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The relationship between work and energy is significant. There are a few ways which can be explained as work done. When an object is displaced by applying a force, such as a pull or a push, it is said to be work done. To put it another way, energy is defined as the ability to perform work. Energy can be classified in several forms such as potential, chemical, kinetic, thermal, electrical, nuclear, energy and so on. Work is determined by how a force must be exerted. A work is said to have been done when a force generates some kind of motion. Force and movement in the force’s direction are both involved in this activity.
Relationship between Energy and work:
- To move an object, energy must be transmitted to it. Energy transfer can take place via force. So, the movement of energy is determined by how a force must be exerted.
- Work is the amount of energy that a force expends to move an object. So, the force must cause a motion or displacement.
- Because of this, there is a direct link between Work and Energy. To put it another way, an object’s work is represented by the change in its Kinetic energy.
Is there a relation between energy and the amount of work done?
The amount of work and the amount of energy expended are directly related. The mathematical expression for the amount of work an object does can be summarised as:
W= 12mvf2–12mvi2
Where,
- W is the amount of work done by an object in Joules.
- m is the mass in kilograms of the object.
- The initial velocity, vi, of an item is expressed in m/s
- An object’s final velocity (vf) is expressed in m/s.
The force must cause a motion or displacement:
- There must be three elements present for a system to function. They are force, a cause, and displacement.
- Displacement must occur and the force must be responsible for the displacement. As a result, we can deduce that the force must cause a motion or displacement.
The Work and Energy Principle:
- According to the work-energy principle, the change in velocity of a body can be quantified in terms of its change in kinetic energy.
- The work-energy principle is derived from the rule of conservation of energy and is known as the work-energy principle.
- The Work-Kinetic Energy Theorem states, Wnet = ΔKE = KE f − KE I
Where Wnet is the work done on a whole system, ΔKE denotes the change in kinetic energy, K.Ei is the initial kinetic energy, and K.Ef is the final kinetic energy.
Work-Energy Relationships are expressed as equations showing how a force must be exerted:
- Formulated by the equation W = F.d, it is the resultant of a force (F) and the distance travelled (d).
- The rate at which a task is completed is referred to as “power.” It’s described as: P = W/t
- Nm or Newton-metre or kg.m2/s2.1 Joule or Joules is the unit of measure for energy or work. One Joule equals the amount of heat created when one Newton of force is applied across one metre of distance.
What is the definition of energy?
- Transferring work from an object requires energy transformation, which is a quantifiable attribute.
- As a result, we can define energy as the ability to carry out any form of physical action. Thus, energy is the capacity to perform work.
- The Joule is the unit of energy measurement used by the International System of Units.
What are the different types of energy?
Even though there are various types of energy, Examples of these are:
- light energy,
- heat energy,
- mechanical energy,
- gravitational energy,
- electrical energy,
- sound energy,
- chemical energy,
- nuclear or atomic energy and so on.
Each form can be converted or changed into the other forms.
What is Kinetic Energy?
Kinetic Energy:
- To put it another way, it’s all about motion. An object in motion can perform work.
- The following formula can be used to calculate kinetic energy: K.E = ½ mv2
Potential Energy:
In physics, the term “potential energy” refers to the energy that can be stored in a system of objects. It is possible for potential energy to be converted into the more obvious form of kinetic energy.
The formula to calculate potential energy is: PE= m x g x h
Where
- Work done is indicated by W
- m is the object’s weight,
- g is the gravitational acceleration, and
- h is the height to which the object is being lifted.
- The amount of work required to lift an object is proportional to its weight multiplied by the height at which it is elevated.
Working against gravity is depicted mathematically using this equation: W = m x g x h
Distinction between Energy and Work:
S.NO. | ENERGY | WORK |
1. | Energy is that the results of the work performed | There is a parallel relationship between the force components and displacement |
2. | Energy is the ability to supply or create work | Work is the ability to supply force and a change in distance to an object |
3. | It is described as a property of a system | The action did on the thing causing some displacement |
4. | The is not any direction component here because it may be a scalar quantity | If the applied force is within the same direction of the displacement than work is positive |
5. | Then also there’ll be no direction component here because it may be a scalar quantity | It the applied force is within the other way of the displacement that employment is negative |
Conclusion:
We have learned a brief about work and energy. We have understood Work is the ability to supply force and a change in distance to an object. Besides, the relationship between work and energy has been established through equations. Moreover, we have learned about energy’s definition and its different types. Lastly, we have identified the key points for a distinction between work and energy.
