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. M

    Calculating value of R from P, V, T data and work done in compression process

    Homework Statement Calculate a value of R, specific gas constant for air, from the values you have. Also calculate the work done in the compression process.Homework Equations Pv = RT ρair = 1.2 kg/m^3The Attempt at a Solution Have P,V and T data from an adiabatic compression. I think I need...
  2. L

    How to Calculate Work Required for Moving a Charge in 2D Electric Field

    Hey, I've been working on this problem, it starts by asking for the potential, then from that the electric field, and finally it asks to calculate the work required to move a charge from infinite to the point it was originally. It's a 2D problem so the electric field was E = (Ex,Ey) and the...
  3. B

    Calculating the work done during an isothermal expansion using integration

    Homework Statement In calculus, the work done when a gas expands from volume V1 to volume V2 is given by W = ∫V2V1 P dV Use this expression to show that the work done by n moles of gas at temperature T during an isothermal expansion from volume V1 to V2 is W = nRT ln(V2/V1) Homework...
  4. D

    Direction of the work done by force of friction

    Topic : Direction of the work done by force of friction Consider a case when a block is placed on a horizontal platform at rest. It then starts accelerating with a constant acceleration such that, Friction present between the block and the horizontal platform > mass times its acceleration...
  5. B

    Calculating Parachute Work and Distance for Slowing Down a Car

    i'm trying to figure out the work done by a parachute to slow down a car and so far i have come up with: W = F_{d} * d F_{d} = C_{d} ρ A_{f} V^{2}/2 and i have equated the loss of kinetic energy to the work done by the parachute, since the velocity is not constant and therefore the work...
  6. S

    Understanding Energy and Work Done

    Energy is the capacity to do work. So if I have energy I can do work. But if a rock has 100J from falling down a building to push a pillar into the ground, it might not have enough energy to have any work done to push it in. So what happens to that 100Js? Ignoring air resistance. Since energy...
  7. N

    Simple and basic momentum and work done Qs

    Mr Green, mass 80 kg, stepped off a boat of mass 35 kg at a speed of 3m/s. how fast did the boat move in the opposite direction?
  8. 1

    Work done by General Variable force

    Homework Statement The force on a particle is directed along an x-axis and is given by F = F0(x/x0 - 1). Find the work done by the force in moving the particle from x = 0 to x = 2x0 Homework Equations The Attempt at a Solution It looks like the force is a recurrence relation or...
  9. S

    Work done by friction on a skier and resulting distance the skier travels

    Homework Statement A skier starts from rest on a 20m high, 20° slope. μk=0.210 Find the horizontal distance traveled by the skier. From this, for the equations below we know that: yf = 0 vi = 0 vf = 0 Homework Equations Wnet = Wnc + Wg = ΔKE Wnet = -fkd Wnc = ΔKE + ΔPE Wnc = ΔKE + mg(yf - yi)...
  10. P

    What is the minimum work required to push a car up an incline with friction?

    Homework Statement What is the minimum work needed to push a 900 kg car 880 m up along a 9.5° incline? Assume the effective coefficient of friction retarding the car is 0.20. Homework Equations W = F * d * cos (θ) Normal Force - mg * cos (9.5°) Force of kinetic friction = μ * Normal Force...
  11. P

    Work Done by Gravity on 265kg Load: 6.24x10^4 J

    Homework Statement A 265-kg load is lifted 24.0 m vertically with an acceleration =0.190 g by a single cable. Determine the work done by gravity on the load. Homework Equations Force of Gravity = mg W = F * d * cos (theta) The Attempt at a Solution I think I know why I did...
  12. C

    Finding the work done to remove a dielectric slab.

    Homework Statement A 6.8-nF parallel plate capacitor with a sheet of Mylar (κ = 3.1) filling the space between the plates is charged to a potential difference of 160 V and is then disconnected. (The initial capacitance including the dielectric is 6.8 nF.) (a) How much work is required to...
  13. Psinter

    What is the distance a particle has moved if I know the work done

    Homework Statement I was asked to find the distance a particle had traveled and was given its integral solved, except the upper limit was an equation. (x^2+2x) is the force in pounds that acts on the particle Homework Equations \int_{0}^{x^2+2}(x^2+2x)dx = 108 The Attempt at a...
  14. E

    Mechanics - work done conservation of energy *Help needed*

    Homework Statement A train with a mass of 250 tonnes starts from rest and accelerates up an incline of 1 in 100 attaining a speed of 45 Kph after traveling 200m. If the frictional resistance to motion is constant at 30KN calculate the work done by the engine using the principle of conservation...
  15. L

    Work done by damping, harmonic oscillator, help?

