105old Exam2 Solutions
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7/17/2019 105old Exam2 Solutions
http://slidepdf.com/reader/full/105old-exam2-solutions 1/6
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7/17/2019 105old Exam2 Solutions
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1 .
This is to
identify the exam version you
have
-
IMPORTANT
Mark the A
2.
This is to identify the
exam version you
have
-
IMPORTANT
Mark the B
3 .
n
(
If the
only
forces
acting
on
a 2.0-kg
massare F,
=
(3i
-
8j) N and
F,
=
(5i
+
3j) N, what is
the mamitude of the acceleration
f the
mass?
*s) '' {'1-i
. 1 .5
m/S-
iat
=l'?
=
tn
n(5.
4.
^
H
l l
h
A block is
pushed up a frictionless
30' incline by an
applied
force as
shown. If f
=
25
N
and M
=
3.0 kg, what is
the magnitude
of the resulting total acceleration
[we
have
vity, tool of the block?
3a
t.u
2d '
tr
a
a.
b.
c.
q .
e.
.,.tf
th1
,.;-7=,G
f / , ) rv/ s
4.6m/s2
J.5 m/
s -
2.9 rn/
s2
5.1
m/
S-
5 .
' t 1
\,
An astronaut
[m
=
81.6kg] lifts
off from planet Zuton
in a spaceship. The free-fall
accelerationn Zuton s 3.0m/s2 (down).At the momentof liftoff the accelerationf
h
Bzn
o*
=
h -
3 2 ,
t " -
I
Jr^,*
b .
c,
d.
the
spaceship is 0.50m/gf{gn).
\A4rat s
the magnitude
of
the force
of
the
spaceship on
the astronautl
I
l-C
nct
fdrp
€ : F
* . t r t ' Q
0.20 N
0.37 N
al
,_(
a ,
f
z
7/17/2019 105old Exam2 Solutions
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b .
1
7
The horizontal
surface
on
which
the objects
slide
s frictiorLless.f M
=
1.0kg and the
magnitude
of
the force
of the small block
on the large block
is
5.2 N, determine F.
:
f Zv
=74
'IVrre
b .
d.
e,
6.0N
&
.8N
4.1N
Z E
2n,W
=
(zn te
{ . s . 2
CI
r/
7.
c,
Two bodies,A
and B, collide as
shown in Figuresa and b below.
t o t
a t u
. t u
(a )
(b)
Which statement s true?
a. They exert
equal and opposite orces
on eachother
n
(a)
but not in
(b).
a,
They
exert equal and
opposite
orce
on each
other
n
(b)
but not in
(a).
I
They
erert equaland
opposite
orce
on
each
other
n both
(a)
and
(b).
9i
d. The
forcesare
equal and opposite o
eachother
n
(a),
but
only
the
components
of the forces
parallel to the velocitiesare
equal n
(b).
e. The
forcesare
equal
and
opposite n
(a),
but
only
the
componentsof
the forces
perpendicular to the velocities
are equal n
(b)
8.
0
Threeboxes
slide on a frictionlesshorizontal
surfacewhen pulled by a force of
magnitude F. When
we cornpare he tensions
I
and T, with the force F, we find ihat
a.
b .
'1-
- ' , t ' -
E
T t = F > T z
F > T r = T r .
L > 1 1 > 1 2 . V
F T 1 < 7 1 - T 2 .
c ,
)
e,
a
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9.
.7
A roller-coaster
ar has a mass
of 500kg
when fully loaded with
passengers. he car
passes ver a hill
of radius 15 m, as
shown.
At the top of the hi1l, he car has a
speedof
(
a,
b .
7.0kN up
7.0kN down
2.8kN
down
a ' < - - \ ' \
<_rykNrd)
5.6kN down
L& na"( ;
. - L
t B ' n t
= z t g J
\t€
zc"
1*'n
Fo
=
n^:6
=
?2oo
0
t J [qztz^Lt3J,tu n,a,1
c.
d.
td.a
t4ztlr
10.
{
" l
1
a.
b .
:N
o .
ever).where
he same
at the top
at the bottom
l o f r r n r l t i o h t^_" __'- _ ' t t_
"
4n
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1 1 .
c
An objectmoving along the :r axis s acted
upon by a force
F, that varies with
position
as
shown.
How much
work
is
done bv this force as he obiectmoves
rom
x = 2 r r . t o x = 8 r n ?
r,
(N)
",. . . . ' -* '7L
L)=
:
fin,
<r
*
?ol
x *
= ( , gz?=
4D'.
(
30'tt
J
a.
b.
@
d.
e.
- 1 0
T
+10
+30
-30
J
+40 T
1,2.
q
A 10-kg
block on a horizontal frictionless
surface s attached o a
llght
spring
(force
constant
=
1.2
kN/m). The block is initially at rest at its equilibrium
position
when a
force
(magnitude
P)
acting parallel to the
surface
s appl ied to the block, as shown.
When
the block is
8.0cm from the equilibrium
position,
t has a
speed
of 0.80m/s.
How much work is done
on the block by the force P as he block moves the 8.0 cm?
r(/et,
l*ts
&
,i)
=
lj,"p
r
I
u l *
tQ
+p
* Q
+Dp
I
=1'
0
a.
D .
d.
8 3 1
,
I
llro.
t
)
k x *
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13.
E
a.
I
c.
d .
Carts A and B have equal masses nd travel
equal distances
D
on side-by-sidestraight
frlctionless
racks while a constant orce F
actson
A and a
constant
orce 2F actson
B.
Both
carts start
fuom
rest. The velocitiesvo and vu
of
the bodies at the end of distance
D
are related by
ft:
tr
*>
1,4)
E
2p
*>2rJ
v u = 2 v o ,
vA
=
2vB.
tu
=
1p
.,ro.
*.,
/a
-)
v
.-',1rr
-)
'r{
v
*r = '+ r/r
1.4.
?
A champion athlete
can produce one horsepower
(746
W) for a short period of time.
If
a athletewere to bicycle
[70-kg
combined athlete+ bike] to the summit of a 500m high
mountain while expending
power
at this rate,
she would
reachJhe
sumrnit
in ho,rv
a
any
seconds?
a. 1
1000
35000
L l + a 6
P
7
d.