The potential energy of a particle under a conservative force field is given by U = 10 + (x – 4) 2 , where x is in meter. At x = 6 m, K.E. of particle is 10 J. Calculate the maximum kinetic energy of particle.
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Sol. When KE = 10 J
U = 10 + (6 – 4) 2 = 14 J
TME = KE + PE
= (10 + 14) J = 24 J
When KE is maximum PE is minimum
TME = KE max + PE min
24 = KE max + 10
KE max = 14 J
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