KE=1/2mv^2 is dimensionally and correct
Answers
Answer:
Kinetic energy formula:
For the Kinetic formula, Ek, is certainly the energy of a mass, m, motion, of course, is v²
KE = 1/2 mv²
KE= 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