of the forces in the x direction and y direction. Make the x and y coordinate system be parallel and perpendicular with the ramp. The Attempt at a...
  19. W

    WCFSGS'S Version: Generalized Second Law of Thermal Dynamics

    WCFSGS' Version: Generalized Second Law of Thermodynamics We have known that there has been some generalization to the second law of thermodynamics. We like to present here the Version of WCFSGS about this generalization. At this moment, we are not quite sure if our version is different from...
  20. B

    Oscillations Spring constant Newton's second law

    So i have the equation m*(d2x/dt^2)+c*(dx/dt)+kx=0, where d2x/dt^2 is the second derivative. So I'm given that m=10 kg, and k=28 N/m. At time t=0 the mass is displaced to x=.18m and then released from rest. I need to derive an expression for the displacement x and the velocity v of the...
  21. A

    Can the Second Law of Thermodynamics Explain Freezing Water at -5°C?

    Homework Statement Show that the second law of thermodynamics predicts the spontaneous freezing of liquid water at -5^{o}C under 1 bar of constant pressure. Assume that Cp is temperature independent. Standard water fusion enthalpy = 6.008 kJ/mol @ 273.15 K \geq has to be interpreted as...
  22. C

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    Homework Statement In the tropics, the water near the surface is warmer than the deep water. Would an engine operates between these two surfaces violates the second law? Why? Homework Equations Clausius statement: Heat generally cannot flow spontaneously from a material at lower...
  23. R

    Finding Spring Stiffness and Effective Mass for Suspended Beam

    Homework Statement A cable is used to suspend a 400 kg safe. It is being lowered at 6 m/s, when it stops suddenly. Find the maximum dynamic tension and the frequency of vibration. k=2(105 N/m Homework Equations Newton's 2nd law The Attempt at a Solution Well I easily found the...
  24. S

    How Do You Calculate the Mass of a Trailer Using Newton's Second Law?

    Homework Statement A car pulls a trailer along a level road at a steady speed of 10 m/s and the pull on the trailer is 100N. When the car accelerates at 0.5 m/s2 the pull on the trailer is 150N. Assuming the resistance to motion to be constant, find the mass of the trailer. Homework...
  25. H

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    from the second law of Newton we know... applied force is proportional to the change of momentum...that means F= k( mv-mu) where k is constant ...from here now proof F=ma
  26. J

    Understanding the 2nd Law of Thermodynamics: Explanation and Examples

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  27. S

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  28. S

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    Homework Statement the rotor blades of a helicopter propel 2500 kg of air vertically downwards every second. The air, initially at rest, is accelerated to a speed of 15 ms-1. If the helicopter starts to rise with an acceleration of 12.5 ms-2, the mass of the helicopter is... a. 1680 kg...
  29. J

    Understanding Newton's Second Law: Force and Velocity Explained

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  30. A

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  31. A

    Applying Newtons Second Law to Vertical Motion

    18. An elevator that weighs 3.5 x 103 N is accelerated upward at 1.0 m/s2. What force does the cable exert to give it this acceleration? A. 357 N B. 0 N C. 3500 N D. 3857 N (For this quesion I was really confused and I guessed that the force of tension in the cable was what the cable...
  32. T

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  33. S

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  34. S

    Does Gravity Invalidate the Second Law of Thermodynamics?

    Says, in a closed system disorder is always increasing, more or less. But with gravitational forces, matters are sticking together--creating order. Thus the law=invalid Can I get my Noble?
  35. T

    Newton and approach to second law

    I am curious about the how Newton discovered his laws of motion and his law of universal gravitation. It seems in modern education, the laws are introduced to students somewhat 'magically', and then the students then do various practical experiments and calculations to verify them. If we step...
  36. B

    Second Law of Thermodynamics - Postulate or Provable?

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  37. T

    Second Law of Thermodynamics - Entropy

    Homework Statement Premium gasoline produces 1.23×108 J of heat per gallon when it is burned at a temperature of approximately 400 ºC (although the amount can vary with the fuel mixture). If the car's engine is 25.0 % efficient, three-fourths of that heat is expelled into the air, typically...
  38. M

    Weird second law of Newton for rotation

    the proof of second law of Newton for rotation goes like this: take a sphere rotating around some far axis FT=maT FT=m * ALPHA * R multiple by R tau = mR2 * ALPHA and we can say it true for every limit mass in a body. so sigma tau = sigma (mR2) * ALPHA sigma tau = I * ALPHA...
  39. D

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    Homework Statement Stopping a Salmon The tension at which a fishing line snaps is commonly called the line's "strength." What minimum strength is needed for a line that is to stop a salmon of weight 85 N in 11.6 cm if the fish is initially drifting at 3.0 m/s? Assume a constant acceleration...
  40. S

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  41. S

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  42. A

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  43. N

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  44. S

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  45. S

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  46. C

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  47. M

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  48. P

    Calculating Net Force from Acceleration and Distance: A Problem Solving Approach

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  49. W

    How Do You Calculate the Total Force on a Block on an Inclined Plane?

    Newton's second law problem; Please Help! Block M = 7.50 kg is initially moving up the incline and is increasing speed with a = 4.35 m/s2. The applied force F is horizontal. The coefficients of friction between the block and incline are fs = 0:443 and fk = 0:312. The angle of the incline is...
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