A particle of mass `m` is describing a circular path of radius `r` with uniform speed. If l is the angular momentum of the particle about the axis of the circle then, the kinetic energy of the particle is:
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l = iw
K. E. =

=1/2 i w^2r^2
= 1/2 i (w^2/r^2)
K. E. =
=1/2 i w^2r^2
= 1/2 i (w^2/r^2)
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Answer:
L^2/2mvr
Explanation:
L = mvr
mv = L/r
kE = P^2/2m
= (L/r)^2/2m
= L^2/2mr^2
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