problem13_59

University Physics with Modern Physics with Mastering Physics (11th Edition)

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13.59: a) For SHM, the period, frequency and angular frequency are independent of amplitude, and are not changed. b) From Eq. (13.31), the energy is decreased by a factor of 4 1 . c) From Eq. (13.23), the maximum speed is decreased by a factor of 2 1 d) Initially, the speed at 4 1 A was ; 1 4 15 ωA after the amplitude is reduced, the speed is
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Unformatted text preview: ( 29 ( 29 1 4 3 2 1 2 1 4 2 ωA A A ω =-, so the speed is decreased by a factor of 5 1 (this result is valid at 4 1 A x-= as well). e) The potential energy depends on position and is unchanged. From the result of part (d), the kinetic energy is decreased by a factor of 5 1 ....
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