13. QC SA simple harmonic oscillator of amplitude A has a total energy E. Determine (a) the kinetic energy and Answer 1 lo 9 (b) the potential energy when the position is one-third the amplitude. E Answer (c) For what values of the position does the kinetic energy equal one-half the potential energy? Answer x = ± A * X (d) Are there any values of the position where the kinetic energy is greater than the maximum potential energy? Explain.

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Chapter12: Oscillatory Motion
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13. QC SA simple harmonic oscillator of amplitude A has a total energy E. Determine
(a) the kinetic energy and
Answer
1
9
(b) the potential energy when the position is one-third the amplitude.
E
Answer +
(c) For what values of the position does the kinetic energy equal one-half the potential energy?
Answer
x = ±₁
2
-A
3
(d) Are there any values of the position where the kinetic energy is greater than the maximum potential
energy? Explain.
Answer +
No; the maximum potential energy is equal to the total energy of the system. Because the total energy
must remain constant, the kinetic energy can never be greater than the maximum potential energy.
14. GP Review. A 65.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her body and to
Transcribed Image Text:13. QC SA simple harmonic oscillator of amplitude A has a total energy E. Determine (a) the kinetic energy and Answer 1 9 (b) the potential energy when the position is one-third the amplitude. E Answer + (c) For what values of the position does the kinetic energy equal one-half the potential energy? Answer x = ±₁ 2 -A 3 (d) Are there any values of the position where the kinetic energy is greater than the maximum potential energy? Explain. Answer + No; the maximum potential energy is equal to the total energy of the system. Because the total energy must remain constant, the kinetic energy can never be greater than the maximum potential energy. 14. GP Review. A 65.0-kg bungee jumper steps off a bridge with a light bungee cord tied to her body and to
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