What is Work done: 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. F

    Solving Work Done by Pushing a Lawnmower

    Homework Statement A man pushes a lawnmower with a force of 200N. If the vertical component of this force is 80N how much work is done in pushing the lawnmower 6.0m horizontally? Homework Equations Work=force x distance The Attempt at a Solution Firstly I have to find the angle to the ground...
  2. beamie564

    Work done in moving a charge to infinity

    Homework Statement (Not for homework/assignment. Just doing problems for practice) This is from Griffiths Introduction to Electrodynamics, 4th edition, p.112 Problem 2.60 " A point charge q is at the centre of an uncharged spherical conducting shell of inner radius a and outer radius b...
  3. Monsterboy

    Work done by compressed air on the piston

    Homework Statement A closed cylinder of 0.25 m diameter is fitted with a light friction-less piston.The piston is retained in position by a catch in the cylinder wall and the volume on one side of the piston contains air at a pressure of 750 kN/m2. The volume on the other side of the piston is...
  4. James Ray

    Work done on ideal monatomic gas in adiabatic process

    1. The problem statement, all variables and given/known data Homework Equations [/B] The Attempt at a Solution [/B]
  5. S

    Why work done on a system causes heat to flow out of it?

    I don't understand how compression of a gas causes heat to flow out of the container of that gas... Could someone please help? Thank you in advance!
  6. R

    How to calculate impulse required to move an object vertical

    Homework Statement [/B] Suppose I have a stationary object of mass 'm' and I want to apply a momentary force in the vertical direction so that it just reaches the height 'h'. So how do I calculate the impulse required in this case? Also how do I exactly define the delta(t) for the momentary...
  7. K

    Work done by a 20% efficient heat engine

    I had an exam last week and I just got it back today. On the exam was a question that I got wrong even though his wording was terrible (he's from India) and I feel that it was not clearly expressed what he was saying. The question is: "A heat engine is 20% efficient. If it absorbs 500 J of heat...
  8. N

    Finding work done using definite integrals

    On applying definite integral to find work done, we integrate F.dx and apply lower and upper limits. Should we apply the dot product, before integration , that is -1 for θ = 180, 1 for θ = 0. Or will the limits applied and their values suffice in deciding the sign of the final value. I have...
  9. N

    Electrostatic potential a a point, the pluses and minuses

    On calculating the electrostatic potential at a point due to charge q, by definition, it is the work done to bring a unit positive charge from infinity to that point. Trying to find it mathematically, it should be ∞→R ∫E.dr...
  10. Biker

    Calculating the work done in an electric field

    Homework Statement It is not an actual questions, Just misconceptions For example, Lets find the work done over a distance in an electric field Homework Equations v = PE/q E = F/q F = k q1 q2 /r^2 W = fd The Attempt at a Solution I didn't study calculus yet but I am going to because I need to...
  11. D

    Calculating Work on a Charged Particle in an Electric Field

    Homework Statement A -2.0*10^-3 C charge is 0.2 m away from a -6.0*10^-3 C charge. How much work is must be done on the first charge to move it to a distance of 0.9m? Homework Equations F = qs*qt*k/r^2 W = F * d* cos theta The Attempt at a Solution (-2.0*10^-3)(-6.0*10^-3)(9*10^9)/0.2^2...
  12. I

    Potential Difference Across Capacitor Regions and Work Done

    Homework Statement A parallel plate capacitor of area A and separation d is fully charged so that the charge on the top plate is Q. The battery is disconnected and two dielectric slabs of dielectric constant k are inserted with an air gap between them. Each region takes up one third of the...
  13. B

    Work Done by Theme Park Machine on Rider

    Homework Statement A drop tower lifts riders at a constant speed to a height of 78m and suddenly drops them. Determine the work done on a 56kg rider by the machine as she is lifted to the top of the ride. F=mg displacement=78m θ= 0 degrees Homework Equations W=FΔdcosθ The Attempt at a...
  14. Destroxia

