Question

what is relation between work and energy?

Answer 1

There is a strong connection between work and energy, in a sense that when there is a net force doing work on an object, the object's kinetic energy will change by an amount equal to the work done: Note that the work in this equation is the work done by the net force, rather than the work done by an individual force.
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Answer 2

W=Fs
w=mas
v^2-u^2/2as
s=v^2-u^2/2a-----1
substitute 1
W=m*v^2-u^2/2
as initial velocity is zero
W= KE
KE=1/2mv^2