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. A

    What Is the Average Force Exerted on His Torso by His Legs During Deceleration?

    Homework Statement A person jumps from the roof of a house 4.4 m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of 0.70 m. The mass of his torso (excluding legs) is 40 kg. (a) Find his velocity just before his feet...
  2. S

    Entropy & second law of thermodynamics

    Homework Statement Consider all possible isothermal contractions of an ideal gas. The change in entropy of the gas: A) does not increase for any of them B) increases for all of them C) is zero for all of them D) decreases for all of them E) does not decrease for any of them...
  3. F

    What is the tension in the cord holding a suspended sphere at a 23° angle?

    Homework Statement A sphere of mass 1.1 × 10^-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 23° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord. Homework Equations F_g = m*g F_net...
  4. H

    Second law of thermodynamics and black holes ?

    second law of thermodynamics and black holes ?! I am having a hard time thinking about the perservation of the second law of thermodynamics in black holes. If we throw a mass that have some level of disorder (entropy) into a black hole, it will disappear and that will appear to us as violating...
  5. M

    How Do Magnets Propel the Superman Ride at Magic Mountain?

    In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 42 m/s (around 90 mi/h) in a time of 8.1 s. The mass of the car and riders is 4800 kg. Find the average net force exerted on the car and riders by the magnets. my...
  6. Z

    Use Newton's second law to find the net force acting on both blocks

    Homework Statement Two blocks with masses m1 = 1.10 kg and m2 = 3.20 kg are connected by a massless string. They are released from rest. The coefficient of kinetic friction between the upper block and the surface is 0.490. Assume that the pulley has a negligible mass and is frictionless, and...
  7. O

    Solve Newton's Second Law: Find Angle of Elevation w/ 1.86cm Blocks

    Homework Statement Two calibrated elevation blocks have a combined thickness of 1.86 cm. Find the angle of elevation of the 1.00-m long track for this situation. Homework Equations F = ma? The Attempt at a Solution I'm having a LOT of trouble, even beginning to draw the picture for...
  8. A

    4-9 Force/mass - Newton's Second Law question

    Homework Statement When a horizontal force F is applied to a box having a mass m, the box sides on a level floor, opposed by a force of kinetic friction f. a. What magnitude of acceleration occurs for the box? b. Calculate the acceleration if the horizontal force is 412N, friction is...
  9. N

    Why is the Second Law of Thermodynamics Empirical?

    The second law of thermodyanics states that heat cannot flow from a colder region of space to a hotter region; When you open a door that previously separates your warm house from the cold outside; What substance/process is flowing then to drive the heat out of your warm house to make your...
  10. I

    Verifying the Limits of Newton's Second Law with Blocks

    Homework Statement Imagine that there is a slab (call it block 1) on top of which sits a block (call it block 2). The slab connects to a cable that passed through a pulley and attaches to another block (call it block 3), hanging freely. Assuming that the coefficient of kinetic friction is...
  11. S

    Newton's Second Law and Tension - very confused

    This is not a homework problem so I am ignoring the template. I was watching Walter Lewin's video lectures and this experiment he performs intrigues me. I have given it a thought for over an hour but have no answer as to which and why will that string break. I have uploaded the experiment...
  12. K

    Newton's Second Law: Acceleration & Mass Relationship

    According to Newton's second law, how are acceleration and mass related? Directly or indirectly when force is constant? I believe it indirectly. Am I right?
  13. F

    Second law of thermo on a macroscopic scale

    Thermodynamics makes good predictions for macroscopic experiments, but the actual physics is going on in the microscopic particular level. The second law of thermo is often thrown around, usually by people who couldn't explain F=ma back to you. My question is the way the second law...
  14. M

    Question Newton's second Law: F= M * A

    Hi! Why is a in F=m*a equal to a =(d^2 x) / (d t )^2 and not to (d x)^2 / (d t )^2 Mark
  15. D

    Newton's second law cosine and sine

    Newton's second law is taking my mind for a spin and for some reason had me contemplating how it works for several hours. This is all with respect to an incline and an object sitting on the incline with no friction. If the problem does not give you the mass of the object can you completely...
  16. S

    The d in Newton's second law of motion?

    the "d" in Newton's second law of motion? Hello there my fellow quantum inquisitors. I was just over in the physics forums library and was wondering what the "d" in the equations of Newton's second law of motion means? Thanks in Advance, ScienceNerd36.
  17. 1

    Help with Newtons Second Law Question Please.

    Homework Statement Calculate the force needed to accelerate a 2.0kg ball at 3.0ms^2 (A) In space, a long way from Earth. (B) On a frictionless horizontal surface, near the surface of the earth. (C) vertically upward, near the surface of the earth.Homework Equations F = m*a The Attempt at a...
  18. D

    How Do You Calculate Forces and Accelerations in a Two-Block System?

    Homework Statement A triangle shaped moving block of mass M2 is pushed by force F , a block of mass M1 is on the other block, a)what should be the F force so that the block will be in rest relative to M2? b)what should be the Acceleration of M1 so that the block M2 will move up on the block...
  19. R

    Exploring Thermodynamic Laws: Does it Violate the Second Law?

