Work Definition and 999 Threads

In physics, work is the energy transferred to or from an object via the application of force along a displacement. In its simplest form, it is often represented as the product of force and displacement. A force is said to do positive work if (when applied) it has a component in the direction of the displacement of the point of application. A force does negative work if it has a component opposite to the direction of the displacement at the point of application of the force.
For example, when a ball is held above the ground and then dropped, the work done by the gravitational force on the ball as it falls is equal to the weight of the ball (a force) multiplied by the distance to the ground (a displacement). When the force F is constant and the angle between the force and the displacement s is θ, then the work done is given by:




W
=
F
s
cos


θ



{\displaystyle W=Fs\cos {\theta }}
Work is a scalar quantity, so it has only magnitude and no direction. Work transfers energy from one place to another, or one form to another. The SI unit of work is the joule (J), the same unit as for energy.

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  1. Leo Liu

    How does this approximation work?

    My physics textbook does the approximation in the homework statement. Here, x and y are variables and are much smaller than h. I attempted to figure out why it is valid with ##(1+x)^-1\sim 1-x##. However, after trying to convert the initial equation into 1+x form, I obtained ##h(1-(h+x-y-1))##...
  2. M

    Check/verify my work and answer? Pseudoinverse of matrix

    Also, if it's possible, I would really like to know the command for inputting this kind/type of problem on Ti-89 in order to check correct answers for linear algebra problems like this one.
  3. momoneedsphysicshelp

    Work done by gravitational force (new problem)

    first to find the force by gravity, it would be 4 kg * 9.8 m/s = 39.2 N then solve for work using W= F*d*cos(theta) W = 39.2 N * 3 m * cos 28 = 103.83 J My confusion is do I use sine or cosine and what angle do I use, the actual angle of the incline or the angle between the mass and the...
  4. momoneedsphysicshelp

    Solving Incline Problem with Normal Force: 39.36

    first I tried to use gravitational force to solve it but because of the incline the gravitational force is zero. so I used normal force to solve. Normal force is 39.36, then f*d*cos(theta) 39.36*3.6*cos(55) it would be cos 55 because the angle is in the direction of normal force from the...
  5. E

    Viscous work and dissipation of energy

    imagine two flat plates, the upper one moving with speed v in the +z direction, the lower one is stationary is the upper plate inserting work (per unit time) on the fluid system or the system exerting work on the plate? or both? why they don't cancel each other e.g if the fluid is receiving work...
  6. D

    Physics How Can I Publish My Work Without a PhD in Physics?

    I am not a physicist but I have a degree in applied mathematics and have taken physics classes up to special relativity and I was allowed to sit in on a General Relativity course for a semester. I have few thoughts that I think are interesting and want to pursue them further but they are still a...
  7. Wrichik Basu

    How is the MOC 3052 triac driver optocoupler supposed to work?

    I have the following circuit with the MOC 3052 Triac driver optocoupler: The diagram of the MOC 3052 has been made with respect to its datasheet. The two legs of the transformer are labelled T1 and T2. The green wire of the optocoupler has been connected to the Gate of the BT 139 Triac. Also...
  8. R

    Study Block during Master's Thesis work

    Hi, I am currently in the situation where I'm trying to finish my master thesis. I have 65 to 70 pages written but I still have the editing to do. Simulations are nearing the end so I have most of what I need to finish. Unfortunately, I still need to read papers and get more background...
  9. N

    What Really Matters in Job Satisfaction: Beyond Salary?

    How satisfied are you with your salary at work? Do you know what your peers are getting based on work gossip or just asking directly? Does your university/company/organization implement a pay transparency policy?
  10. J

    Determining non-conserved work from a collision

    So I know from a previous part of the problem that the kinetic energy right before the collision is 94.556. The non conserved work would also equal the change in kinetic energy + change in potential energy. What I don't understand is how the potential or kinetic energy would change during the...
  11. J

