Chris's Corner

# Proving Kinetic Energy From Acceleration By Chris Choi

Is it possible to prove the kinetic energy by using only an acceleration(a)?

Kinetic energy is the energy of an object or a particle has because of its motion. It is also defined as the amount of work needed to accelerate an object or a particle of the mass. Simply speaking, it is the energy of motion. This energy is related to kinematics, work, and energy. The word kinetic is originated from a Greek word called ‘kinesis’ meaning “motion”. The kinetic energy was described as the living force by Gottfried Leibniz and Johann Bernoulli. They were the physicists who had first developed the principle in classical mechanics that E ∝ mv2. The standard unit of kinetic energy is the joule(J), while the standard unit of force is newton(N).

The equation of the Kinetic Energy: “1⁄2mv^2”.

Now here is the question: Is it possible to prove the kinetic energy by using only an acceleration(a)?

The majority will definitely answer, “Impossible!”

However, it is possible if you know the concepts of calculus.

Here are the proofs