    Work done by Three Dimensional Inverse Square Field

    Homework Statement Find the work done by the three-dimensional inverse-square field ## F(r) = \frac {1} {||r||^3} r ## on a particle that moves along the line segment from P(6, 2, 3) to Q(4,2,4) Homework Equations ## \int_C F \bullet dr = \int_a^b f(h(t), g(t)) \sqrt {(\frac {dx} {dt})^2 +...
  15. Le_Anthony

    Work Done by Crane: Calculating Force & Acceleration

    Homework Statement Had a question on a test went something like this; A crane lifts a 425 kg bar 85m above the ground. The crane is lifting it upwards with an acceleration of 1.8 m/s^2. How much work is done by the crane? Homework Equations W=Fd The Attempt at a Solution Solution 1( the one i...
  16. Le_Anthony

    Calculating Work Done by a Spring

    Homework Statement An ideal spring is hung vertically from the ceiling. When a 2.0 kg mass hangs from it at rest, the spring is extended 0.06 meters from its relaxed state. An upward external force is then applied to the block to move it upward a distance of 0.16 meters. While the block is...
  17. S

    Rotational work done by static friction?

    Homework Statement A disk roll without slipping down a incline plane. Identify the forces acting on the disk, explain qualitatively which of these forces do work. Homework Equations The rotational work is given by W=\int \tau_z d\theta (1) , where \tau_z is the component of the torque...
  18. Blockade

    Can someone explain to me the work equation for springs?

    I need to find the work done with springs but I don't understand this equation too well, can someone help me know what are each variable and how to find each of them? WH - fF*d = ΔK + ΔUs + ΔUg? I know that "WH" is the work done by the hand and that "fF*d" is force of friction * displacement...
  19. T

    Work done using time, velocity and mass?

    Homework Statement The law of conservation of energy applies to the motion of vehicles. Find the work done on a 1200kg vehicle when it slows from 90kmh-1 to 50kmh-1 in 8.0 seconds. Homework Equations W=1/2mv^2 - 1/2mu^2 The Attempt at a Solution [/B] W=0.5*1200*50^2 - 0.5*1200*50^2
  20. toforfiltum

    Why is there no work done on gas from Q to R?

    Homework Statement [/B] Homework Equations U = Q + W The Attempt at a Solution I don't understand why there is no work done on gas from Q to R. I thought that work done on gas = pv? If so, then why there is no work done on gas because there is increase in pressure? So, I tried to find a...
  21. V

    Finding the WORK done by a crane in lifting a load

    Homework Statement A crane lifts its 500N load to the top of the building from A to B. Distances are shown on the diagram. Calculate how much work is done by the crane Known variables: AB= displacement= 50m AC=horizontal distance=30m BC=vertical distance=40m 2. Homework Equations Work...
  22. enh89

    Physics problem involving work on pump

    Homework Statement A conical tank filled with kerosene is buried 4 feet underground. The density of kerosene is 51.2 lbs/ft3. The kerosene is pumped out until the level drops 5 feet. How much work is needed to pump the kerosene to the surface if the variable is given as: A. The distance...
  23. Teameister

    Work done moving charge near a line of charge

    Homework Statement How much work (in J) is required to bring a charge of 2 microC from the point {2*6.8,-7,2*1.1}cm via the point {10,20,1}cm to the point {-3*6.8,3.4,-3*1.1}cm, in a medium with relative permittivity of 3.7, near a line charge along x=6.8 cm, z=1.1 cm, with charge density +329...
  24. B

    Work done by moving charge from one sphere to another?

    Homework Statement Consider two metal spheres, sphere 1 having radius R1 = 20 cm, and sphere 2 having a radius R2 = 10 cm. The two are rather close to one another, separated by a center-to-center distance of only 80 cm. Suppose now that they are connected to each other by a thin wire that is...
  25. Stella.Physics

    Total work/effort/energy spent to climb a hill

    https://scontent.fath3-2.fna.fbcdn.net/hphotos-xtf1/v/t1.0-0/s526x296/12804814_10208727068471849_3639991170291956856_n.jpg?oh=a60b7b49070602e57e99d4dfdf3545dd&oe=57640241 Yesterday my bf asked me to calculate the calories he burns to go up a hill. So of course the first thing I thought was to...
  26. ecoo

    How Do Compression Distances Affect Spring Work Calculations?

