SITUATION 1: Two blocks are sliding on a frictionless surface. A 2 kg block is
moving to the right at 5 m/s. Behind it a 3 k-gblock is_gpproaching, moving at 10 m/s
(toward the right). The blocks undergo a'{6tally elastic cotlision."find the velocities of
both blocks after the collision.
=----*>--
----'
DRAW A PICTURE OF THE BLOCKS BEFORE THE COLLISION and indicate their
velocity vectors.
f4
l0
f<
l}--
LAB
FRAME
5 q ls
l3-
DETERMINE THE CM VELOCITY
OF THE SYSTEM
Nr.!..n,r= yYr,!,\ Mr\-
5 vs*,r: l(t,.', +
:.- QO
!"u*' b
2f5\
TRANSFORM TO THE CM FRAME BY SUBTRACTING v"- FROM EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
+2
r;r---
CM
FRAME
::::
*l:
-
3
'^ls
+_-LE
COLLISIO
DRAW A PICTURE OF THE BLOCKS JUST AFTER THE COLLISION. Recall in
totally elastic collision the momenta reverse.
I
+5"ls
- 2 *ts
"-*[il
CM
FRAME
a
\;l___-+
\_j
TRANSFORM BACK TO THE LAB FRAME BY ADDING v.- TO EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
+fnr[.
LAB
FRAME
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t
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l\ ''15
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2:
SITUATION
Two blocks are sliding on a frictionless surface. A2kgblock is
moving to the left at 5 m/s. In front of i! er 3_.kgblockis a['proaching, moving at 10 m/s
(toward the right). The blocks undergo a totally elastic cotlGib-ri. Ripd the velocities of
-" --'-both blocks after the
collision.
--
DRAW A PICTURE OF THE BLOCKS BEFORE THE COLLISION and indicate their
velocity vectors.
qls
{tr,ql: --5
4-.- FJ
EF_"
LAB
FRAME
DETERMINE THE CM VELOCITY
OF THE SYSTEM
hr^!.u-=
5
vc".".
n^,vr+*?V.
./-\
I Ifto) r
2('-5;
:70
!.*r, =. Ll
TRANSFORM TO THE CM FRAME BY SUBTRACTING V"- FROM EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
*15
+b nl:
13-__.
CM
FRAME
::::
COLLISIO\
:::
COLLISIO\
=::::
-.1
<--H
COLLISIO\I ::::_QOLLISION
:::
DRAW A PICTURE OF THE BLOCKS JUST AFTER THE COLLISION. Recall in
totally elastic collision the momenta reverse.
-L'ls
._13]
cM
FRAME
'-"---l
tq
a
^
*'l5
|
l:J--'
TRANSFORM BACK TO THE LAB FRAME BY ADDING v"- TO EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
-z'"
LAB
l1
<"--L-il
FRAME
-(.
t
-2_
+ 13 "nl1
---a
-q
t
)3
SITUATION 3: Two blocks are sliding on a frictionless surface. A 2 kg block is
moving to the right at 5 m/s. Behind it 43eg-bloekisapproaehing, moving at 10 m/s
(toward the right). The blocks undergS'i totally inelastic collisio$ Find the velocity of
the combined block after the
"orr.r.on._,=-#
DRAW A PICTURE OF THE BLOCKS BEFORE THE COLLISION and indicate their
velocity vectors.
LAB
FRAME
DETERMINE THE CM VELOCITY
OF THE SYSTEM
fn}rth=V.
i
N\ie<\. cF
= =-tn+
z(s)
{.,n^. B
TRANSFORM TO THE CM FRAME BY SUBTRACTING V,- FROM EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
t 2 *ls
l-il_---*r:
l___"t
CM
FRAME
::::
-3 *ls
COLLNIO\
:::
COLLISIO
DRAW A PICTURE OF THE BLOCKS ruST AFTER THE COLLISION. Recall in
totally elastic collision the momenta reverse.
CM
FRAME
a
o *ll
[il
TRANSFORM BACK TO THE LAB FRAME BY ADDING V"- TO EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
LAB
FRAME
l:H
ll
i
tt
*ls
,l
3
€-
SITUATION 4: : Two blocks are sliding on a frictionless surface. A2kg block is
moving to the left at 5 m/s. In front of rf, a 3 kg block is approaching, moving at 10 m/s
(toward the right). The blocks underg{a totally inelastic collisio4. Find the velocity of
the combined block after the collision.
\
>__2
DRAW A PICTURE OF THE BLOCKS BEFORE THE COLLISION and indicate their
velocity vectors.
--J '*lJ
lo't:
LAB
FRAME
c
iE--'
<__l 2 J
DETERMINE THE CM VELOCITY
OF THE SYSTEM
t\
s ,!, \ rn.! 1
'{"\
3(r,f + zL-s)
5
Ln
q
TRANSFORM TO THE CM FRAME BY SUBTRACTING v.- FROM EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
* 6 'tr
CM
FRAME
:::: COLLISIO\:::
*H
-
r;l____r.-l
COLLISION
__::
q*\5
COLLISION ___::COLLISION
_=
DRAW A PICTURE OF THE BLOCKS ruST AFTER THE COLLISION. Recall in
totally elastic collision the momenta reverse.
.,, \t/CM
FRAME
E
a
D
TRANSFORM BACK TO THE LAB FRAME BY ADDING v"- TO EACH BLOCK.
Make sure you make the velocity vectors point in the correct directions.
ttil\:
LAB
FRAME
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t\