Label as to Mechanical, Electrical, Chemical, Heat, Radiant, Nuclear energy:

1) an egg
2)fire
3)waterfall
4)sound
5)light
6)gasoline
7)lightning
8) sun's energy
9) cooking an egg

To determine the type of energy associated with each item, we can analyze the nature of the energy transfer or transformation involved.

1) Egg: There is no one specific type of energy associated with an egg, as it depends on the context. In terms of its internal energy, an egg can be considered to have both chemical energy (due to its composition) and thermal energy (if it is warm). However, the primary type of energy associated with an egg would be chemical energy.

2) Fire: Fire involves various forms of energy. The primary energy involved is chemical energy, as fire is typically the result of a combustion reaction. The chemical energy stored in the fuel is released and transformed into thermal energy (heat) and radiant energy (light).

3) Waterfall: The primary energy associated with a waterfall is gravitational potential energy. As water falls from a higher elevation to a lower elevation, its potential energy is converted to kinetic energy (the energy of motion) and can be harnessed to do work if properly captured.

4) Sound: Sound energy is a form of mechanical energy. It is produced by the vibration of particles, typically in a gas or a fluid medium. Sound energy propagates through the air or other mediums as waves.

5) Light: Light energy is a form of radiant energy, which is an electromagnetic wave. It is produced by the vibration of and interaction between electric and magnetic fields. Light energy can be emitted, absorbed, and reflected by various objects.

6) Gasoline: Gasoline is a liquid fuel primarily containing chemical potential energy. When it undergoes combustion, the stored chemical energy is transformed into thermal energy and kinetic energy, which can be used to power an engine.

7) Lightning: Lightning is a natural electrical discharge in the atmosphere. It involves the transmission of large amounts of electrical energy through the air. The energy associated with lightning is electrical energy.

8) Sun's energy: The primary type of energy associated with the Sun is radiant energy. The Sun emits a vast amount of electromagnetic radiation, including visible light, infrared radiation, and ultraviolet radiation.

9) Cooking an egg: Cooking an egg involves the transfer of heat energy from a heat source, such as a stove or oven, to the egg. The heat causes physical and chemical changes in the egg, resulting in the cooked state. Therefore, the primary energy involved in cooking an egg is thermal energy (heat).