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centripetal force (F) = - k/r2
F = - dU/dr ( U = potential energy )
kdr/r2 = dU
integratin we get U = -k/r
F = mv2/r = k/r2 ( -ve sign neglected bcoz it just indicates the direction )
mv2 = k/r
kinetic energy = 0.5mv2 = k/2r
total energy = KE + PE = -k/2r
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