    Work Problem: Spring and Friction, find final Speed

    First calculated non conservative work from friction using Ff=umg. Non conservative work was -8.82. Initial kinetic energy, 1/2mv^2, was 136.89. Change in potential energy, 1/2k(x)^2, was 8.1216. Ekf-Eki+Change Ep=Work NC Ekf=W NC+Eki-change Ep =-8.82+136.89-8.1216=119.9484 Ekf=1/2mv^2...
  12. GeniVasc

    Work done via induced charges in a grounded conductor

    I'm currently studying Method of Images in Griffiths book and in section 3.2 he introduces the method of images for a point charge at a distance ##d## from a grounded conducting plane at potential ##V = 0##. In subsection 3.2.3, Griffiths compute the energy of the real system and the image...
  13. Mimi3616

    Changes in Work done with changes in the centre of mass of a tool

    Work done if centre of mass is away from us will be less. But how? Or should we consider torque?
  14. stphnls

    Crane Lifting a Car -- Find the Work Done

    W= Fd W= 3NX1.20m W= 3.6 J is the work done by the crane W=Fd W=0.6Nx1.20m W=0.72 J is the work done by the car I have no idea how to solve the c, I am thinking at first that the work done by the crane and the car are zero because cos 90 is zero and there are perpendicular to each other. I...
  15. J

    Understanding Tension in a Physics Scenario

    Confused on how to find tension in rope (this would be the force acting on mass 2 that is causing work). Fnet wouldn't be 0 since the speed isn't constant and no acceleration is given. I'm sure I'm suppose to use the masses in an equation somehow, but I'm not sure how. It makes sense that the...
  16. A

    The work done by Thermodynamic processes

    Hi gentlemen I want to know the classification of thermodynamic processes according to which is higher than which in work done during either compression or expansion. Thermodynamic processes like isentropic and isobaric. Thanks
  17. SQUB

    Work function of electrons in a metal

    Hi everyone, I have to solve this homework without having any books where to find the theroical topic or examples, so if you could help me find materials that I can use to understand or you want to try help me understand how to get the solution would be very helpfull. I don't have enough time to...
  18. A

    Rotational Work versus Linear Work

    In the link below, there is a force tangent to a wheel that travels distance Ds. There is also a torque that moved thru an angle. Why do they consider them equal? There are two works, shouldn't they be added together...
  19. A

    COVID Precisely how does Pfizer's Covid-19 mRNA vaccine work?

    I have some questions about how the Pfizer mRNA vaccine BNT162b2 (BTN for short) works. BTN codes for the SARS Covid-2 spike protein RNA sequence and is somehow delivered into cells, transcribed and then the proteins are delivered to the outer cell membrane or maybe just protrudes through...
  20. LCSphysicist

    Thermodynamics: work done on the atmosphere by an expanding gas

    V = V(n,P) PV = nc dV = (-cn/P²)dP + (c/P)dn dW = (cn/P)dP - (c)dn This was how i tried to attack the problem, but it will end with log and probably it is wrong, any tips to fix it?
  21. F

    Springs, how they work, their coiled structure

    Hello! Springs are amazing devices: we take a straight piece of metal wire, we change its shape and get something that can compress or extended a finite length. We could not do that with the straight wire (too difficult to move atoms apart or close to each other in a significant way). Why does...
  22. E

    Electrolysis of Water: How Does the Electric Field Affect Covalent Bonds?

    What does break bounds in CuSO4? Is it just charge of the electrons in the left electrode? And why does the right electrode getting a positive charge?
  23. L

    Engineering How does complex multiplication work?

    is this right Q) Determine this voltage in its simplest complex number form. v = (2xj6)(3-j8) 2x3=6 2x-j8=-16 j6x3=j18 j6x-j8=-j48 v=6 +(j18-j16) - J(^2)48 (j^2 = -1) v=6 +j2 +48 V=54 + j2
  24. P

    I Tell me how scientific journals scrutinize statistical work

    I have been reading statistics for a while (I am a physics major but also a stat-enthusiast), and one of the topics that drew my attention was the misrepresentation, or to be precise, misinterpretation of the data. This came up while reading about Simpson's paradox and the likes. When I see...
  25. F

    How does a Western free reed work? (musical instruments)

