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.

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  1. S

    Is the work done by friction on a moving car's wheel positive or negative?

    The answer key is (b) but in my opinion it should be (d) because I think about work done by friction on wheel of car when the car moves. Let say the car moves to the right, then the wheel will rotate clockwise and the direction of friction acting on the wheel by the road will be to the right and...
  2. George Jones

    Exploring Chris Isham's Work in Theoretical Physics

    An interesting article about theoretical physicist Chris Isham (by Michael Duff) has been posted on the arXiv, https://arxiv.org/abs/2112.13722 Combine this with (from "Group Theory for the Standard Model of Particle Physics and Beyond" by Ken Barnes) Isham has written two books that I quite...
  3. L

    B Work and Friction: How Does Fxv Apply?

    Suppose you're a point on the floor and a block mass slide pass you. The block mass said " I have friction acting on me during my motion so the mechanical power is friction x my speed". When ask the point on the floor, it said "well, I don't have motion so there is no mechanical power". Yet...
  4. resurgance2001

    Chemistry Use standard cell potentials to show that a catalyst can work

    My solution in shown on the attached files. The overall reaction between Mn02 is 0.81 Volts The overall reaction which shows the reformation of the MnO2 catalyst is .27 Volts. The first reaction is more positive which shows that the MnO2 can work as a catalyst.
  5. Trysse

    I Michelson & Morley in Space-Time Diagram: Can't Make it Work

    I have tried to draw a simplified diagram depicting the original Michelson experiment. I am only looking at the paths from the beam splitter to the mirrors at the end of the arms and back, Below, you can see the following: A space-time diagram with two space axes (x andy) and one time axis...
  6. Addez123

    Can't get Lagrange multiplier to work in a single exercise

    So I understand the concept of lagrange multiplier but I fail at every single execise I encounter anyways. Because you always end up with unsolvable equations of x^3yzb3gh + 37y^38x^3 + k^5x = 0 Anways here's my stupid attempt: Instead of doing $$grad(f) + \lambda grad(g) = 0$$ I solve $$...
  7. bluesteels

    Does work = neg or pos change in potential energy?

    u = (9*10^9)(1.61*10^-19)^2 * (1/[3*10^-15 ]- 1/[2*10^-10]) u = 7.68*10^-14 J but here the question. I have been taught that W= -U so shouldn't the answer be negative?? When i look up at the solution all other sources say that the W = U and therefore the answer is in postive.
  8. R

    B Harold White's Warp Drive Research: Casimir Effect Insight?

    This is in reference to https://epjc.epj.org/articles/epjc/abs/2021/07/10052_2021_Article_9484/10052_2021_Article_9484.html in the European Physics Journal. In it it is stated a Casimir effect produced an energy pattern similar to what is needed for an Alcubierre warp field.. Is there substance...
  9. Ced

    Can You Help Solve This Generalized Work Problem with an Illustrative Image?

    Here is an image for better illustration, I only managed to solve for (a) but I'm not sure if I did it right. As for (b) and (c), I have no idea how to do it. My answer for (a): => Ki + Ui + Wext = Kf + Uf => 0+mgh1-LμmgCosΘ = 1/2mv^2 + mgh2 =>1/2v^2 = gh1- gh2 - LμgCosΘ => V = √2g(h1 - h2 -...
  10. kara123

    Finding Friction Force & Work with No Applied Force

    -i had begun by finding the normal force =147 N -then found the force of friction=99.96 N -found the work of friction=-799.68 J after that I am unsure of where to go since I don't have a force applied
  11. lonewolfx

    Engineering Pump work required to reach a maximum reservoir height

    The following image represents the system under analysis: Using a reference point 1 on the surface of the lower reservoir, point 2 at the discharge of the middle reservoir, and point 3 at the discharge of the upper reservoir, and assuming the pressure is equal to atmospheric pressure at all of...
  12. H

    I Can this work as a basis for S?

    Let ##S## be a set of all polynomials of degree equal to or less than ##n## (n is fixed) and ##p(0)=p(1)##. Then, a sample element of ##S## would look like: $$ p(t) = c_0 + c_1t +c_2t^2 + \cdots + c_nt^n $$ Now, to satisfy ##p(0)=p(1)## we must have $$ \sum_{i=1}^{n} c_i =0 $$ What could...
  13. P

    How much grunt work do you do?

