This will be the total kinetic energy of the particle and now by simple differentiation and integration tricks one can solve the mathematics.Īt the end we get KE= mc^2 + m0C^2 where mc^2 is the total energy which is represented by ” E” and second term is called as rest mass energy ( the potential energy) of the particle. if suppose particle displace from position A to B wich is a distance ” x ” then the total amount of work done will be the integration of it from ” 0 ” to “x ” into the right hand side. This work on the particle appear in terms of the small amount of kinetic energy. The work done to displace this particle by distance “dx”, will be ” F.dx “. In beginning, a particle is in rest and when a force act on it, particle starts to move, the mass of that particle is now ” m ” and speed is ” v “. By using this concept, one can derive the relation for particle’s kinetic energy and total energy.
More force, more work and more kinetic energy. It means the work done on the particle is basically its kinetic energy. The speed of the particle depends on the magnitude of the force, if force increases it speed will increase and hence its kinetic energy. As we may know, the change in state of an object is due to the change in the average kinetic energy of the particles. This causes them to be excited and they break the bonds that hold them together as a solid, resulting in a change of state: solid -> liquid. Total kinetic energy of two particle system is the sum of kinetic energy of system with respect to the centre of mass and kinetic energy of the centre of mass. Kinetic Temperature The expression for gas pressure developed from kinetic theory relates pressure and volume to the average molecular kinetic energy.Comparison with the ideal gas law leads to an expression for temperature sometimes referred to as the kinetic temperature. As ice melts into water, kinetic energy is being added to the particles.
This jump in kinetic energy is due to the fact that particles are not.
#TOTAL KINETIC ENERGY OF PARTICLES HOW TO#
In this lecture I just try to define and explain that how to derive result for relativistic kinetic energy and total energy.Īs the topic starts from a particle which is kept in rest and mass of that is ” m0 “, when a force is applied on it, the particle starts to move. Kinetic Energy of Two Particles System Relative to Centre of Mass Frame Consider two particles of masses m and m having velocities v and v. shows the total kinetic energy increases to 2 and after 0.3 s, it is nearly zero. If these variables are relative the Kinetic energy and hence total energy will be relative. In the special theory of relativity, length, time, velocity and mass is relative. But in special theory of relativity one can see that mass is also relative. In classical mechanics, the mass of a moving particle is independent of its velocity.
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