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.

View More On Wikipedia.org
  1. R

    Projectile Motion : Work and Energy

    The problem is based on a projectile-spring launcher. A ball is loaded into a tube that pushes back a spring and is then launched. The ball was launched straight horizontally not at an angle. I'm trying to find the work done on the ball by the spring. The info I have: Displacement of spring =...
  2. n3pix

    A question about potential energy and work

    Hello, I'm confusing about the basic terms about Conservation of Energy, Potential Energy and Work. Consider that we have a mass ##M## above the ground (zero point) distance of ##y_{0}=h##. When we release the mass it will accelerate through it's way to ground. So the work is made by a field...
  3. brawler234

    Understanding Work Calculations: Clarifying the Role of Forces and Intuition

    A box is moving at a constant velocity. 250N of applied force is acting on a box while 250N of friction is acting on it on the opposite direction. If the box travels 4 meters in the same direction as the applied force, how much work is done? I know that work = force * displacement. Is the...
  4. brawler234

    How to define "energy" and "work" without using either word

    I understand that work is done when (a) a force displaces an object, (b) energy is converted from one form to another, (c) heat is transferred between a system and its surroundings, yet I have trouble giving a precise definition for it. Everywhere I go, the definition of energy is "the ability...
  5. T

    Who Does the Work When a Ball is Kicked: The Player or the Ball?

    if I shoot the football, the ball will recive a force in specific direction, and it would follow that direction. Does the work is done by me when I shooted the ball, or the ball does work when it moves all the period after my shooting ? the work includes force and displacement , so who does the...
  6. Kaushik

    How does a buffer actually work?

    Buffer is a solution of weak acid and its conjugate base which resists the change in pH when strong acid/base is added to the solution. But how does it work? Consider, HA + H2O ⇄ H3O+ + A- When we add strong acid, the H+ from the strong acid reacts with the conjugate base A- to for HA...
  7. R

    Work done pushing a refrigerator up an Incline

    My teacher told me that answers are F=1200 N for lifting straight up and F= 360 N for using the ramp. I can get the force for lifting straight up by using 1800=F(1.5)cos(0) but I do not understand why for using the ramp the equation 1800 = F(1.5)cos(72.5) does not produce the correct answer.
  8. jisbon

    Calculating the work done in a PV diagram

    So I've been digging this problem for quite some time, and still can't figure out a way to obtain work done in AB. I do understand that work done in AB = area under the graph. However, I can't figure out how to obtain the volume at B. I can't use PV=nRT since I am unable to obtain the...
  9. A

    How can we say we do work in walking up stairs or similar?

    I see physics problems asking one to calculate the work done in climbing stairs. However, isn't the system the person, and isn't the person not having any external work done? Then how can we say they did work? Now I know when climbing or raising an object, work=mgh=potential energy. But if the...
  10. A

    Power delivered/Internal work done by a car's engine

    Attached is an example from my Tipler physics book of a determining the power delivered from a cars engine. I get the derivation(math), but am having some issues with the understanding/concept. Mainly, isn't Power=Work done/time. If so, they define the system as Car-earth. There is no external...
  11. Stephen Miller

    Engineering Initially evacuated chamber and maximum theoretical work

    Given: V_1 = 10 L, V_2 = 22 L Not sure what I need to do here. We are told to ignore heat transfer, and the problem suggests that this is not a steady-state problem. The gage pressure is given, so I think that means we need to calculate for the absolute pressure, which would be 997 kPa. Cp and...
  12. C

    Carbon sequestration, how does it work? Is it practical?

    Hi All, I understand carbon sequestration in the simplest sense is capturing and storing carbon. As seen in the title, I'm going to split this into two sections. i) How does it work? I imagine that trees, in a sense are doing this. They take in the carbon from our atmosphere and is stored...
  13. B

    Is it possible to pull a wagon without wheels?

    Fa = Force applied on the cart by the parent Fax = x component For the force applied on the cart by the parent Fay = y component For the force applied on the cart by the parent Ff = force of friction The method I thought to use was to solve for Facos, Fasin and then use pythagorean's theorem to...
  14. binbagsss

    LaTeX LaTeX - using the amsmath package doesn't work

    I downloaded the amsmath package and am using the command \usepackage{amsmath} and its not working. I have used it a few years ago, but can't remember whether I had this problem and what the solution was- I think it's something as simple as saving it in the right place if I recall quickly -...
  15. Kermit_the_Phrog

    Work in tightening a nut, given max torque and friction torque?

    NOTE: THIS IS THE GRAPH PROVIDED At first I approached this problem attempting to solve for the total work done, using the formula Wtotal = Wmaxforce - Wfriction I then subbed into the formula, representing the values of work as their torque value times theta, which gave me a longer algebraic...
  16. X

    Springs, Hooke's Law, Work, and Energy

    The formulas we have been given include Potential energy=mgh, Stored strain energy=(1/2)K(change in X)^2, , Kinetic energy=(1/2)mV^2, Work=F(change in d), Force=K(change in X). Not sure how exactly to answer the question.
  17. E

    How can a reaction force do work on someone who is jumping?

