At time t i , the kinetic energy of a particle is 33.0 J and the potential energ
ID: 1345994 • Letter: A
Question
At time ti, the kinetic energy of a particle is 33.0 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 15.0 J.
(a) If only conservative forces act on the particle, what are the potential energy and the total energy at time tf?
(b) If the potential energy of the system at time tf is 23.0 J, are there any nonconservative forces acting on the particle?
No. The loss in potential energy and the gain in kinetic energy of the system are equal.Yes. The gain in potential energy and the loss in kinetic energy of the system are not equal. No. The gain in potential energy and the loss in kinetic energy of the system are equal.Yes. The loss in potential energy and the gain in kinetic energy of the system are not equal.
(c) Explain your answer to part (b).
Explanation / Answer
a) Total energy = KE + PE = 33 + 9 = 42 J .........Ans
and from energy conservation , total energy will be constant.
so 42 = KE + PE
42 = 15 + PE
PE = 27 J .............Ans
b) Yes, PE must be equal to 27J .
Yes. The gain in potential energy and the loss in kinetic energy of the system are not equal.
c) PE must be equal to 27J
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