homework 08 – ALIBHAI, ZAHID
1
Latest unpenalized work: Mar 20 2007 Tues
day 05:00 (after this date you can not make
a perfect score).
Work cutoff: Mar 21 2007,
4:00 am.
Question 1
part 1 of 1
10 points
Two air blocks with masses 184 g and
184 g are equipped with identical springs
(
k
= 1560 N
/
m)
.
The blocks move toward
each other with identical speeds of 1 m
/
s on a
horizontal air track and collide, compressing
the springs.
184 g
1 m
/
s
1560 N
/
m
184 g
1 m
/
s
1560 N
/
m
Find
the
maximum
compression
of
the
spring attached to the 184 g mass.
Answer in units of cm.
Question 2
part 1 of 1
10 points
An object of mass
m
is moving with speed
v
0
to the right on a horizontal frictionless
surface, as shown, when it explodes into two
pieces. Subsequently, one piece of mass
36
41
m
moves with a speed
v
36
/
41
=
v
0
9
to the left.
m
v
0
before
36
41
m
v
0
9
5
41
m
v
5
/
41
after
What is the speed
bardbl
vectorv
5
/
41
bardbl
of the other piece
of the object?
1.
bardbl
vectorv
5
/
41
bardbl
=
77
5
v
0
.
2.
bardbl
vectorv
5
/
41
bardbl
=
41
36
v
0
.
3.
bardbl
vectorv
5
/
41
bardbl
=
1476
5
v
0
.
4.
bardbl
vectorv
5
/
41
bardbl
=
205
36
v
0
.
5.
bardbl
vectorv
5
/
41
bardbl
= 41
v
0
.
6.
None of these
7.
bardbl
vectorv
5
/
41
bardbl
=
41
5
v
0
.
8.
bardbl
vectorv
5
/
41
bardbl
=
46
36
v
0
.
9.
bardbl
vectorv
5
/
41
bardbl
= 9
v
0
.
10.
bardbl
vectorv
5
/
41
bardbl
= 5
v
0
.
Question 3
part 1 of 1
10 points
A gadget of mass 20
.
24 kg floats in space
without motion.
Because of some internal
malfunction, the gadget violently breaks up
into 3 fragments flying away from each other.
The first fragment has mass
m
1
= 6
.
45 kg
and speed
v
1
= 4
.
38 m
/
s while the second
fragment has mass
m
2
= 5
.
62 kg and speed
v
2
= 2
.
87 m
/
s. The angle between the veloc
ity vectors
vectorv
1
and
vectorv
2
is
θ
12
= 80
◦
.
What is the speed
v
3
of the third fragment?
Answer in units of m
/
s.
Question 4
part 1 of 1
10 points
A triangular wedge 5 m high, 15 m base
length, and with a 13 kg mass is placed on a
frictionless table. A small block with a 5 kg
mass (and negligible size) is placed on top of
the wedge as shown in the figure below.
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homework 08 – ALIBHAI, ZAHID
2
13 kg
15 m
5 m
5 kg
Δ
X
wedge
13 kg
15 m
5 m
5 kg
All surfaces are frictionless, so the block
slides down the wedge while the wedge slides
sidewise on the table. By the time the block
slides all the way down to the bottom of the
wedge, how far Δ
X
wedge
does the wedge slide
to the right?
Answer in units of m.
Question 5
part 1 of 1
10 points
Two masses undergo a fronttoback col
lision.
The masses are
m
1
=
m
, with ini
tial velocity 2
v
0
, and
m
2
= 7
.
8
m
, with ini
tial velocity
v
0
.
Due to the collision, they
stick together, forming a compound system.
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 Spring '08
 Turner
 Mass, Work, Velocity, kg, ZAHID Latest

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