    Summary:: How much grunt work do you do? Engineers out there, What percentage of your time would you say qualifies as grunt work? To clarify: Grunt work basically is work where you know exactly what the solution is (the problem is already solved), but you just need to push the motions...
  14. Iwanttolearnphysics

    About Work done when velocity is constant

    Here's where I got the questions: These are from a worksheet I downloaded online: Answer Key The answer key says that the answer to the first question is 500J and for the next question it's 433J. It says constant speed though, so I don't understand why the answers aren't zero. I get how they...
  15. shivajikobardan

    How do for loops work in python?

    str1="hello" for stringElement in str1: print("str1","=",stringElement) Strings are arrays in python and they are represented like this. Now I want to understand how the for loop is working here. My dry run-: for h in str1 print h for e in str1 print e and so on till...
  16. rudransh verma

    B How do mechanical (weighing) scales work?

    I want to understand how the weight machines work that we use in homes and shops. I have been working on force and motion chapter and I was curious how this weight machine actually push up and how it applies force to the feet of the person being weighed? What reading is this that we see in...
  17. NTL2009

    How does the "CLEAN" light on a coffeemaker work?

    My Cuisinart drip coffee maker has a light that comes on, telling you to run it through a cleaning cycle (50/50 mix water/vinegar, rinse). In our previous home, we were on a well of about 750 ppm dissolved solids (including some iron), so I had an RO unit connected after the water softener to...
  18. H

    What is the meaning of work done for non-uniform circular motion?

    This is my solution ,and I just use the definition .But I still feel unclear about the concept of non-conservative force.$$ W = F x = 30N (\frac{1}{2}\pi r ) = 56.2 J $$ $$ E_{system} = \Delta K + \Delta U = W $$ $$ (K_{f}- K(i))+(U(f)-U(i)) = W $$ $$ (\frac{1}{2} *m{V_{f}}^2...
  19. Iwanttolearnphysics

    About work done through exercise (push ups)

    Hello, everyone. I'm not sure if I did this problem right because there's no answer key. I got this question from a high school introductory Physics book. But it's jaded and I accidentally poured coffee on it, so I can't take a picture of the question. I copied it word for word though. This is...
  20. TheBigDig

    Total work done while pushing a wheelchair

    Taking v = 2m/s, u=0m/s and s = 15m, we get ##a=0.13m/s^2## ##F_g = mg = 100(9.8) = 980N## Since there's no vertical acceleration, the normal force is equal to the weight ##N = 980N## ##f = \mu_k N = 0.05(980) = 49N## ##F_{net} = ma = 100(0.13) = 13N## ##F_{app} = F_{net}+f = 62N## My...
  21. Ugnius

    Work done on a magnetic dipole (compass needle rotating)

    So this is a sketch I made of the situation and this is my approach my approach is incorrect , and Idon't seem to find the mistake , maybe B*p isn't correct. Any ideas?
  22. cianfa72

    I About Reversible vs Irreversible Gas Compression and Expansion Work

    Hi, reading the interesting Reversible vs Irreversible Gas Compression and Expansion Work insight by @Chestermiller I would like to ask for clarification on some points. In the second bullet at the beginning my understanding is as follows: consider an ideal gas contained in a cylinder...
  23. Mr.Husky

    Calculus Just got Courant's calculus text -- Need some tips to work through it

    Hi everyone! I just bought the courant John calculus volume-1 from uni bookstore. I need some tips like errors, topics which are not explained well and topics which are really important and need to focus more on etc.. My background:- have Spivak as a supplement. Knows how to prove and read...
  24. dge

    How can I calculate the potential energy stored in a compressed spring?

    I feel like I've gotten stuck on this. I know the work done is equal to the kinetic energy of block A, but I can't figure out how I would find the potential energy stored in the spring without using the spring constant in the equation. W = FA * dA + U
  25. Dario56

    I Work - Energy Principle Application to Fluid Flow

    In classical and continuum mechanics if we want to find equation of motion of the body we draw force diagram and apply Newton's 2nd law. In continuum mechanics, equation of motion actually refers to a special point of the body known as center of mass (COM) which can be proven by definition of...
  26. Twigg

    Why doesn't the tape trick work with scotch tape?

    Mods, I know "General Engineering" hardly describes this question, but it doesn't seem to fit anywhere. Move it where you wish. There's a trick that works with most tape (especially packing tape), where you fold the tape on itself, make a crease, then pull the creased tape apart quickly. The...
  27. Dario56

    I Work - Energy Principle Application to Fluid Flow

    Work - energy principle states that work done by net force acting on the body equals change in kinetic energy of the body. We are talking about continuum mechanics. This principle is usually introduced in mechanics of solid bodies. For us to describe the motion of the body, it is enough to know...
  28. J

    I How does the cooling effect of this "white-est paint" work?

