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Prove that KE =1/2mv2 is dimensionally correct pls help me I will make you brainliest

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Answer:

For the KINETIC formula, Ek, is certainly the energy of a mass, m, MOTION, of course, is v²

Ek = 1/2 mv²

Ek = Kinetic energy

m = mass of the body

v = velocity of the body

kinetic energy formula derivation :

Let us consider the EXAMPLE of an OBJECT of m

which is at a state of rest on a table.

A force Facts on the object which moves it through a distance S.

The work done=FxS

W=Fnet x S---(1)

Consider the work done on the object which results in a change in velocity from u to V. Furthermore, one must let "a" be the acceleration.

Considering the third equation of motion:

V²-u²=2as

s=V²-u²/2a----(2)

Applying Newton's Second law:

F=ma--(3)

W=ma*(V²-u²/2a)\=(1/2)m(V²-u²)

As the object in a state of rest, u=0

W=(1/2)m V²

Furthermore, the kinetic energy of a body

moving with a certain velocity is equal to work done on the object. This work is for the purpose of ACQUIRING that velocity from the estate of rest.

Therefore, Kinetic energy =1/2 mV²

Explanation:

gonna be honest this is copied from someone else who answered this question somewhere else

i hope its useful tho



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