Respuesta :
Kinetic energy is the energy possessed by an object having some mass and moving at some speed due to its motion. Kinetic energy is given as
KE = (0.5) m v²
where KE = kinetic energy
m = mass of the object in motion
v = speed of the object in motion.
it is a scalar quantity and has only magnitude and no direction.
Explanation :
An object is moving with initial velocity of u and its final velocity is v. If it covers a distance s moving with an acceleration a. So, the relation between them is :
[tex]v^2-u^2=2as[/tex]
So, [tex]s=\dfrac{v^2-u^2}{2a}[/tex]...............(1)
If a force (F = m a) is applied to it then the work is done by it. It is given as :
[tex]W=m\times a\times s[/tex]
[tex]W=ma\times \dfrac{v^2-u^2}{2a}[/tex]
[tex]W=\dfrac{1}{2}m(v^2-u^2)[/tex]
If u = 0
then, [tex]W=\dfrac{1}{2}mv^2[/tex]
From work energy theorem, the work done is equal to the change in kinetic energy.
[tex]E_k=\dfrac{1}{2}mv^2[/tex]
The kinetic energy is possessed due to the motion of an object.
Hence, this is the required solution.