    Ok here's the question: A body m is attached to a spring with spring constant k. While the body executes oscillations it also experiences a damping force F = -βv where 'v' is time derivative of displacement of the body from its equilibrium position. I believe equation of motion is F =...
  16. S

    Is work done by friction the same as thermal energy?

    Homework Statement I ask this because my initial assumption was that work done by a non-conservative force (friction in this case) is also equal to thermal energy. However, in my book, it gave an equation with W = Emec + E thermal. They also had an example where they added up the work and...
  17. C

    Work done by motor with pulley wheel on spindle.

    I need to calculate the work done by an electric motor when it has a pulley wheel on the end but nothing on the pulley wheel. I know work done = force x distance. And of course force = mass x acceleration. But I cannot for the life of me think of how I am going to work out the acceleration? or...
  18. K

    Total work done on clay during Spring Compression

    Homework Statement A 4.63-kg ball of clay is thrown downward from a height of 2.69 m with a speed of 5.01 m/s onto a spring with k = 1610 N/m. The clay compresses the spring a certain maximum amount before momentarily stopping. b) Find the total work done on the clay during the spring's...
  19. S

    Finding the Block's Position After Work is Done on a Spring System

    Homework Statement We must apply a force of magnitude 80N to hold the block stationary at x = -2.0cm. From that position, we then slowly move the block so that our force does +4.0J of work on the spring-block system; the block is then again stationary. What is the block's position? (Two...
  20. C

    Work done by pulling block over surface.

    Homework Statement A 80-kg block is pulled across a rough surface a distance of 1.25 metres. How much work was done in moving it? The coefficient of static friction was 0.3 and kinetic friction was 0.2. Assume the velocities were very low. Homework Equations W = fd ?? The Attempt at...
  21. G

    Electromagnetism : work done in assembling free charges to a distribution of charges

    Homework Statement Consider a system of “free” charges {qi } and “bound” charges {Qi }. Both types of charges feel the Coulomb force due to all other charges (free and bound). However, the bound charges feel additional “mechanical” forces due to the other bound charges. Let the mechanical...
  22. M

    Question about calculating work done

    Hi We all know that work done corresponds to energy used and calculated as force*distance So if we are pushing against a wall, it does not count as work done, as there is no motion However, aren't we still wasting energy when we are pushing against a wall? Since a certain amount of energy is...
  23. B

    About the work done in moving a charge in an electric field

    An external force moved a positive test charge from A to B where B is closer to the centre of the field. Therefore, the force exerted by the field is from A to B. The textbook is saying the work done is negative. But the external force moved the charge against the electric field strength as if...
  24. phosgene

    Work done moving two charges together

    Homework Statement Two point charges of magnitude +10 μC each are placed 0.2 m away from each other. a) How much work is done in placing the second charge? b) Is there any point at which the electric field and electric potential are both 0? Homework Equations Work = (charge of first...
  25. V

    Does Normal Force Do Work in Vertical Motion?

    Hello, I have become very confused after i tried to solve this question. A rope pulls a 2 kg object straight up, accelerating it from rest at 2.2 m/s^2 for 3 seconds. they want the work done by each force acting on it. Ok i found the displacement as 9.9 m up. Then i found out that the...
  26. Rapier

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  27. J

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  28. P

    Understanding Potential Difference: Work Done per Unit Charge?

    I learned Potential but could not understand what Potential Difference is. Some define it as Work Done per unit charge. I am confused what per unit charge is. Does that mean electrons or protons ? As much as I know, electric current is the flow of negatively charged electrons to the positive...
  29. T

    Calculating work done with angles

    Hi all. I am trying to learn more on physics, and am at the subject on calculating work done. The formula to calculate work done is Work done = Force * Dislacement * consine(theta). I am on a question which explains: a 100N force is applied at an angle of 30 degrees to the horizontal to...
  30. M

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  31. D

    Calculating Work using the Integral Method | Density of Water Formula

    Homework Statement Homework Equations W = \int F dx For density of water i used D = 62.4lb/ft^3 g = 32.2 ft/s^2 g(D = \frac{m}{V}) gDV = mg gDV = F The Attempt at a Solution i use limit from 0 to 6 W = \int_{0}^{6} F dx W = \int_{0}^{6} gDV dx W = \int_{0}^{6}...
  32. J