    Homework Statement Here is the question: http://img93.imageshack.us/img93/9159/snap1k.jpg Homework Equations First law: Q=W+U Second law: no thermodynamic system can convert heat into work 100%; heat flows from hot to cold reservoirs spontaneously; entropy always increases The...
  20. E

    Second Law of Thermodynamics - heat pumps and air conditioners

    Homework Statement A heat pump operates as an air conditioner, drawing 20000 Btu per hr from a building. It is operating between 21 degrees Celsius and 41 degrees Celsius. a) If the COP (coefficient of performance) is 35% that of a Carnot air conditioner, what is the value of the effective...
  21. K

    A question on second law of thermodynamics

    Homework Statement calculate the change of entropy (for the system) when 3 moles of a monatomic perfect gas, for which Cp,m = (5/2) R, is heated and compressed from 298K and 1atm to 398K and 5atm. ans: -22.1 JK-1 Homework Equations for an ideal gas, Pv=nRT for iso-choric condition...
  22. I

    Second law of Thermodynamics - does this violate it?

    As I understand it, the second law means that energy always tends to get delocalized. A blunt way to put it is that you can't make energy flow from a cold source to a hot one without doing work ( ie localizing a point by delocalizing another ) But here is an idea that struck me Suppose you...
  23. D

    Newton's Second Law & Moment of Inertia Derivation?

    Homework Statement We did something very similar to this in lab http://webenhanced.lbcc.edu/physte/phys2ate/2A%20LAB%20HANDOUTS/Moment%20of%20Inertia.pdf Use Newton's Second to derive the expression for the experimentally determined moment of inertiaHomework Equations Newton's Second Law is...
  24. Q

    Help With Net Force Formula and Newton's Second Law

    Homework Statement 1. Compare the mass of the system to the slope. Does your data support Newton's Second Law? 2. Using the words "directly" or "indirectly" briefly explain how force, mass, and acceleration are related to each other, making specific references to the parts of the...
  25. Y

    Quesiton on Newtons Second Law, Need Help.

    Two blocks of identical material(Block1 20kg, Block2 10kg) are connected by a light rope on a level surface. An applied force of 55Nright causes the blocks to accelerate. While in motion, the magnitude of the force of friction on the block system is 44.1N. 2. Homework Equations...
  26. C

    Netwons second law and rocket equation

    according to Newtons second law: \vec{F}=\frac{d\vec{p}}{dt}=m\frac{d\vec{v}}{dt}+\vec{v}\frac{dm}{dt}(1) ie force impelled on a body is equal to the rate of change of momentum however when we use calculus to derive rocket equation we get: m\frac{d\vec{v}}{dt}={\vec{v}_{gas\; relative \;to...
  27. P

    Newton's Second Law for a System of Particles

    Homework Statement A shell is shot with an initial velocity 0 of 29 m/s, at an angle of θ0 = 56° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. How far...
  28. A

    Project for Newtons Second Law of Rotational Motion

    Any help would be appreciated. I'm supposed to make a 20 slide project in power point to depict how angular acceleration, net torque, and moment of inertia are related to one another, as sated in Newton's Second Law of Rotational Motion. I'm supposed to describe the basic concept of the Law and...
  29. T

    Problems with Newton's Second Law

    Homework Statement Given a car being pushed by a constant force: a. How will the acceleration change in relation to the mass of the car? --> Done, it'll decrease b. How will a graph of acceleration in the y-axis and and (1/m) being the x-axis will look like? What will the slope of the...
  30. M

    The Vector nature of Newton's Second Law

    Homework Statement A wagon carries a child. Together mass is 28.5kg. You pull on the handle of the wagon at an angle of 40degrees from the horizontal. The wagon travels over a level horizontal sidewalk. A force of friction of 12.0N acts on the wagon. a) What is the net force acting on the...
  31. M

    Newton's Second Law: Calculating Net Force on a Wagon with a Child (28.5kg)

    A wagon carries a child. Together mass is 28.5kg. You pull on the handle of the wagon at an angle of 40degrees from the horizontal. The wagon travels over a level horizontal sidewalk. A force of friction of 12.0N acts on the wagon. a) What is the net force acting on the wagon? Note...
  32. T

    The Vector Nature of Newton's Second Law

    Homework Statement A crate of mass 50.0 kg is pulled across a level concrete floor by a force of 300.0 N acting 30.0 degrees above the horizontal. The crate moves at a constant velocity of 0.962 m/s. What is the force of friction acting on the crate? Homework Equations SINE, COSINE...
  33. B

    Gravity and the Second Law of Thermodynamics

    Can gravity be expressed in terms of the second law of thermodynamics?
  34. C

    Newton's Second Law and Inertial Frames Of Refence

    I have a question about Newton's Second Law and Inertial Frames of Refrence. It is canon that Newton's Second Law is only applicable in an inertial frame of refrence. Newton's Second Law is the net force acting on a body is equal to the time rate of change of the body's linear momentum...
  35. J

