Question

The potential energy of a particle under a conservative force field is given by U = 10 + (x - 4)², where x is in meters. At x = 6 m, the K.E. of the particle is 10 J. The maximum kinetic energy of the particle is ______ J.

विकल्प

• 11.00

• 12.00

• 13.00

• 14.00

Answer 1

The potential energy of a particle under a conservative force field is given by U = 10 + (x - 4)², where x is in meters. At x = 6 m, the K.E. of the particle is 10 J. The maximum kinetic energy of the particle is 14.00 J.

Explanation:

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