    Work done by pumping water into a tank

    Homework Statement Problem with picture attached I need help on 24. **24 is a continuation of 23 so use the same dimension except for the distance... Or you can go here http://college.cengage.com/mathematics/blackboard/content/larson/calc8e/calc8e_solution_main.html?CH=00&SECT=a&TYPE=se...
  33. Z

    Work Done By A Force of Constant Magnitude in Moving an Object in a Circle

    Homework Statement A wagon is drawn by a student pulling with a constant force of F Newtons applied at an angle of θ° to the horizontal. If the wagon is drawn in a circle with radius r meters, how much work is done on the wagon? (I don't remember the actual numbers) Homework Equations...
  34. H

    How Is Work Calculated Along a Semicircle in Vector Calculus?

    Homework Statement Find the work done along the semicircle (x-1)2+y2=1 from the point (0,0,0) to (2,0,0) When F=r3cos2φsinφ\hat{r} + r3*cosφ*cos(2φ) \hat{φ}Homework Equations Work W=∫F*dr where dr=dr= dr\hat{r} + rsinφdφ\hat{φ} The Attempt at a Solution I convert the equation of the line...
  35. H

    Finding work done in spherical coordinates

    [b]1. Find the work done by the force F=r3*cos2\varphi*sin\varphi*\hat{r} + r3*cos\varphi*cos(2\varphi) \hat{\varphi} from the point (0,0,0) to (2,0,0) Homework Equations Work=\int F*dr where dr= dr\hat{r} + rd\varphi\hat{\varphi}The Attempt at a Solution When muliplying the line element, dr...
  36. M

    What is the net work done if an object is ?

    Homework Statement What is the net work done if an object is raised 5m, carried horizontally 8m, lowered 2m, and then lowered 3m if there is no friction? Homework Equations W=F x d (force times distance) work done overcoming gravity: W=mgh (mass times gravity times...
  37. O

    How Is Work Calculated for a Driver Plate During Stress Accumulation?

    Show that the work done by the driver plate during a stress accumulation phase is W=\frac{2m2g2fd}{k}(fs-fdI'm not sure where to start with this. I am given several equations but can't reach the desired equation. Fn=ρghA m=ρA3/2 θ=\frac{fs}{fd} X=\frac{xG}{2fsρghA1/2}...
  38. M

    How much work is required to pump water from a cone-shaped reservoir?

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  39. C

    Calculating Work Done by Air in a Siphon Pump for Water Barrel

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  40. F

    Calculating work done in a thermodynamic process

    Homework Statement The figure shows a thermodynamic process followed by 130 mg of helium. How much work is done on the gas during each of the three segments? p_1 = 1.08 atm, p_2 = 5.41 atm, p_3=1.08 atm T_1=133 C, T_2=T_3=1760 C V_1=V_2=1000 cm^3, V_3=5000 cm^3 These are answers...
  41. M

    Work done by an external force to move a charged particle

    Homework Statement A particle of (positive) charge Q is assumed to have a fixed position at P. A second particle of mass m and (negative) charge -q moves at constant speed in a circle of radius r1, centered at P. Derive an expression for the work W that must be done by an external agent on...
  42. C

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  43. S

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  44. J

    Work done and limit of a vector field.

    Homework Statement Consider the vector field F = r/|r|^p = <x,y,z>/|r|^p where p>1. Let C be the line from point (1,1,1) to the point (a,a,a) for a>1. (a) Compute work done in moving an object along C. (b) Find the limit a->infinity (that is, the work done in moving an object to...
  45. E

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  46. M

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  47. A

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  48. O

    Calculating the work done moving a charge in a magnetic field

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  49. W

    Work done by gas under constant pressure

    Hi, just wanted to ask a simple question: In the following equation: Work done by gas = Pressure x Change in volume does pressure refer to the pressure of the gas (that is doing the work), or does it refer to the external pressure (i.e. pressure of the surrounding gas)? I've heard...
  50. C

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    Homework Statement That's a graph of Force in Newtons (y axis) vs displacement in meters (x axis) for an object of mass 3.0kg that is moving along the x-axis and initially starts at rest. I am being asked to find the total work done on the object as it moves from x = 0 to x = 7...
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