    In this post, I will describe, as best I have been able to determine, how a Western free reed works. As it is unlikely I will run into a physicist here who specializes in reeds, I will just ask people to speculate on the behavior of a reed given what you know about fluid dynamics or the...
  26. B

    Homework: Calculate the work done to accelrate a car

    Homework Equations Conservation of energy. Kinetic energy=(1/2)mv^2 The Attempt at a solution m=1.5*10^3kg, final velocity=25m/s, initial velocity= 11m/s, distance=0.20 and work done=? What do I do next.
  27. Ygggdrasil

    RIP Mario Molina, Nobel Laureate for work on ozone layer

    https://www.reuters.com/article/us-mexico-molina/mexican-nobel-laureate-molina-ozone-layer-prophet-dies-at-77-idUSKBN26T03Q Molina shared the 1995 Nobel Prize in Chemistry with Paul Crutzen and F Sherwood Rowland "for their work in atmospheric chemistry, particularly concerning the formation...
  28. bob012345

    How Does a Thermos Bottle Work?

    Given a standard thermos bottle containing a hot liquid, it is easy to see how the vacuum layer stops heat flow by conduction but what about heat radiating by the Stephan Boltzmann law? How does it mitigate that or is that a minor component of the overall heat loss? Is there a special surface...
  29. S

    Vacuum Airships - would multi-skinning work?

    Vacuum airships are a scifi idea where you evacuate the air out of a chamber to achieve lighter-than-air lift. I put this in scifi as it's just a curiosity at the moment. The issue faced with these designs is the chamber buckling with the pressure of the atmosphere around it, which puts pay to...
  30. F

    Exactly how do pressure waves work at the molecular level?

    I've searched high and low for an answer to my question and I can't find a thing. Let's say I blow into the end of a tube. The opposite end is connected to a reed; when the air hits the reed, the reed vibrates and I can hear a sound. The harder I blow, the louder the reed sounds. I've tested...
  31. T

    Work Done on an object by 3 Forces (Very Confused)

    Here's a diagram of the object My Question: My friend and I were solving this problem. We both found Fxnet and Fynet. However to find work I did W= Fnet*d whereas he did W= Fxnet* d. He claims that since it's sliding on the floor it can only go in the x-direction, and it can't go in the...
  32. derpydashie6167

    Minimum work needed to climb to the top of a peak

    f=ma=71.5*9.8 = 700.7 I know this is not right because he is also going up against gravity but I don't know what else to use for acceleration. I don't know the angle but I assume it is a 90 degree cliff. w = (Fcos90)1380 = 0. But zero is not the correct answer.
  33. R

    Curious about how you've seen research work out

    Something I've seen in nuclear materials research is that all of them are basically, I have a material, I am going to shoot energetic particles at it, I am going to record the numbers, take some before and after pictures and talk about what I saw. It does make sense that you would research like...
  34. AN630078

    Photoelectric Effect Graph and Work Function Questions

    1. a)I have plotted the graph on desmos and attached an image here. b i. The threshold frequency is equal to the x-intercept ~ 5.6*10^14 Hz ii. The work function is equal to the y-intercept ~ -3.75*10^19 J (would it be correct to state that this value is negative?) c. Convert to eV; 3.75*10^19...
  35. zstraught

    Question about work and finding the force of friction

    I drew a force diagram, Normal force up, weight down, force of friction to the left, and Force applied 20 degrees above the positive x axis. I need clarification to find the force of Friction for part B. Should I set Force of friction equal to mu · normal force or should I use Newton's second...
  36. M

    Specific work done by an adiabatic & reversible compressor on air

    Hi, A quick question on a conundrum I seem to have encountered. My main question is: why is it wrong to use the formula above instead of the SFEE approach? My approach: Use the formula: $$ w = \frac{R}{1-n} (T_2 - T_1) $$ From the data book, ## R = 0.287 ## kJ/kg K and ## n = \gamma = 1.4 ##...
  37. Stephen Bulking

    Can the Electric Field Outside a Conductor Have a Tangential Component?