    A new result from Purdue https://www.purdue.edu/newsroom/releases/2021/Q2/the-whitest-paint-is-here-and-its-the-coolest.-literally..html Is about the development of a new paint that is the whitest yet, reflecting 98.1% of solar radiation. That is so much that they claim that it causes a...
  29. A

    Calculating Work, Energy, and Power: Integrating Force and Velocity

    I tried to solve it by integrating force from 0 to L dF=dm.g where dm=λdx And then I multiplied it with velocity to get power because velocity is constant ∫(vdF)=v ∫(dF) But the book used integration to find work done and divided it by time for power My answer was λlgv(Option B) Giving...
  30. M

    Can anyone please check/confirm my work on this proof?

    Please check/confirm my work of this proof and tell me if it's correct or not. Thank you.
  31. docnet

    When you have no idea how to work out a problem

    Homework Statement:: evaluate ##y=\frac{sin{x}}{\text{n}}## at ##n=3## and ##x=3## Relevant Equations:: ##y=\frac{sin{x}}{\text{n}}## ##y=\frac{sinx}{n}## ##y=\frac{si\cancel{n}x}{\cancel{n}}## ##y=six## ##y=6##
  32. Dario56

    I Bernoull's Equation Derivation From Work - Energy Principle

    Work - Energy principle states that work of resultant force or sum of work of all forces acting on some system equals change in kinetic energy of the system. For inviscid fluid flowing in a pipe such theorem can be used to derive Bernoulli's equation because as fluid flows it is subjected to...
  33. Leo Liu

    How does a pulsed plasma thruster work?

    I really can't get my head around the concept of pulsed plasma thruster. All I know now is that it utilizes ##\vec F=q \dot {\vec r}\times \vec B##. Could someone explain the mechanism to me, please? Thanks!
  34. Kairos

    B Gravitons: Relationship to Space-Time & Black Holes

    1) What is the relationship between gravitons and the curvature of space-time? 2) As gravitons move at speed c, the curvature of space-time is not instantaneous either, so how the curvature sets in or disappears gradually (for theoretical example if mass disappears suddenly upon collision of...
  35. Nick Tucker

    Calculating Force and Work for a Penguin Climbing up an Ice Slope

    Got a question from my science exam that I'm not sure how to figure it out. All the context I was given is attached. My attempt: Mass=26kg 26a = Force Work = 26a x 2 Work = 52aNot sure how to figure it out, as 52a is the wrong answer.
  36. M

    Work done on moving a submerged object

    I first worked out the buoyant force using rho = 1000, g = 9.8 and V = 1. (this gives Fb = 9800) I then worked out Fg of the tank (5 x 9.8 = 49) Then I used Fnet = Fb - Fg - T = 0 to work out tension as 9751. I thought the work done would be the work done by tension (9751 x 50.4), but I'm not...
  37. T

    B Comparing two expenditures of work

    Let’s say we have two persons who are going to travel from Central Park in New York to the Golden Gate Bridge in San Francisco. One is going to walk and the other is going to use his skate board. And let’s say they weigh the same and take the exact same route. the question is this...is the...
  38. E

    COVID Examining the Efficacy of Virus Masks: CDC Findings

    Do virus masks have any effect on preventing or reducing risk of infection from CV19? Have there been any studies on this?
  39. S

    Feedback and "Advertisements" do not work

    I am still trying to find somewhere to post to report this problem. If try to visit and post in Feedback, or if I try just to VISIT the "Advertisements" topic there, the only page that loads is this: "Page could not be loaded,... " and I cannot even post the whole page message here because...
  40. M

    External Pressure vs. Internal Pressure when considering work

    Summary:: Basically the title: It seems that one of the formulas I use considers the pressure in PdV to be internal, when as far as I know, it is external. So to my understanding, in w = PdV, the pressure is the external pressure. However, I get tripped up because in my textbook, for a...
  41. Kun-Kun

    Engineering What kind of engineers work in the semiconductor industry?

    What does a MechE/EE/ChemE usually do in this industry? I think that CS/CE works in the software department and architecture. For circuit and stuff, EEs will be working on that. ChemE works on the actual manufacturing of chips. Materials E work in this department too, I think. Am I correct...
  42. K

    A Hamilton's principle and virtual work by constraint forces

    Found a question on another website, I have the exact same question. Please help me Goldstein says : I do not understand how (2.34) shows that the virtual work done by forces of constraint is zero. How does the fact that "the same Hamilton's principle holds for both holonomic and...
  43. R

    B Can anyone help me with my high school paper on vacuum and quantum vacuum?

    So... I've been writing my work about the vacuum and quantum vacuum. Now my problem is that I've come to realize that I can't really bring my thoughts and research onto paper the way I would like it. I am now in 12th grade in high school I know that this is a crazy demand but hear me out: I...
  44. ikihi

    I Power equation using heat instead of work

    So the formula for power is Power = work / time. There's two types of energy transfers: heat and work. How do you calculate the power of something using heat energy in BTU/hr when BTU isn't work?
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