Phys207W09
Quiz
UD 6
Name
A A SIN-en 4.4/
You must show all of your work for credit. Include units with your numerical answers. _j__ , /m , P' iL,,,, , [3] Find the center of mass of the object shown below. /* , ("Z --(-- (rt,
?-' f-- pt
T)
er-2. = 33-'7 +60it
A /
=b 1 = 6-2. A (9_ "
A,
63"
2.
17\2 A 2-
Lty vm-t-
_ I z_
a `646
m
+9))
_22
f
rc, = Li
3
-f--
+ 13 I 2. ), 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 =3v0 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. 9 Vo Momentum is conserved in the x and y directions. V
rfrin2, +-M3
.3 ()
-+Pla Y3 '--- itiWo
-
"D-"
I-0
CD 2-
S
/0 el ;1-7331
r-%; 0
V3 sN
(avo:;) _,,
-t- -
(3 VI) + p4,3
5
_Q71, S
V 3
UD Phys207W09
Quiz 6
Name
You must show all of your work for credit. Include units with your numerical answers [3] Find the center of mass of the object shown below. (1.rn_ -1A4 " 1\2
(\co.,
(
r,
(9-,
6 Lluyi,(11, A
3tt
(y\ -_-_. AA-2. 7-
cilunsts2,-Az=
/1A
rrp,
* 344
WO IrCcv- , in some coor inate system, traveling at a velocity of vo=voj [7] An airp ane o 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 =(2/5)M had a velocity of v1=-3v0 i immediately after the explosion and the other piece with a mass of m 2 =(1/5)M had a velocity of v2 =5v0 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. Momentum is conserved in the x and y directions. Ir ,
ri-m z +111 =AA 3 PI3 =frt C 5-
-trviS/. -W13 V3
-f(svolj-
--f-v
= /*)(7
V
3
3