What is Work: Definition and 1000 Discussions

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.

View More On Wikipedia.org
  1. YouAreAwesome

    B Does time dilation work in 1d space?

    Imagine this question in 2 dimensions, time (t) and distance (x), that is (t,x). Alice (A) is at the origin, x=0. Bob (B) begins at x=c. Thus we have A(0,0) and B(0,c). Both Alice and Bob send a light signal towards the other but let's say the signal changes colour every second by the colours of...
  2. H

    Troubleshooting 3D Vector Work: Solving Angle and Displacement Confusion

    I'm having trouble finding the angle and displacement
  3. cookiemnstr510510

    Sign conventions for work done by/on a system

    I am a bit confused on the definition/convention of work. In some books I see statements that say : "If work is done on the system, its sign is positive. If work is done by the system, its sign is negative." And in other books I see things like: "By convention, work is regarded as positive...
  4. F

    Work done on a moving square wire loop in a B-field

    There’s a current i in the loop in the figure. The Ampere’s force iLB on a wire of length L exerts on charges in the wire but it does no work on the charges. The charges would go in circular motion if there were no wire. Then the wire exerts exactly iLB on those charges to keep the charges...
  5. kyphysics

    If My Water Heater Doesn't Work, Is Water Still Safe to Drink (if Cold)?

    My water heater has an issue. I still get cold water, but is that safe to drink if the water heater is not working? Thanks!
  6. Nexus99

    Understanding Work Calculation in an Engine: External vs. Internal Forces

    I'm really struggling with this problem. I can't understand which are the forces that i need to calculate work. Probabily when the sand falls the force of which i need to calculate work is weight force, but which is the force that carries the sand at the top of the roller?
  7. E

    How does Sherwood's rotational work equation differ?

    Near the end of this paper, Sherwood presents a rotational analogue of the centre of mass work equation. The derivation is as follows (##\tau_{i, \text{CM}}## is the torque of the ith force about the centre of mass): $$\sum_i \tau_{i, \text{CM}} = I_{\text{CM}} \alpha$$ $$\int \left( \sum_i...
  8. jaumzaum

    How Does Magnetic Force Affect a Falling Coil's Velocity and Kinetic Energy?

    Consider a coil perpendicular to the ground falling with gravity. Under it, there is a magnetic field also perpendicular to the coil. When the coil starts penetrating the magnetic field there will be an induced current and therefore a magnetic force upwards. This magnetic force will reduce...
  9. J

    Calculation of the forces and the work of these forces

    Like AT asked I post a new thread because it is a different example, here there is no friction and I use a needle and an elastic to have the forces. The circle moves in horizontal translation, the circle doesn't rotate around itself, the red wall rotates around A0, and A0 is fixed to the...
  10. KC374

    Work Done by an Induced Electric Field

    I have drawn a picture of what the induced electric field will look like, and I have determined its magnitude both within and outside of the magnetic field. I was able to get the right answer for part (b) with this information, but I don't understand why the answer for part (c) is 0 J. It...
  11. E

    A peculiar definition of work on Wikipedia

    I came across this here: Is this incorrect? If we setup any coordinate system and take torques about that coordinate system, then I would have thought we say the work done in that frame is $$W = \int_{C} \vec{F} \cdot d\vec{r} = \int_{C} \vec{\tau} \cdot d\vec{\theta} \quad \left( = \int_{C}...
  12. E

    Does a general rotational analogue of CoM work exist?

    For a general body, there exists the notion of centre of mass work; that is, computing the work done if all of the forces on the body act through the centre of mass. If we separate the total kinetic energy into that of the CM and that relative to the CM, ##T = T_{CM} + T*##, we can show by...
  13. M

    Work done by pushing a proton into the sphere with non-uniform charge

    I have already calculated full charge inside the sphere: e = ∫ρ dV = 2πBr^2 And I know that electric potential on the edge of the sphere is: U = e/ 4πεr The idea is that I calculate work by the change of electric potential energy, but to do that, I have to calculate electric potential energy in...
  14. A

    Gas - cylinder - piston problem

    Summary:: Seeking explanation to classical gas - cylinder - piston problem, not the solution. Problem 1.15 from 7th edition of Introduction to Chemical Engineering Thermodynamics by Smith, Van nes and Abbot) Classical problem, given: - gas in a confined cylinder - piston with weight is placed...
  15. P

    Calculation of the amount of work done using potentials

    This is the diagram in mind Some of my assumptions like the particle q will be moving with some initial velocity V1 in the circle of radius of r1 and when it moves to the circle of radius r2 its velocity will be V2 ( > V1) since its potential energy is decreased. The amount of work done by...
  16. E

