Question

Derivation of kinetic energy


I need the answer in 2 paragraphs

Answer 1

Answer:

Derivation of Kinetic Energy using Algebra

The kinetic energy derivation using only algebra is one of the best ways to understand the formula in-depth.

Starting with the work-energy theorem and then adding Newton’s second law of motion we can say that,

Derivation Of Kinetic Energy

Now, taking the kinematics equation and rearranging it, we get

Derivation Of Kinetic Energy

Combining the 2 expressions we get,

Derivation Of Kinetic Energy

Derivation Of Kinetic Energy

Explanation:

This is the correct answer .Hope it helps if not please comment I will try to find the solution

Answer 2

Answer:

Explanation:

Kinetic energy - The energy possessed by virtue of its motion is said to be kinetic energy.

K E = 1/2 mv^2

Derivation : We know that,

W = f x s          

but f = ma

W = mas    ….. (1)

By 3rd eqn of motion,

v^2 = u^2 + 2as

at rest, u=0

v^2 = 2as

as = 1/2 v^2

Substituting in eqn 1, we get,

W = 1/2 mv^2

Since work done is stored in kinetic energy.

so, K.E. = 1/2 mv^2