At time ti, the kinetic energy of a particle is 34.0 J and the potential energy

Question

At time ti, the kinetic energy of a particle is 34.0 J and the potential energy of the system to which it belongs is 9.00 J. At some later time tf, the kinetic energy of the particle is 16.0 J. (a) If only conservative forces act on the particle, what are the potential energy and the total energy at time tf? POTENTIAL ENERGY IS: ______J TOTAL ENERGY IS : ______J (b) If the potential energy of the system at time tf is 23.0 J, are there any non conservative forces acting on the particle? CHOOSE: (a) Yes. The loss in potential energy and the gain in kinetic energy of the system are not equal. (b) Yes. The gain in potential energy and the loss in kinetic energy of the system are not equal. (c) No. The gain in potential energy and the loss in kinetic energy of the system are equal. (d) No. The loss in potential energy and the gain in kinetic energy of the system are equal.

Explanation / Answer

If all energy is conserved, the total energy in the system will remain the same. 34J + 9J = 43J total initially. PE+16J = 43 PE = 27J b PE+23J = 43 PE = 20J (b) Yes. The gain in potential energy and the loss in kinetic energy of the system are not equal.

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