what do you understand by kinetic energy ?establish the formula of kinetic energy for a moving body?
Answers
Translational kinetic energy of a body is equal to one-half the product of its mass, m, and the square of its velocity, v, or 1/2mv2. ... Relativistic kinetic energy is equal to the increase in the mass of a particle over that which it has at rest multiplied by the square of the speed of light.
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The kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
From equations of motion, the relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, s is
But from Newton’s second law of motion F = m a.
work done by the force, F is written as the following:
If the object is starting from its stationary position, that is, u = 0, then
From work and energy theorem, work done is equal to the change in the kinetic energy of the object.
w = (1/2) mv 2
If u = 0, the work done will be,
Thus the kinetic energy possessed by an object of mass, m and moving with a uniform velocity, v is
K.E = (1/2) mv 2
HOPE YOU UNDERSTAND