Question

What is the formula for calculating kinetic energy?

KE = mv2
KE = 2mv2
KE = m2v
KE = 2m2v

Answer 1

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.

Answer 2

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=(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* a* s`

`W=ma* (v^2-u^2)/(2a)`

`W=(1)/(2)m(v^2-u^2)`

If u = 0

then,
`W=(1)/(2)mv^2`

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

`E_k=(1)/(2)mv^2`

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

Hence, this is the required solution.