    Fick's Second Law: Laplace Transform to solve PDE in Spherical Coords

    Fick's second law in general form: \frac{\partial C}{\partial t} = D\nabla^2 C In spherical form: \frac{\partial C}{\partial t} = D\frac{1}{r^2}\frac{\partial}{\partial r}\left( r^2\frac{\partial C}{\partial r} \right) (Assume all changes in phi and theta to be zero, so we are only concerned...
  36. A

    Torque and netwon's second law: True or false question

    Homework Statement True or false: "Torque cannot exist without a force acting on the body" Homework Equations t = force(rsin(theta)) The Attempt at a Solution I can't find a reason to believe the statement is false. Look at the equation: t = Frsin@, where the @ sin is theta, and F...
  37. A

    Newton's second law net force = mass

    Homework Statement True or false: "Given that the same force acts on particle A and B, If object B covers the same distance in less time than particle A, object B is less massive than object A" Homework Equations net force = mass(acceleration) The Attempt at a Solution I believe...
  38. A

    Difference between Newton's first and second law

    Homework Statement I'd just like some verification really: see step three Homework Equations net force = 0 --> equilibrium; net force = ma The Attempt at a Solution I've come to the conclusion that the difference between Newton's first law and second law is acceleration...
  39. E

    Question about Newton's second law

    A 4.0 kg block is put on top of a 6.0 kg block. In order to cause the top block to slip on the bottom one when the latter is held fixed, a horizontal force of 12N must be applied to the top block to overcome the maximum static friction. The coefficient of kinetic friction for all contact...
  40. S

    How Do You Calculate Force and Acceleration on an Inclined Plane?

    Homework Statement The 60 kg block starting at rest is pushed 7.8 m up a ramp at an angle θ = 26.5° to the horizontal in 15 s. If the coeficient of kinetic friction is 0.17: What is the acceleration of block? What is the force used to push the block up the ramp? Homework Equations Fnet...
  41. U

    Question related to Newton's second law

    Homework Statement Given data: - The weight of (A) is 3.6 N. - The weight of (B) is 5.4 N. - The kinetic friction coefficient between all surfaces is 0.25 http://img369.imageshack.us/img369/2999/figurehg3.png The problem statement: Find the required force for dragging (B) with a...
  42. S

    How Does Elevator Acceleration Affect Scale Readings?

    Homework Statement A 60.0 kg person stands on a scale in an elevator. (solve in Newtons) What does it read when the elevator is accelerating upward at 3.5 m/s2? What does it read when the elevator is accelerating downward at 3.5 m/s2? Homework Equations Fnet = ma The Attempt at...
  43. A

    Second Law of Thermodynamics problem

    Homework Statement As shown in the figure, a system undergoing a power cycle develops a net power output of 1MW while receiving energy by heat transfer from steam condensing from saturated vapor to saturated liquid at a pressure of 100 kPa. Energy is discharged from the cycle by heat transfer...
  44. P

    Need help on question Newton's second law

    [b]1.Bsed on Newton's 2nd law,predict what will happen to the spaceshutter's acceleration after a lift as it burns its fuel Homework Equations F=ma The Attempt at a Solution since fuel is being burnt, thus mass of space shutter is decreasing as fuel is being burnt. force is...
  45. J

    Newton's second law and a locomotive

    Homework Statement A 50,000 kg locomotive is traveling at 60.0 when its engine and brakes both fail. How far will the locomotive roll before it comes to a stop? I'm completely lost and i don't know how to get started on this question
  46. N

    Evolution and the Second Law of Thermodynamics

    I'm not quite sure where to put this, in Physics or Biology. Mentors, please move this to the most appropriate location. A common argument put forth by creationists/intelligent design proponents is that evolution/abiogenesis violates the second law of thermodynamics, by causing a decrease in...
  47. N

    Question on Newton's Second Law of Motion

    Homework Statement A space probe has two engines. Each generates the same amount of force when fired, and the directions of these forces can be independently adjusted. When the engines are fired simultaneously and each applies its force in the same direction, the probe, starting from rest...
  48. G

    How Can I Apply Newton's Second Law with Friction in Real-Life Problems?

    ok, i need some serious help with Newtons second law. like i kind of understand it, but adding things like friction are giving me real problems. does anyone have any good resources or tips on how to understand/comprehend this? and i have a prolem: a man pushes a 15 kg lawnmower at constant...
  49. N

    Question on Newton's Second Law of Motion

    Homework Statement Here's the question: An arrow, starting from rest, leaves the bow with a speed of 25.0 m/s. If the average force exerted by the bow were doubled, all else remaining the same, with what speed would the arrow leave the bow? Homework Equations F = ma The Attempt...
  50. J

    Rotation with Newtons second law and work energy

    Heres the problem http://img141.imageshack.us/img141/2820/49686394mt3.jpg Now I have to work it out using Newtons second law and Work energy... For Newtons second Law (F = ma)...would I be using I = mk^2 M = I\alpha than setting up F = ma...? and for work energy I am...
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