444_Physics ProblemsTechnical Physics

444_Physics ProblemsTechnical Physics - 446 P15.16...

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446 Oscillatory Motion P15.16 m = 200 g, T = 0250 . s , E = 200 J ; ω ππ == = 22 25 1 T . . rads (a) km = 2 2 0200 126 k g 2 5 . 1 r a d s N m bg (b) E kA A E k =⇒ = = = 2 2 2 2200 126 0178 . . af m P15.17 Choose the car with its shock-absorbing bumper as the system; by conservation of energy, 1 2 1 2 mv kx = : vx k m × × = 316 10 500 10 10 223 2 6 3 . . . m m s ej P15.18 (a) E kA × = 2 2 2 2 250 3 50 10 2 0153 Nm m J . . (b) vA max = where = k m 250 0500 22 4 1 . s v max . = 0784 ms (c) aA max .. . × = −− 1 2 350 10 224 175 s m s 2 P15.19 (a) Ek A × = 1 2 1 2 35 0 4 00 10 28 0 2 . m m J (b) x k m Ax =− = . v = × ×− ×= 35 0 50 0 10 4 00 10 1 00 10 1 02 3 2 2 2 2 . . . ms (c) 1 2 1 2 1 2 1 2 35 0 4 00 10 3 00 10 12 2 2 2 2 2 2 mv kA kx =−= × − × L N M O Q P = . . a f mJ (d) 1 2 1 2 15 8 kx E mv = . m J P15.20 (a) k F x = 20 0 100 . N 0.200 m ±Nm (b) k m 50 0 r ads s o f π 2 113 H z (c) max . = 50 0 0 200
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