proof of kinetic gas equation
Answers
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Derivation of Kinetic Energy using Algebra
The kinetic energy derivation using only algebra is one of the best ways to understand the formula in-depth.
Starting with the work-energy theorem and then adding Newton’s second law of motion we can say that,
Derivation Of Kinetic Energy
Now, taking the kinematics equation and rearranging it, we get
Derivation Of Kinetic Energy
Combining the 2 expressions we get,
Derivation Of Kinetic Energy
Derivation Of Kinetic Energy
Now we already know that kinetic energy is the energy that it possessed due to its motion. So the kinetic energy at rest should be zero. Therefore we can say that kinetic energy is:
Answer:
we know that ,
f=ma (1)
also by 3rd equation of motion,
v^2-u^2=2as
u=0 and
V^2/2s=a
substituting in equation (1)
m x v^2/2
- 1/2mv^2