Relation between Work and Energy


Introduction

The energy of the machinery body can be transferred to other objects to move. Transferring the energy to other body particles is in the form of force. The actual amount of energy that is transferred by the help of inside and outside forces to move to another object is considered as work as well as work done. Therefore, the relation between the work and energy in physics is direct and the difference between these two factors can be seen in the kinetic energy of a particular object that is work done by the specific object.

Relation between Work and Energy

The relation between these two objects is measured by the formula $\mathrm{W=1/2\:mv^{2}f-1/2mv^{2}i}$ where W signifies the rate of work done that is generally measured by using Joules, and m denotes the object’s mass that is measured with the unit of kg. In this formula, vi considered the preliminary velocity of the object that is calculated with the unit of m/s while vf considered the final velocity of the object that is calculated with the unit of m/s (Kukhar et al. 2018).

Another important formula is severally used for measuring is $\mathrm{W=K_{i}-K_{f}}$. In this formula, W represents the rate of work done, Ki denotes the kinetic energy and the Kf. refers to as the final energy of the machinery body.

Measuring Process of Work and Energy

Work denotes the motion of the machinery body that is caused in case of force. For example, if a man started to climb a flight of stairs is the perfect illustration of this incident. This is happened because of gravitational force (Kukhar et al. 2018). When a man climbs against the gravitational force in case of the man has been done the work against it.

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The workforce can be calculated by the formula

Work = force $\mathrm{\times}$ displacement towards the force and it is equivalent to F*S.

In the formula, the F stands for the force and S denotes the distance. The work of the machinery body is equivalent to FS Cos$\mathrm{\theta}$ and it has happened when the machinery body is displaced by the entire distance covered by an operating force (Mintairov et al. 2019). The figure denotes that with the increment of energy the work rate is also increased.

Properties of Work and Energy

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The same unit that is Joule calculates the energy, as well as work. Simply, the work capacity of a machinery body is represented as energy. The work rate of the body is completed with s specific amount of work that is also finished as per the time unit that is referred to as power. In order to do work, one has to need some energy while power is that peculiar rate at which the body can.

Difference between Work and Energy

Work is demonstrated as the sort of energy transfer that happens when an object is shifted over a distance by an external force. Energy is illustrated as the calculation of the capability of something in doing the tasks (Ostertak, Sinitskiy & Dragunov 2019).

Energy is not materialistic or any sort of substance. Energy can also be termed as the speed which works at a measurable distance and deals with the capability of an object in doing the tasks (Touzani et al. 2018). The SI unit of work and energy is Joules.

Work Energy
Work is mentioned as the capability to transform in distance to the object and supply the force. Energy is mentioned as the capability of creating or supplying the work with high force.
A parallel connection between the components and displacement of force exists. Energy is demonstrated as the consequence of the performance of work.
The course of action happening on the thing causes some sort of displacement. Energy is often referred to as the system property.
It is a scalar unit Energy similar to the work is also referred to as scalar units.

Work is equal to force multiplied by distance.

(Work = force*distance)

Multiple equations are there relying upon different types of energy.
Work is known to be positive if the applied force is within a similar displacement direction. Energy does not have any directional element because it is referred to as a scalar quantity.
Work becomes negative if applicable force is another displacement way. Do not change in Energy because it is a scalar quantity.

Conclusion

Work and energy possess a powerful relation as energy may get changed to an object in shifting to it. They have a direct connection and the distinction in the kinetic energy of the object is work done by them. The work-energy theorem demonstrates the connection between kinetic energy and work. The theory states that doing work by the addition of all the forces acting over the object or particle is equal to the transformation in a particle's Kinetic energy. The capability to do any sort of job is mentioned as the Energy. An individual requires some energy in completing the work. The relationship between the terms is clearly determined by their definition.

FAQs

Q.1. Is the energy amount and work done amount expanded the same?

Ans. Energy must be provided to assist the moving of objects and this energy might be portrayed in the type of force. Work done or work is mentioned as the energy transferred by force to shift any object.

Q.2. Illustrate 1J of work

Ans. 1 Joule of work is mentioned as the work done through the own direction when 1N force causes the deportation of 1 m. The SI unit of work is Joule.

Q.3. What is the Kinetic energy of an object?

Ans. The possession of energy by the body by motion virtue is referred to as Kinetic energy. The expression of Kinetic energy (KE) is equal to $\mathrm{1/2mv^{2}}$ where m represents mass and V denotes velocity.

Q.4. Can work do be represented as Zero?

Ans. Work done is said to be zero when the body displacement is perpendicular or Zero to the applied force in any direction. For instance, if the person tries to move the wall, that person is putting force and the wall does not move, then work done is said to be zero.

Updated on: 21-Dec-2022

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