quiz6 - UD Phys207W09 Quiz 6 Name A A SIN-en 4.4 You must...

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UD Phys207W09 Quiz 6 Name A A SIN- e n 4.4/ You must show all of your work for credit. Include units with your numerical answers. iL,,,, _j__ /m , P' [3] Find the center of mass of the object shown below. /* , , , ("Z„ --(-- (rt—, ?‘ -' —f-- p t T ) er-2. = 3 3 -' 7 +60- it (9 _ " A / 63" 17\2 A, A 2- 2. =b 1 = 6 - 2. A Lty vm-t- a `646 _22 f _ I z_ m rc,„ = +9)) + 1 3 2. I ), A/ ( -"--) 3 j 011 33 [7] An airplane of mass M, in some coordinate system, traveling at a velocity of v„=voj suddenly explodes midair. The plane breaks up into 3 pieces, and from where the two pieces land they can tell that one piece with a mass m i =(1/5)M had a velocity of v1=-2v 0 i immediately after the explosion and the other piece with a mass of m 2 =-(2/5)M had a velocity of v 2 =3v 0 j immediately after the explosion . It turns out that this airplane was transporting a very valuable diamond, and it was stored in a safe located in the other piece of the plane that has yet to be found. Determine the velocity in unit vector notation of the final piece, v 3 , so that the final piece of the plane and hence the diamond can be found.
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