Define energy.

Energy is the ability of a system to do work or transfer heat. In simple terms, it is the capacity to do work or cause physical changes in an object. It is usually measured in joules (J).

There are several forms of energy, which can be broadly classified as potential and kinetic energy. Some common forms of energy include: 1. Mechanical energy: The sum of an object's kinetic and potential energy. 2. Kinetic energy: The energy of motion. It's proportional to an object's mass and the square of its velocity. The formula for kinetic energy is \(KE = \frac{1}{2}mv^2\), where\(m\) is the mass and \(v\) is the velocity. 3. Potential energy: The stored energy based on an object's position within a force field (e.g., gravity). For example, the gravitational potential energy is given by \(PE = mgh\), where \(m\) is mass, \(g\) is the acceleration due to gravity, and \(h\) is the height above ground. 4. Chemical energy: The energy stored in the bonds between atoms and molecules. 5. Thermal energy: The kinetic energy of atoms or molecules in motion, also known as heat energy. 6. Electrical energy: The energy due to the flow of electrons. 7. Nuclear energy: The energy stored in the nuclei of atoms, which can be released during nuclear fission or fusion.

The law of conservation of energy states that energy cannot be created or destroyed, but it can change from one form to another. The total energy in a closed system remains constant. This principle is essential for energy analysis in physics and engineering problems.

Consider a roller coaster ride. When the roller coaster is at the top of a hill, it has maximum potential energy due to its height. As it goes downhill, the potential energy is converted into kinetic energy, making the roller coaster move faster. At the bottom of the hill, the roller coaster has maximum kinetic energy and minimum potential energy. As it moves upward again, kinetic energy is transformed back into potential energy. In an ideal scenario, without considering energy losses due to air resistance or friction, the total energy (including kinetic and potential energy) remains constant throughout the roller coaster's journey.