    Homework Statement I reference the problem posted here: https://www.physicsforums.com/threads/work-and-spring-problem.194531/ Homework Equations Work = Force * Distance F = kx The Attempt at a Solution Wouldn't the limits of integration in part 2 be from 5 to 9, since x is the compression...
  27. Brandon 456

    What is the Work Done on the Person+Sled System in an Amusement Park Ride?

    Homework Statement An amusement park ride consists of a slide that is sloped an an angle of 30.9 degrees with respect to the vertical with a spring located at the top of the ramp with a spring constant of 186 N/m. A person will sit in a sled on the ramp, and then the spring is compressed by the...
  28. ccarit3007

    What is the work done on a comet orbiting a star?

    If a comet is orbiting a star is there any work done? I understand that work is force * displacement, but the force must be in the direction of motion. In the case of a comet and star the star exerts a gravitational force on the comet, but this force is not in the direction of the motion of the...
  29. H

    Why is there no virtual work done by a rolling friction?

    Why is there no virtual work done by a rolling friction? In pure rolling, is the virtual displacement parallel or perpendicular to the surface? I believe it can't be perpendicular because the object is not allowed to lose contact with the surface. But if it's parallel, then there must be a...
  30. DevonZA

    Calculate the work done when a conductor moves through a mag

    Homework Statement A conductor 7.5m long, is moved at a uniform speed at right angle to its length and to a uniform magnetic field. The density of the magnetic field is 0.64T. The emf generated in the conductor is 36V and the conductor is part of the closed circuit that has a resistance of...
  31. R

    What are some approaches for estimating the work done up to fracture?

    Good day everyone! i have a problem dealing with the fracture analysis. We all know that the work done per unit volume is equal to the area under the curve of stress-strain curve or we can express it in terms of integral form, and if we're looking at necking point stress can be express in this...
  32. x2017

    How Much Work Does the Landing Mat Perform on Yelena Isinbayeva?

    Homework Statement Pole vaulter Yelena Isinbayeva (64.1 kg) is at a point in her vault where the pole is maximally deflected (Δx = 1.63 m). The pole has a bending stiffness of 1091 N/m and behaves according to Hooke's Law. At this point in the vault, her vertical velocity is 3.25 m/s and she is...
  33. x2017

    Work Done on 100 kg Block by 100 N Force in 4s

    Homework Statement A 100 N net force acts on a 100 kg block (initially at rest) for 4s a. How much work was done on the block? (1) b. What is the block’s velocity after the 4 s? (1) c. How much energy does the block have after this time?(1) d. The 100 N net force is no longer acting on the...
  34. E

    Calculating Work Done in Inflating a Square Balloon

    Homework Statement Hi, A question on work done in inflating a square balloon. Homework Equations Work done = integral of p*dv (see below). The Attempt at a Solution I just wanted some pointers on the following. Work done = integral of p*dv. But I don't know if p0 would be taken into...
  35. G

    Work done by a gas in a piston

    Let's assume that weights are placed on a massless piston and below the piston is a gas. If we remove all the weights at once, the work done by the gas should be the difference between the forces exerted by the gas and the atmosphere multiplied by the change in volume. However, we know that the...
  36. J

    Velocity of a point charge from work done

    Homework Statement If a charge of +2 µC and mass 2 g is taken to (0,0,4) in the presence of an electric field due to a ring {R : x2 + y2 = 25,z = 0} of uniform charge density ρL = +3µ C/m, and then released, find the maximum velocity it gains. Given in the problem: You solve the equation 1/2...
  37. J

    Work done by moving a point charge

    Homework Statement [/B] Three point charges each of 4 µC are situated at the three corners of an equilateral triangle of side 4 m. Find the work done in moving one of them to a point mid-way between the other two. Solution: The Potential difference VAB between two points A and B is the work...
  38. M

    Work done by a uniform Ring of Charge (due tomorrow

    Homework Statement A ring of diameter 7.90 cm is fixed in place and carries a charge of 5.20 μC uniformly spread over its circumference. How much work does it take to move a tiny 3.40 μC charged ball of mass 1.50 g from very far away to the center of the ring? Homework Equations V=(KQ)/r^2...
  39. V

    Work done on a stationary bicycle?

