Chapter 10: Work and Energy

10.1 Scientific Conception of Work

In science, work is said to be done when a force acts on an object and the object is displaced in the direction of the force.

W = F × s Where W = Work (Joule), F = Force (Newton), s = Displacement (Metre)
1 Joule (J)

Amount of work done when a force of 1 N displaces an object by 1 m along the line of action of the force.

10.2 Energy

An object having a capability to do work is said to possess energy. The unit of energy is the same as that of work, i.e., Joule (J).

10.2.2 Kinetic Energy (Eₖ)

The energy possessed by an object due to its motion. It increases with the speed of the object.

Eₖ = ½ m v² m = mass, v = velocity

10.2.3 Potential Energy (Eₚ)

The energy possessed by an object by virtue of its position (height) or configuration (shape).

Eₚ = m g h m = mass, g = 9.8 m/s², h = height

10.2.6 Law of Conservation of Energy

The Law

Energy can only be converted from one form to another; it can neither be created nor destroyed. The total energy before and after transformation remains constant.

10.3 Power

Power is defined as the rate of doing work or the rate of transfer of energy.

P = W / t Unit: Watt (W) | 1 kW = 1000 W | 1 kWh = 3.6 × 10⁶ J