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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Kinetic energy and temperature

Kinetic energy and temperature

Read about kinetic energy and temperature and how we define temperature, also units of kinetic energy and its formula and transformation.

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The relationship between kinetic energy and temperature is that the higher the temperature, the faster the particles move. The only motion possible for atoms in a simple monatomic gas, such as helium or neon, travels from one location to another in a straight line until they collide with another atom or molecule. So, a gas’s average kinetic energy and temperature are directly proportional. The relative kinetic energy of the two colliding atoms can, and often does change as a result of these collisions: if one slows down, the other accelerates. 

Kinetic energy

The kinetic energy of an atom or molecule is directly proportional in this type of motion, known as translational motion. 

So,

KE = 12mv^2 = 32 kT, 

where v = the average velocity of the population’s molecules

m denotes mass

k = the Boltzmann constant

T = temperature 

Atoms in any given gaseous sample collide multiple times in unit time. Yet, these collisions do not affect the total energy of the system.

There is kinetic energy in every atom and molecule, but not temperature. This is a crucial distinction to make. Individual molecules do not have a temperature; they have kinetic energy. Populations of molecules have a temperature linked to their average velocity. Temperature as a characteristic of a system, rather than its components, is an essential concept. While a system’s temperature is unique, the kinetic energy of the individual molecules that make up the system might be varied. Even though the temperature of the system remains constant, an individual molecule’s kinetic energy might change rapidly due to collisions between molecules. Individual kinetic energy will be crucial when it comes to chemical bonds.

How do we define temperature?

Temperature is a measure of how hot or cold something is. More specifically, it is a measure of the average kinetic energy of an object. But when it comes to hot and cold, how much hot is hot and how cold is cold? The terms “hot” and “cold” aren’t scientific. There intensities, represented by temperature, must be used if we want to precisely indicate how hot or cold something is. How hot is molten iron, for example? A physical scientist would measure the temperature of the liquid metal to answer that. Using temperature instead of phrases like hot or cold helps avoid misunderstandings.

Units of kinetic energy

Joule is the standard unit of energy including kinetic energy.

Kinetic Energy Transformation

One of the essential areas of physics is energy transformations. One of the most prevalent forms of transformations is to and from kinetic energy. These kinds of transitions are so widespread that they’re possibly happening right in your neighbourhood. Since examples of kinetic energy transformation exist among natural and man-made products, it’s easy to find them.

A basic yo-yo is one of the most compelling examples of kinetic energy transformation. Allowing the device to rest in one’s hand is the first step in playing with it. All of the energy held in the yo-yo at this time is referred to as potential energy or stored energy. The potential energy in the yo-yo is converted into kinetic energy or movement energy when the yo-yo is dropped from a person’s hand. All of the yo-yo’s energy is kinetic once it hits the very bottom of the string. This kinetic energy is turned back into potential energy as it moves up the string until it reaches the person’s palm, where all of the energy is once again potential. 

Kinetic energy does not always need to transfer between potential and kinetic energy. It can instead be converted into a variety of different forms of energy, including electrical energy. In the case of a wind turbine, for example, kinetic energy from the wind is turned into electric energy through a sequence of stages. The process starts with the kinetic energy of the wind being converted to mechanical energy by rotating a wind turbine. The mechanical energy generated by the wind turbine is subsequently transmitted to an electrical generator, where it is converted to electrical energy.

Elastic energy is a type of energy that can easily be converted in and out of kinetic energy. Elastic energy is commonly found in elastic items such as rubber bands, which is not surprising. A rubber band initially stores elastic energy, which can be converted to kinetic energy when squeezed or extended. When you pull back a rubber, it accumulates elastic energy, which is transferred to kinetic energy when you let go. This energy is also known as elastic potential energy since it behaves similarly to potential energy.

The ability to accomplish work is perhaps the essential attribute of kinetic energy. Work is defined as a force acting in the direction of motion on an object. Work and energy are so inextricably linked that they can be used interchangeably. Work (W) is more commonly thought of as force (F) times distance (d): W = F x d. While E = 12mv^2 is a typical expression for the energy of motion. Work must be done on an object if we want to influence its kinetic energy.

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