Certainly, let’s delve into the concepts of power, work, and energy:
Work: Work is a physical concept that involves the transfer of energy to or from an object due to the application of a force over a distance. In scientific terms, work is done when a force is applied to an object, and that force causes the object to move in the direction of the force applied.
Mathematically, work (W) is calculated using the formula: W=F⋅d⋅cos⁡(θ)W=F⋅d⋅cos(θ) Where:

• WW is the work done,
• FF is the force applied,
• dd is the distance over which the force is applied, and
• θθ is the angle between the direction of the force and the direction of the displacement.

Energy: Energy is a fundamental concept in physics that describes the capacity of a system to do work or transfer heat. It exists in various forms, including kinetic energy, potential energy, thermal energy, chemical energy, and more. Energy can be transformed from one form to another, but it cannot be created or destroyed—only transferred or converted.
Power: Power is the rate at which work is done or energy is transferred or converted. In simpler terms, power measures how quickly work is performed or energy changes occur. Mathematically, power (P) is calculated as: P=WtP=tW​ Where:

• PP is power,
• WW is the work done (or energy transferred),
• tt is the time taken to perform the work or transfer the energy.

Power is usually measured in watts (W) or joules per second (J/s), which is also known as a watt. In the International System of Units (SI), 1 watt is defined as 1 joule of work done or energy transferred in 1 second.
To summarize:

• Work is the transfer of energy that occurs when a force is applied over a distance, often resulting in the movement of an object.
• Energy is the capacity to do work or cause change. It exists in different forms and can be converted from one form to another.
• Power is the rate at which work is done or energy is transferred. It measures how quickly these changes occur and is measured in watts or joules per second.

These concepts are fundamental in understanding the physical world and are applied in various scientific and engineering contexts, including mechanics, thermodynamics, and electricity.