Question

derived the formula of kinetic energy plzz explain me​

Answer 1

Answer:

W=F×S

Explanation:

Kinetic energy is a simple concept with a simple equation that is simple to derive. Let's do it twice.

Derivation using algebra alone (and assuming acceleration is constant

Answer 2

Solution:

Kinetic Energy:

⇒ It is the energy due to motion of an object.

⇒ $\sf{K.E.=\dfrac{1}{2}\;mv^{2}}$

⇒ Let us consider an object of mass (m) initially at rest when external force (F) applied on it then it becomes displace during this process some word is to be done in the form of kinetic energy.

⇒ $\sf{\omega = F.s}$

⇒ $\sf{\omega=(ma).s\;\;\;\;....(1)}$

Now, from 3rd equation of motion,

⇒ v² = u² + 2as

⇒ v² = 0 + 2as

⇒ $\sf{as=\dfrac{v^{2}}{2}\;\;\;.....(2)}$

Now, put equation (2) in equation (1),

⇒ $\sf{\omega=(ma).s}$

⇒ $\sf{\omega=\dfrac{mv^{2}}{2}=K.E}$

Hence Proved!