    Let R_{1} be the reaction force on the jumper from the ground. Assuming this is larger than the combined mass of the 3 sections of human, if we consider the entire system we will get an upward acceleration (a is labelled as the acceleration of the COM; it will of course vary from the bottom to...
  18. J

    Understanding the Working Principle of PLL: Block Diagram & Applications

    From reference: https://www.elprocus.com/phase-locked-loop-operating-principle-and-applications/ It says that the PD produces an output that is DC level proportional to (Fi - Fo) (I think it has typo. It should be '-' but they've printed '+'). Then the low pass filter removes the high...
  19. Boltzman Oscillation

    Can Ohm's Law Be Defied with Independent Power Sources?

    In my study of electrical engineering I have been told that the voltage across a resistance is V = IR. If I connect a resistor R and a power supply of 5V 2 A then how does ohms law work here? I could change R to anything I want but the source would stay at 5 V and 2 amps regardless of what I do...
  20. E

    Does the spring force do work on the spring itself?

    Consider a spring with one end attached to a wall and the other to a free mass, which is then stretched so some potential energy U. After it has been released and has de-stretched, the change of elastic potential energy is -U which equates to the negative of the work done by the spring force on...
  21. P

    Work-Energy Theorem: Is Lifting a Rigid Body Really 0 Work?

    I read on the Internet that the work done by a (rigid) body = the change in Kinetic energy. What if I lift a rigid body slowly and vertically by 1 meter above the Earth's surface so that the initial velocity = final velocity =0? According to the Work Energy theorem as stated on many sites on...
  22. H

    Need stress value of aluminium for project work

    Summary: I am not a physics student but I really need to prove that aluminium will not deform 10m underwater Hi I am doing a project of a product which will sink underwater. It will be a sealed cylindrical vessel, length 2m, width 1m, thickness 0.02m. Aluminium 6061t will be used with a yield...
  23. X

    Types of fusion reactors and how they work?

    At the early 20th century, people can only achieve fusion by smashing atoms together via particle accelerators. That obviously outputs much less energy than input, and takes forever just to fuse a single gram of hydrogen to helium. Currently, speaking of thermonuclear reactors we always think of...
  24. markzboyce

    Can this machine produce more work than consumed?

    [Mentors’ note: Elaborate explanation of unworkable perpetual motion machine removed]
  25. A

    Work and energy of an object on a ice slope

    Homework Statement: A perfect hemisphere of frictionless ice has radius R=7 meters. Sitting on the top of the ice, motionless, is a box of mass m=7 kg. The box starts to slide to the right, down the sloping surface of the ice. After it has moved by an angle 11 degrees from the top, how much...
  26. A

    Work of a object moving across surfaces with different friction

    Homework Statement: Hetsut is the foreman of a construction project in ancient Egypt. He needs to move a giant block of stone, of mass 12 metric tons, from the docks to the temple grounds. He can go along the roads by traveling 295 meters east, then 89 meters north. Along the roads, the...
  27. A

    Work of gravity on an object sliding down a frictionless sphere

    Homework Statement: A perfect hemisphere of frictionless ice has radius R=6.5 meters. Sitting on the top of the ice, motionless, is a box of mass m=6 kg. The box starts to slide to the right, down the sloping surface of the ice. After it has moved by an angle 20 degrees from the top, how much...
  28. A

    Total work of a directional wind on a mailman

    Homework Statement: Mike the Mailman takes his oath seriously: "Neither snow, nor rain, nor heat, nor gloom of night stays these courageous couriers from the swift completion of their appointed rounds". Even though a blizzard is raging outside, he goes out to deliver the mail. He makes four...
  29. SLTH02

    Work required to attach the bowstring to the bow?

    E final = (1/2)(500)(1.14012)^2 = 324.968 J E initial = (1/2)(500)(0.5)^2 = 62.5 J E final - E initial = 262.468 J
  30. sully21

    Courses What is it like to work as an Astrophysicist or an Aerospace Engineer?

    Hi all. I'm currently an aerospace engineering undergraduate student in my second year, but I'm going through a very confusing process of second guessings and would greatly appreciate advice from older people who work in the Aerospace or in the Physics/Astronomy fields to help me compare the...
  31. noodlesnoah

    Would my turning mechanism for my robot work?