    A single external force doing work on a system of particles

    Suppose we have a system of particles being acted upon by a single external force ##\mathbf{F}^{e}##. Each individual particle feels a force of ##\mathbf{f}_i = \mathbf{f}_{i}^{int} + \mathbf{f}_{i}^{e}## such that ##\sum_i \mathbf{f}_{i}^{e} = \mathbf{F}^{e}##, and ##\mathbf{f}_{i}^{int}## are...
  17. E

    The work done by gravity on a ball thrown vertically upward

    It was just a conceptional question. I thought that the positive work is done while it arises and negative work is done while it falls. For the effect of air resistance, the work done on each case would be less than the work done in absence of air resistance. Is there any other things that I can...
  18. AntonSatek

    How do you arrange your work day?

    Please, comment on how you usually take notes, plan your work day, what software you use for that.
  19. F

    Thermodynamic equation of differentials (and how to work with them)

    Disclaimer: I am not a mathematician, I am a physicist. The thermodynamic identity is usually expressed in the following differential form $$ dU = TdS - PdV + \mu dN, $$ where U , T , S , P , V , \mu and N are the internal energy, temperature, entropy, pressure, volume, chemical...
  20. C

    Creating a Robotic Parrot: Could This Work?

    So, I want to make a robot parrot. I would like the parrot to be able to open and close their wings. I had a couple of ideas for the wings, one of which I'm not sure would work. Could this idea work? If so, how much torque would the motor/gearbox need and how would that be found? If it doesn't...
  21. mastermechanic

    Matlab Appdesigner save('xxx.mat') command won't work

    At the start up section I initialize a matrix like: EL = [ ]; save('EL.mat',"EL"); -------------------------------------------------- This part is okay it creates and saves an empty matrix. But later, when a button pushed it should record the values of the edit box like: (This is the...
  22. Rongeet Banerjee

    Why does my textbook say the KE acquired by an object is m to the power zero?

    Initial velocity u=0 Let Final velocity be v Then, KE acquired by the object=1/2mv² So the answer must be option1 i.e. m¹ But my textbook says the answer is- m to the power zero.Please explain this discrepancy.
  23. SamRoss

    Do mathematicians still work on proofs by hand?

    With automated theorem proving, what is left for mathematicians other than perhaps inputting weird axioms? Or are the machines not as sophisticated yet as I'm assuming they are?
  24. V

    How does virus infection work?

    What is the probability that a healthy person with fully functional immunity will become infected when he receives a tiny amount of some (flu kind) virus on a) hands, b) eyes, c) lungs? I don't know how to define a small dose of a virus, but I guess if only one virus gets in my lungs, my immune...
  25. E

    How do I calculate work in two-dimensions and find the final velocity and time?

    I'm not sure that does the given distance represent "x" direction? If so, I did... a) Fx = 80N * cos(35°) = 65.53N W = F*Δx = 65.53N * (15m) = 982.98 J b) k = 982.98 J = 1/2 (m)(v2) v = (√2k/m) = 6.6 m/s c) vf = vi + at a = F/m = 1.46 m/s2 t = (vf-vi)/a = 4.54 sec...
  26. E

    What is the formula for finding work in two dimensions?

    Since we don't know how far does it move in y-axis, I assumed that only x-component does work. a) W=Fx*Δx = 50N*(-6m) = -300 J b) Θ = arctan(12/50) = 13.5° But, I'm not sure that did I do this in right way...h
  27. S

    Work done against gravity with reducing gravity......

    To do this I'm given a graph showing gravity reducing non-linearly from 3.7 N/kg at the surface to 0.7 N/kg at 8 x 10^6m. I believe that the equation for a fixed gravitaional pull is E = M x G x H - however with changing gravity as the object rises - how do you calculate this?
  28. new90

    Virtual work in a pulley system

    If 1kg make a displacement of 1unit upward then A make a 1/2unit down because 1/sin 30.after that i have no idea what do I will really need help. Thanks!
  29. brotherbobby

    Work done on a conical pendulum

    The diagram for the problem is shown alongside. In the vertical (##\hat z##) direction we have ##T \cos \theta = mg##. In the plane of the pendulum, if we take the pendulum bob at the left extreme end as shown in the diagram, we have ##T \sin \theta = \frac{mv^2}{r}## (the ##\hat x## axis of...
  30. E

    Is conservation of energy derived from the work energy theorem?

