343_Physics ProblemsTechnical Physics

343_Physics ProblemsTechnical Physics - Chapter 11 P11.50(a...

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Chapter 11 345 P11.50 (a) Angular momentum is conserved: mv d Md m d mv Md md i i 2 1 12 2 6 3 2 2 =+ F H G I K J F H G I K J = + ω (b) The original energy is 1 2 2 mv i . The final energy is v i (a) O (b) d m O FIG. P11.50 1 2 1 2 1 12 4 36 3 3 23 22 2 2 IM d md mv Md md mvd Md md ii F H G I K J + = + af . The loss of energy is 1 2 3 2323 2 2 mv Md md mMv d Md md i + = + and the fractional loss of energy is mMv d Md md mv M Mm i i 2 2 2 3 + = + . P11.51 (a) Lm v r m v v d i = F H G I K J 111 222 2 2 L L i i = =⋅ 2750 500 3750 .. . kg m s m kg m s 2 bg b g (b) Km v m v iii 1 2 1 2 11 2 2 K i = F H G I K J = 2 1 2 75 0 5 00 1 88 2 . kg m s kJ b g FIG. P11.51 (c) Angular momentum is conserved:
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