Physics 205A Quiz 6, fall semester 2015
Cuesta College, San Luis Obispo, CA
A 0.40 kg mass attached to a horizontal spring oscillates with an amplitude of 0.20 m. Ignore friction/drag. This mass-spring system has zero translational kinetic energy at:
(A) x = 0.
(B) x = +0.20 m.
(C) (Both of the above choices.)
(D) (None of the above choices.)
Correct answer (highlight to unhide): (B)
Since there is no work done on or by this mass-spring system, its total mechanical energy is a constant:
E = KEtr + PEelas,
E = (1/2)·m·v2 + (1/2)·k·x2.
If there is zero translational kinetic energy, then KEtr = 0, and the total mechanical energy is solely comprised of elastic potential energy, which would be a maximum at x = +0.20 m (as well as at x = –0.20 m).
(If there is zero elastic potential energy, then PEelas = 0, and the total mechanical energy is solely comprised of translational kinetic energy, which would be a maximum at x = 0.)
Sections 70854, 70855, 73320
Exam code: quiz06m45S
(A) : 10 students
(B) : 63 students
(C) : 0 students
(D) : 0 students
Success level: 85%
Discrimination index (Aubrecht & Aubrecht, 1983): 0.26
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