    To my mind, there are two distinct approaches to energy problems that different authors tend to use, and I wondered whether either is more fundamental than the other. The first is variations on the work energy theorem, and the second consists of defining a system boundary and setting the change...
  31. dRic2

    Work associated with polarization and magnetization

    Hi, this is not an exercise. In some lecture notes the authors states that from elementary EM I should familiar with the fact that the work associated with polarization and magnetization of a material is given by ##\delta W = E dP## and ##\delta W = BdM##. I have to admit that I am super rusty...
  32. E

    Calculating System Work and Displacement of Center of Mass

    <work done a system> a) w=5N*(0.4m)=2J I think this is right, but b) center of mass initial = ((0.5kg)(0.05m)+0.5kg(0.65m))/1kg = 0.35m center of mass final = ((0.5kg)(0.45m)+0.5kg(0.4+0.1+0.3+0.25))/1kg = 0.75m I'm not sure for this one... How can I calculate the displacement of the...
  33. L

    B How does the double slit experimental apparatus actually work?

    So when explaining the results of quantum double slit experiments that have evolved from the classical wave double slit experiment, popular lecturers of quantum mechanics often show an animation of an electron gun or photon source shooting a lot of particles towards a double slit. The effect is...
  34. J

    Calculate work, frequency and Plank's constant

    i. the threshold frequency; 3.9x10^14hz? it appears the line intersects at 3.9ii. the work function of the surface; 6.626x10^-34x3.9x10^14= 2.58414 × 10^-19J iii. Planck's constant unsure
  35. A

    Confusing the Two Sections: How Does Magnetism Work?

    I noticed that I posted this question on the wrong section previously by accident and I don't know how to delete it... Sorry for confusing the two sections====== Given: - A sticks to B - B doesn't stick to C My solution: As A sticks to B, one must be a magnet and the other iron. As B doesn't...
  36. V

    A How to work with expanded functions?

    I solve problem where I use functions which are expanded upto some order. I multiply them, make square root and make derivatives or solve differential equations. What is the right way to deal with such problem? Shall I expand all functions after every step or work with unexpanded functions and...
  37. wolram

    B How does emergent spacetime work?

    How can space time emerge from nothing, I mean nothing in the absolute case is voide of any thing, I can imagine the BB where there is a primordial plasma the expands and creates the matter and space, but space time from nothing is beyond me, me being stupid and uneducated.
  38. K

    A mother carries her baby from room to room -- Is this scientific work?

    I am thinking no for the first question because the mother is not applying a horizontal force to cause the baby to move horizontally. Maybe yes for #2? Please help
  39. R

    Work Done By a Spring's Restoring Force

    Hello all. Right now I am taking physics 1 and were doing the Work-Kinetic Energy Chapter. I was just reading the derivation for the work done by a spring's force. I understand how to get the result but what i don't understand what to make of it. I understand that because a spring's force...
  40. T

    Can I Combine X and Y Components in the Work Equation?

    I don't know how to combine the x,y components with the equation of work.
  41. I

    Why are 2/3 of my brake lights required to work by law?

    In my State, the statute says 2 of 3 brake lights required. How is one brake light any brighter than 3 or 4? Is my perception of reality flawed? & though I say it is just as bright, when asked to give a reason why, I can not produce any answer. Is it because it is simply “there” or is it...
  42. B

    What is the work function of a metal?

    Question: I have tried this and got work function to e 5.1eV My concern is that for these type of questions, do I need to take into account the signs of some values; such as the negative sign for the charge of an electron? Or could I just take the magnitude for all the values Any help...
  43. Kaushik

    Math: Work Scenarios - My Take on it

    My take on it: I used ##W = Rt## where ##W## is work done, ##R## is rate and t is the time taken let ##W = 1## and ##t## be the time taken by lambert. for Lambert: ##1 = R(t)## ##R = \frac{1}{t}## ... (1) for Stassen: ##1 = \frac{r}{(3t/2)}## ##r = \frac{2}{(3t)}##...(2) from (1) and (2), ## R'...
  44. Quantum Alchemy

    I What exactly is a measurement device and how does it work?

    What exactly is a measurement device and how does it carry out a measurement? For instance, in the double slit experiment, you always hear about particle/wave duality. When it's not being measured it behaves like a wave but when a measuring device is placed by the slits, it behaves like a...
  45. vis viva

    Work Done, by what on what? [electrical/mechanical]

    I have been reading older posts containing "work done", but they don't seem to answer my doubts, or maybe I don't understand the answers because I need some visual pedagogical aids. I can sort of take the concept in, when we are dealing with a charge in an electric field, but when it comes to...
  46. J

    Work, Power and Energy assignment marked wrong somehow? :(

    All of my working out is attached with the photos, I'm struggling to do anymore as the tutor hasn't explained anything like this yet. Any help would be much appreciated
Back
Top