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HW 15 - 12.84 A 10 g bullet traveling at 400 m/s strikesa...

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12.84 ] A 10 g bullet traveling at 400 m/s strikes a 10 kg, 1.0-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causingthe door to swing open. What is the angular velocity of the door just after impact? '1i~~ 1l~~~~~-k()Y) l.,awrJ ~ .' d ~_ \ 0 '""J Mb~t).a\'(~ 'f'0J ~ \c't..(j lA. b -;>.'1~CJ"rV)/ ~ {\f\~erl)oJ-\~~ ~1i'e.l)U)t.J;)Q--<) ~ L-:.I~ 'NOUJ I L -:.. 'h'Jb r. \9b " d ::.. tJ . t> \ 't-) ...,... ~a\J tV'Jh 'A' "0 -:. 4 \[ 0 rv') 'L / ..s T ~ 'I ck.c"'f -t ~ 'Iou.. \\~ 1.. J 1.. "' ..L 'r')d J + ~b !, t. ~ J... ?-\~~() 7'O~) + 0 - '3 - ~.,:>,-\ 'io W)L w~L- l: _ '-\ \[0 ¥'I'Ll j '1 . ~ '-\ '\( 0 I-<) 'L '). 1''L''ro-.J/~ ---
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o 12.85] A solid sphere of radius Ris placed at a height of 34 cm on a 15 slope. It is released and rolls, withou~ slipping, to the bottom. From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom? Can a circular hoop of different diameter be released from a height of 34 cm and match the sphere's speed at the bottom? Why not? ~, q~~ I I /1\'2.. / T 1.. + \ . -tv") \;Ii +- C0 i 'W1D::1 Y)\ ,}.. oL-.. 0 o ",pl..~O 0', 0~i: ~~ ~) . ~~~ ~.. C"- C' \ v"e\J.,'Q. Y' he:>\:) 1 ) "r0'd ~i -:: ~ (tw)~2.) 0'4' / ~ ~ L ~ D ~; 1...
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