Question

Prove that Kinetic Energy = 1/2*m*v^2

Answer 1

Here is your answer :-
Kinetic energy equal to =1/2xmxv(square)
kinetic energy is equal to work done.
so, K.E=Work done
W=FxS
W=mxaxs ......(¡)
from the third equation of motions
v^2 - u^2=2as
suppose u=0
then,
v^2=2as
as=v^2/2.........(¡¡)
puuting (¡) in second equation
W=Mxv^2/2
hence K.E=1/2*M*V^2

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