Step 3: Write down the final answer in joules. Step 2: Step 2: Insert the value of the force and displacement, in Newton and distance in meters =30�10 Solved Example on WorkĪ force 30N is applied on w body and the body moved a distance.10 m, then the work done is Reason: As there is no displacement (iron rod has not moved). In this part of Lesson 1, the concepts and mathematics of work will be applied in order to analyze a variety of physical situations. What was the work done by the three people? The work is subsequently calculated as forcedisplacementcosine (theta) where theta is the angle between the force and the displacement vectors. 400 N of force is applied by the three persons but the rod is not getting displaced. In order to do the work Body/Object must displace along the direction of forceĮxample 2: Three persons were working on a railway track, and like to move the iron rod through a distance of 1 meter. Now the work done by the child is zero, because the chair is not moving forward. Hence the work done = Newton X meter = 1 Joule.Įxample 1: A child pushes the chair forward and the chair will fall backward (not properly balanced). The equation for work can be rearranged to find force or distance if the other variables are. One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m. The SI unit for work is the joule (J), or Newton meter (N m). W = F X S = (Force is measured in Newtons and the displacement in meters). Work can be calculated with the equation: Work Force × Distance. The mechanical energy used while applying a force is called work. Without using the force, objects will not displace themselves due to Inertia (tendency of a body to continue in its state). In order to do the work two conditions are required to be fulfilled.Įven after applying the force on an object if the object does not moves then the work done is zero.įorce is the cause of the motion. OR The work is defined as force � displacement. In the given distance the work done by the person while mowing the land was 13,500 J."Work is said to be done when an object moves (displaces) along the direction of application of force." Now we can find the work done by using the work formula.
Solution: In this situation, the force is at the angle of 60^o with respect to its movement. Then calculate the work done by the person to move the lawnmower.
Besides, the force has a magnitude of 900 N. Let’s consider a man is pushing a lawnmower across a yard and the force that he is applying to the handle is angled down at 60^o from the horizontal plane. So, the work done by tractor to move the wagon in the given distance is 1,20,00,000 J or 12.0 MJ. Now we can apply the work formula to calculate the work done by the tractor.īesides, we can state it as Mega Joules 12.0 MJ. Solution: In this question, the movement and force that acted on the wagon are in the same direction, thus the angle between them was 0^o. Calculate the work done by the tractor to pull the wagon. Also, the force acted in the same direction as the movement of the tractor. For doing so the force exerted on the wagon to cover this distance was 12,000 N. Due to the nature of scalar product work is a scalar quantity besides the fact that both force and displacement are vector quantities.
#Work equation physics full#
Suppose a tractor-pulled a wagon full of hay to a distance of 1000 m. W = F × d × cosθ Derivation of Work Formulaį = the force which we express in Newton’sĭ = distance that the object or body coversĬosθ = refers to the angle amidst the force and movement direction Solved Examples on Work Formula Example 1 Work = Force × Distance × Cosine (refers to the angle between movement direction and force)
In this way, the air does work and transfer energy to the balloon. Also, this will cause the molecule to hit the surface of the balloon with more force causing its surface to expand. Moreover, when gas tries to expand it exerts an increasing force on the surface of the container and might make that surface move.įor example, suppose you heat a balloon then the air molecule inside the balloon will gain energy and strike each other. Also, work links with expansion and contraction of gases. When we do work we transfer energy from one object to another. In this way, the unit for work and energy is the same. Most noteworthy, joule and newton-meter (N) is the same thing.
Besides, the S.I unit of work is Joules (J). In simple words, work refers to the force you apply to an object to cause a change in its position or when the object moves and cover some distance. Moreover, in these cases the component of force that acts in the direction of the movement causes work to be done. Furthermore, sometimes it happens that the direction of the moving object is not as same as the direction of the force. When a force act on a body or object, it causes the object to move to cover a distance.
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