Energy must be transferred to an object to help it move, and the energy can be transferred in the form of force. The energy transferred by force to move any object is known as work or work done. Therefore, work and energy have a direct relationship. The difference in the kinetic energy of an object is called work done by the object. Work and energy are common terms in Physics and can be considered two sides of a coin. This article is necessary to state the relationship between work and energy.
Work is done when force is applied for moving an object. Work can also be described as the activity that involves a movement and force in the force's direction.
The SI unit of work is Joule (J), which is a term for Newton-meter.
For example, when you kick a ball, you exert an external force called F, causing it to move at a certain distance. This change in the ball's position from A to B is called the displacement (d). Work is calculated by multiplying the force applied to the object by the movement of the object. W = F * d.
Energy is the capacity to do work. The formula for Potential Energy is mgh, where m is the object's mass, g is the gravitational force, and h is the height that the object covered. Below you can find the relationship between work and potential energy / Kinetic Energy.
Energy cannot be created or destroyed. Energy can only be transferred from one form to another. There are various types of energy, and all of them are either kinetic or potential. Energy in motion is termed Kinetic Energy, and the one stored in an object is termed Potential Energy.
There are other types of energy, including:
Mechanical Wave Energy
SI unit of Energy is Joules, named after James Prescott Joule.
What is the Relationship Between Work and Energy?
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One can describe the relationship between work and energy using the proportionality factor; both are directly proportional to one another.
The relationship between work and energy is as follows:
W = ½ mvf2 – ½ mvi2.
W is the work done by the object and is measured using Joules.
M is the mass of the concerned object and is measured using Kg.
Vf is the final velocity of the concerned object and is measured in m/s.
vi is the initial velocity of the concerned object and is measured using m/s.
Therefore, the relation between work and energy (work-energy theorem) states:
The network that force does on an object is equal to the change in its kinetic energy. Thus, the relation between work and kinetic energy is as follows:
W = Ki – Kf = ΔK
Ki is the object’s initial kinetic energy.
Kf is the object’s final kinetic energy.
ΔK is the difference between the final and the initial Kinetic Energies.