    I am making a robot and was wondering if this mechanism will work to turn my robot. Below is a small diagram of my robot. The main wheels are by the circle and there are a few small not power ones for stablisation in the tail. If I rotated the part pointed to in the tail or just the tail would...
  32. weilam06

    Work done by an electric motor to drive elevator

    https://www.physicsforums.com/attachments/250022 For the part (a), set the tension of the string that pulls the elevator be ##T_1## and the tension that pushes the counterweight be ##T_2##. Then we have the following equations: $$T_1−1200g=1200 \cdot 1.5$$ $$1000g−T_2=1000 \cdot (−1.5)$$ where...
  33. E

    Can't work out integral in polar coordinates

    I considered the work done by the frictional force in an infinitesimal angular displacement: $$dW = Frd\theta = (kr\omega) rd\theta = kr^{2} \frac{d\theta}{dt} d\theta$$I now tried to integrate this quantity from pi/2 to 0, however couldn't figure out how to do this$$W =...
  34. K

    Minimum work required to move a point charge

    This is the figure for the problem: 1.) Solved for initial total EPE of the system EPE system = (kq2q3/a) + (kq2q1/b) + (kq1q3/√a^2 + b^2) 2.) Solved for final EPE of the system negating q1 as if it were off to infinity EPE system final = (kq2q3/a) 3.) Plugged values into equation W =...
  35. E

    Work done by a tangential force shouldn't be zero

    Applying the dot product to the position vector and force vectors yields the result that the force vector is always at 90 degrees to the position vector, namely that it is directed tangentially. The mark scheme gives the work done as 0, however I don't agree. I believe they got this by finding...
  36. bob012345

    LaTeX LaTeX doesn't work with Safari?

    I'm having no luck at all generating LaTex. I'm using the Safari web browser on an iPad. Example: \frac a b I can see the LaTex formatting on other posts though. Note to observers; I'm practicing LaTeX in this older message. We start...
  37. R

    B Did Ramanujan's work look like crackpottery?

    I happened to come across an old thread, "What counts as crackpottery?" and the above question came to my mind. The story is well known that he developed his results on his own without access to standard mathematical notation, and so when he began corresponding with mathematicians at...
  38. P

    A Theoretical status of the Landauer Principle

    I am interested to understand the current theoretical status of Landauer's Principle and related ideas. I am looking for key papers and results in the subject. I will highlight one key paper. An improved Landauer principle with finite-size corrections Abstract: Landauerʼs principle relates...
  39. Wrichik Basu

    How do SRAM and DRAM differ in terms of circuitry and data storage?

    Summary: How does a cell of SRAM work? I have computer science minor, and we have been given the task of finding out the differences between SRAM and DRAM. Simple enough? I thought so, until I got into the circuitry of a SRAM cell and got interested in finding how it works for storing, reading...
  40. D

    How to properly use a TIP47G transistor as a switch for larger currents?

    has anybody used a tip47g transistor? i can't get it to act as switch for a larger current. i have tried reading the datasheet. the datasheet won't work.
  41. FQVBSina_Jesse

    Question about net work and displacement

    I know that by physics definition if displacement is zero, work is zero. However, if I push an object 5 m to the east, and then move to the other side of the object and push it 5 m back to the west. I think in this case I have always done positive work on the object and hence the total work...
  42. J

    How to find work via Force and Time

    So I can across this question in class and there were a multitude of answers, such as 0 work (J), my answer was 8100J based on the fact it doesn't tell you any distance moved, just that its 45N for 3 minutes, so my logic was 45N per second so 45*3(60)=8100J
  43. P

    A Can Work Be Defined for a Quantum System with a Time-Dependent Hamiltonian?

    I have a Hamiltonian ##H_{\lambda(t)}##, where ##\lambda (t)## characterizes a time dependent path in parameter space. The parameter is changed in finite time from ##\lambda (t_i)## to ##\lambda(t_f)## . At ##t = t_i## the system is in the intial state ##|\Psi>##. What is the work done on the...
  44. H

    Maximum work done by a body in an external medium

    I am reading Landau's Vol 5 on Statistical Physics and have trouble grasping some concepts in Section 20. If I understand this correctly, the body and the medium are in direct contact and can exchange work and heat while the object can only exchange work with the body. So the minimum...
  45. T

    Uncovering the Motivation behind the Principle of Virtual Work

    Hello May I ask: "What is the guiding philosophy of the Principle of Virtual Work?" I do understand it an how to use it, in classical mechanics. (And I will openly admit that I do not entirely understand what I am looking for, or what I am asking.) But what is happening at this moment in...
  46. A

    Help -- I don't understand work

    Work is basically energy applied thru a force to move an object right? Or another way put it is just force thru a displacement, which can be thought of as "energy used" I see definitions saying it is a transfer of energy, not sure why they mean by that
  47. E

    Definite and indefinite integration in the definition of work

    This is going to sound like a silly question, but here we go anyway! I've always thought about a definite integral being used for modelling a change in some quantity whilst an indefinite integral is employed to find the defining function of that quantity. For example, consider the...
  48. PainterGuy

    MATLAB Replacing the "quad" function with "integral" doesn't work in Matlab

    Hi, I was trying to numerically integrate the following inverse Fourier transform integral,, using the code below. The plot is also shown below. The plot looks good which means the result is good as well. By the way, I was getting a warning which I quote below the code. % file name...
  49. adamaero

    Compiles, and motor driver shields work individually--but not together

    I don't have a debugger yet, but my company is getting one... In the mean time, I've been un/commenting out parts of Mbed's code. Their Hello World program is available from this website, and it can be used directly in their online IDE by clicking "Import Program"...
Back
Top