Energy
Chemical
Thermal
Radiant
Nuclear
Energy contained in waves
The sun creates waves that are radiant energy. 
A microwave uses radiant energy to heat up food.
The molecular, potential, and kinetic energy of atoms
Wood gives thermal energy as it burns.
An oven uses thermal energy to cook food.
Energy contained in the forces that hold the nucleus together
Nuclear power plants use the atoms nuclear energy by either cutting an atoms or putting 2 nuclei together.
Nuclear bomb is nuclear energy in an explosion.
Energy stored in the chemical bonds of atoms
Photosynthesis changes the sun rays to chemical energy.
Food: Your body breaks the bonds of food atoms apart creating energy for your body to use
Mechanical
Electrical
Total amount of potential and kinetic energy in a system
Swing: When the swing is up high it has potential energy and as it goes down it has kinetic energy
Roller Coaster: When the roller coaster is up high it has potential energy and as it goes down it has kinetic energy
Energy stored in the charges of atoms
Outlets give electrons to devices for their use.
Lightning is electrons moving from the sky to the ground.