    So when someone is simply cycling on a stationary bike, is that person doing any work? Because work is Force * distance. But there's no distance here, right? Is work simply the energy then?
  40. xareu

    Work done by permanent magnets

    I recall that the energy stored in a magnetic field is half the volume integral of the dot product of magnetic field and flux density vectors (H and B). When you place a piece of iron near a magnet, it does a work by attracting it. If H is 0 (I think there is only the magnetic moment vector M...
  41. ElPimiento

    Work that must be done to charge a spherical shell

    1. Calculate the work that must be done on charges brought from infinity to charge a spherical shell of radius R = 0.100 m to a total charge of Q = 125 μC.2. V = k_e\int{\frac{dq}{r}} \triangle V = - \int{E \cdot ds} W = q\triangle V 3. I started with assuming the spherical shell produces an...
  42. henrco

    Calculate the work done by a force on a particle

    Homework Statement A force Fx acts on a particle that has a mass of 1.46 kg. The force is related to the position x of the particle by the formula Fx = Cx^3, where C = 0.550 if x is in meters and Fx is in Newtons. Calculate the work done by this force on the particle as the particle moves from...
  43. M

    Total Work done on a Capacitor

    Homework Statement I am currently trying to work on the extra credit question, the capacitance of the capacitor is 2 microfarads Homework Equations W = 1/2CV^2 The Attempt at a Solution I've done the previous sections, and have gotten 4.23 * 10^-11 J as the answer for the work done on the...
  44. N

    How to evaluate the work done by spring without applying calculus

    In my textbook, the formula used to evaluate the value of work done by horizontally placed spring has been evaluated by applying the rules of integration. I want to evaluate it with another simple way except calculas. I want to learn the simplest way to evaluate it in such a way that even a boy...
  45. Rumplestiltskin

    Work done by friction (rolling resistance)

    Homework Statement The carriage and its passengers start at rest at A. At B, the bottom of the ride, the maximum speed of the carriage is 20ms-1. The vertical distance between A and B is 110m. The length of the track between A and B is 510m. The mass of the carriage and the passengers is...
  46. N

    Calculating Work Done by Car Engine

    Homework Statement A car (mass 900 kg) runs 12 km along a level road at a constant speed of 80 km / h. The friction force is 500N. Calculate the work done by the engine Homework Equations W= F x displacement[/B]The Attempt at a Solution W= (900x 9.81) N x 12000m W=10594800 J But this is...
  47. Rumplestiltskin

    Finding Work and Force in a Thrown Ball Problem

    Homework Statement A 4.0kg ball is thrown vertically up into the air with an initial velocity of 8.5ms−1 . By the time it is height h metres above the starting point, it has a velocity of 3.0ms−1 and has done 4.0J of work against air resistance. Find h. Homework Equations Work done = force x...
  48. A

    Does a magnetic field always do work?

    Magnetic field do no work. Is this always true? If so then what is the explanation of that crane thing?
  49. K

    How Is Work Calculated in Thermodynamic Processes?

    Homework Statement Homework Equations no The Attempt at a Solution [/B] I assumed the path from c to a to be a straight line and I'm unable to find the work as the area in the image above. (sorry my poor english). The book's answer is -2460 J. The answer I found is ≅ -1112 J. My...
  50. Y

    What Is the Potential at the Center of Concentric Metallic Spheres?

    Homework Statement A metallic sphere is placed inside a hollow spherical shell. The potential on the inner and outer spheres is 10 V and 5 V respectively. What is the potential at the center?(The spheres are concentric.) Homework Equations $$V =\frac{kq}{r}$$ The Attempt at a Solution The...
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