    Here I am going to include the proof provided by my book. It is quite a splendid explanation, though there are a few key points I have yet to fully understand. If the electric force by the electric field on the charge at the surface of the conductor is conservative (which it is), then why is...
  38. N

    How many hours do employees actually work?

    Most companies specify full-time jobs as working 8 hours per day, or 40 hours per week. Some of these jobs have strict time schedule like between 9-5, others have a more flexible time. My question is more about the jobs with flexible time, since these jobs allow you to stay in the office for as...
  39. Hamiltonian

    Work done by a conservative force using change in potential energy

    we know ##W_g = -\Delta U## but here to find ##\Delta U## we will need another equation won't it be wrong to write $$-\Delta U = -\int_1^{0.8}mgdy$$ as this equation is derived from ##W_g = -\Delta U## and as we have 2 unknowns we will need two equations. this is a rather easy problem but I am...
  40. A

    Is that field conservative? If yes, why is the work not null?

    my problem is the following: this vector field is conservative ( i checked the partial derivative) means the work around a closed path must be zero!√but still the solution says otherwise: any hints? explanation? thanks a lot!
  41. Y

    Does creating fire break lines work to control forest fires?

    I really don't want to get into politics, I am sick and tired of smelling and breathing the smoke from the forest fire in N Calif even I am living in the silicon valley. Trump said because Calif refuse to clear fire break lines, clear the debriefs, then once the fire started, there is no break...
  42. Jy158654

    How does the negative feedback amplifier below work?

    The book says that " The op-amp multiplies the potential difference between V+ and V- by the open-loop voltage gain to produce Vout." So my first question is, since we say we assume open-loop voltage gain is infinite, so does that mean the Vout produce will be infinite too? Then, the book says...
  43. Hamiltonian

    Work done by irreversible and reversible processes

    I am not able to follow the derivation of work done in a reversible and irreversible process as I don't get why the work done should be different in the two processes. a reversible process is said to be a process that occurs infinitesimally slowly and an irreversible process goes from initial to...
  44. dejan95

    Help with designing a tool to hold a work piece (work piece jig)

    I have just started my first job (mechanical engineering design) after graduation. As my first "big" project I need to design a work station. On this station i need to create a tool which will hold my work piece (a motor) in place. I would love to hear your insight. Because the bottom part of...
  45. Hamiltonian

    First law of thermodynamics and the work done on a system

    The first law of thermodynamics states that the change in the internal energy of a system equals the net heat transfer into the system minus the net work done by the system. In equation form, the first law of thermodynamics is ΔU = Q − W. in the mathematical expression of the first law of...
  46. E

    How Does Gravitational Compression Generate Heat in Protostars?

    When I did this the first time I didn't really think too much about it, so I just wrote$$p = \frac{nRT}{V} \implies W = \Delta U - Q = - Q = -\int_{\frac{4}{3}\pi r_0^3}^{\frac{4}{3}\pi r^3} \frac{nRT}{V} dV$$That turned out to be correct, but when I thought about it I didn't understand why this...
  47. M

    Can anyone please check my work and answer for this math problem?

    Can anyone please confirm and check my work with answer because I'm not 100% sure if my work with answer is 100% correct. The question is asking if the given vector is an eigenvector and I've answered no. What's the correct answer for this problem? It's Yes or No?
  48. K

    How does an LPG tank gauge work?

    Hi I have read that the propane gas tank gauges that rely on pressure are useless because as you use the tank part of the liquid propane turns to gas raising the pressure again inside the tank. What id like to know is then how do these gauges work? And also I would like more detail on how...
  49. E

    Work & energy VS conservation of angular momentum

    Summary:: Would energy method give us a different answer from conservation of angular momentum? Hello, I do not know how to type equations here. So, I typed my question in Word and attached it here. Please see photos. Note: This question is not a homework. I did not find it in textbooks or...
  50. M

    Engineering How do short/open-circuit tests work for step-up transformers?

    Hi, Question: I think my misunderstanding boils down to a few short questions: 1) Is the equivalent circuit for a transformer of the same topology for a step-up and step-down transformer? I think it should be as the turns ratio is simply a constant. 2) How do the open/short-circuit tests work...
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