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problem13_25

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

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13.25: a) ( 29 = = × = = = - max 2 2 2 2 2 max . m/s 5.13 m) 10 0 . 18 ( Hz) 85 . 0 ( 2 ) 2 ( v A f A ω a π π m/s 961 . 0 2 = = πfA ωA . , m/s 57 . 2 ) 2 ( b) 2 2 - = - = x πf a x ( 29 m/s. 833 . 0 m) 10 0 . 9 ( m) 10 0 . 18 ( Hz) 85 . 0 ( 2 ) 2 ( 2 2 2 2 2 2 = × - × = - = - - π x A πf v c) The fraction of one period is ) 2 1 ( π arcsin ), 0 . 18 0 . 12 ( and so the time is × ) 2 ( π T arcsin 1 10 37 . 1 ) 0 . 18 0 . 12 ( - × = s. Note that this is also arcsin ω A x ) ( . d) The conservation of energy equation can be written 2 2 1 2 2 1 2 2 1 kx mv kA + = . We are given amplitude, frequency in Hz, and various values of x . We could calculate velocity from this information if we use the relationship
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