Question

What is the formula for calculating kinetic energy?

Answer 1

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 :

$v^2-u^2=2as$

So, $s=\dfrac{v^2-u^2}{2a}$...............(1)

If a force (F = m a) is applied to it then the work is done by it. It is given as :

$W=m\times a\times s$

$W=ma\times \dfrac{v^2-u^2}{2a}$

$W=\dfrac{1}{2}m(v^2-u^2)$

If u = 0

then, $W=\dfrac{1}{2}mv^2$

From work energy theorem, the work done is equal to the change in kinetic energy.

$E_k=\dfrac{1}{2}mv^2$

The kinetic energy is possessed due to the motion of an object.

Hence, this is the required solution.

Answer 2

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.