Work:
The product of the force and the displacement in the direction and which the force is applied.

W = FS cosθ

Energy:
The energy of a body is its capacity to do work.
Mechanical energy is of two types: Kinetic energy and Potential energy.

Kinetic Energy:
*The energy possessed by a body by
virtue of its motion is known as its
kinetic energy.

K.E = ½mv²

Potential Energy:
*The energy possessed by a body by
virtue of its position or condition is
known as its potential energy.
*The two common forms of potential
energy : gravitational [ P.E. = mgh ]
and elastic [ U = ½kx² ] .

Unit Work & Energy - J (Joules)

Power:
The rate at which work is done i.e. energy converted.The unit of power is watt (W).

P = W/t

Work, Energy, and Power in Physics

Work:
- Work is defined as the product of the force applied on an object and the distance through which the force acts. Mathematically, it is given by the formula: Work = Force x Distance. The unit of work is joules (J).

Energy:
- Energy is the ability to do work. There are various forms of energy such as kinetic energy (energy of motion), potential energy (stored energy), and thermal energy (heat energy). The total energy of a system remains constant, according to the law of conservation of energy.

Power:
- Power is the rate at which work is done or energy is transferred. It is given by the formula: Power = Work / Time. The unit of power is watts (W).

Relationship between Work, Energy, and Power:
- Work done on an object changes its energy. If work is done on an object, its energy increases. If work is done by an object, its energy decreases. Power determines how quickly work is done or energy is transferred.

Applications:
- Understanding work, energy, and power is crucial in various fields such as engineering, mechanics, and physics. It helps in analyzing the efficiency of machines, calculating the energy required for different processes, and optimizing power usage.

Conclusion:
- Work, energy, and power are fundamental concepts in physics that play a vital role in understanding the behavior of objects and systems. By grasping these concepts, one can solve complex problems related to motion, forces, and energy transformations.