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If'mis the mass of the particle, the kinetic energy at displacement x is mo (a -x). Write down the expressions for the potential energy at displacement x, and the total energy.

If'mis the mass of the particle, the kinetic energy at displacement x is mo (a -x). Write down the expressions for the potential energy at displacement x, and the total energy.

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(c) Ifmisthe mass of the particle, the kinetic energy at displacement x is mo? (a -x). Write down the expressions for the potential energy at displacement x, and the total energy. (d) The total enéếrgy of an atom oscillating in a crystal lattice at temperature Tis, on average, 3kT, where k is the Boltzmann constant 1.38 x 10 2 JK. Assuming that copper atoms, each of mass 1.06 x 10-25 kg, execute simple har- monic motion of amplitude 8 x 10-"m at 300 K, calculate the corresponding frequercy. (0]
Transcribed Image Text:(c) Ifmisthe mass of the particle, the kinetic energy at displacement x is mo? (a -x). Write down the expressions for the potential energy at displacement x, and the total energy. (d) The total enéếrgy of an atom oscillating in a crystal lattice at temperature Tis, on average, 3kT, where k is the Boltzmann constant 1.38 x 10 2 JK. Assuming that copper atoms, each of mass 1.06 x 10-25 kg, execute simple har- monic motion of amplitude 8 x 10-"m at 300 K, calculate the corresponding frequercy. (0]
The displacement-time equation for a particle moving with simple harmonic mo- tion is x = a sin (ot + e) (a) Explain what each of the symbols represents, illustrating your answer with a rough graph showing how x varies with t. (b) Write down the velocity-time equation, and draw a corresponding graph show- ing how the velocity v varies with t.
Transcribed Image Text:The displacement-time equation for a particle moving with simple harmonic mo- tion is x = a sin (ot + e) (a) Explain what each of the symbols represents, illustrating your answer with a rough graph showing how x varies with t. (b) Write down the velocity-time equation, and draw a corresponding graph show- ing how the velocity v varies with t.
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