from June2011
Mechqnics
Nqme
3t redits of 85 possible
or 4( % of tesr
Part A
Answer all questions in this part.
_
Directions(l-S5): For eachstatementor question,write in your answerbooklet the number of the word
or expressionthat, of thosegiven,best completesthe statementor answersthe question.
I Scalaris to vector as
(l) speedis to velocity
(2) displacementis to distance
(3) displacementis to velocity
(4) speedis to distance
ZIf a car acceleratesuniformly from rest to
15 meters per second over a distance of
100. meteri the magnitude of the car's
is
acceleration
(1) 0.15m/ss
(2) 1.1m/sz
(3) 2.3 m/s2
(4) 6.7 rn/sz
3 An object acceleratesuniformly from 3.0 meters
per se-cond
eastto 8.0 metersper secondeastin
2,0 seconds.What is the magnitude of the
accelerationof the obiect?
(3) 5.5 m/s2
(1) 2.5 mis2
(4) 11 m/s2
(2) 5.0 n/sz
4 A rock is dropped from a bridge. What happels
to the magttitrde of the acceleration and the
speedof the rock as it falls? fNeglectfriction.]
(1) Both accelerationand speedincrease'
(2) Both dcceleration and speed remain the
same.
(3) Accelerationincreasesand speeddecreases.
(4) Acceleration remains the same and speed
, increases.
5 A soccerball kicked on a level field has an initial
vertical velocity componentof 15.0 meters per
second. Assuming the ball lands at the same
height from whicliit was hcked, what is the total
time the ball is in the air? fNeglectfriction.]
(1) 0.65as
(2) 1.53s
(3) 3.06s
(4 ) 6 ,1 2s
6 A student is standing in an elevator that is
accelerating downward. The force that the
student exerts on the floor of the. elevator must
be
(1) lessthan the weight of the studentwhen at
rest
(2) greaterthan the weight of the student when
at rest
(3) lessthan the force of the floor on the student
(4) greater than the force of the floor on the
student
7 The magnitude of the centripetal force acting on
an oblect traveling in a horizontal, circular path
vnll decreasaif the
(1) radiusof the path is increased
(2) massof the object is iqcreased
(3) direction of motion of the object is reversed
(4) speedof the object is increased
8 Thg centripetal force acting on the spaceshuttle
as it orbits Earth is equal to the shuttle's
(3) velocity
(l) inertia
(4) weight
(2) momentum
30. metersacrossa horizontal
9 As a box is pushed
floor by ^ constant horizontal force of
25 newlons, the kinetic energy of the box
increasesby 300.joules.How much total internal
energyis producedduring this process?
( 1 ) 150J
( 2) 250I
( 3 )4 5 0 I
(4) 75oI
10 What is the power output of an electric motor
that lifts a'2.0-kiloglam block t5 meters
verticallyin 6.0 seconds?
( 1 ) 5.0J
( 2) 5.0w
(3) 4eJ
(4) 4ew
1 1 Four identical projectiles are launchedwith the sameinitial speed,r:, but at various anglesabovethe level
ground. W!,i"! diagram represents the initial velocity of the projectile that will have the largest total
horizontal displacement?[Neglect air resistance.]
Levelground
( 1 )
Levelground
Levelground
(2)
(3)
Levelground
(4)
12 Two forces act concurrently on an object on a horizontal, frictionless surface, as shown in the diagram
below.
Horizontal.
frictionless
surface
What additional force, when applied to the object, will establishequilibriumP
(1) 16 N toward the right
(3) 4 N toward the right
(2) t0 N toward the left
(4) 4 N toward the left
13 As shown in the diagram below, an open box and its contents have a combined mass of 5.0 hlograms.
A horizontal force of 15 newtons is required to push the box at a constantspeedof 1.5 meters per second
acrossa level surface.
v = 1.5m/s
Box
..''''.....-..._
F=15N
Levelsurface
The inertia of the box and its contents increasesif there is an increasein the
(1) speedofthe box
(2) massof the contentsof the box
(3) magnitude of the horizontal force applied to the box
(4) coefficient of kinetic friction between the box and the level surface
T4 Which statement describesthe hnetic energy and total mechanical energyof a block as it is pulled at
constantspeedup an inclineP
(l) Kinetic energydecreasesand total mechanicalenergyincreases.
(2) Kinetic energy decreasesand total mechanical"ner[i, remainsthe same.
(3-l Sinetic energy remains the sameand total mechani6alenergy increases.
(4) Kinetic energyremains the sameand total mechanicalener$ remains the same.
Part B-1
Answer all questions in this Part'
or question,write in your answerbooklet thenumber of the word
Direc-tions(86-S0):For eachstatement
the question'
or expressionthat, of thosegiven,best completesthe statementor answers
36 What is the approximatediameter of an inflated
basketball?
( 3 )2 x 1 0 o m
(1)2xl0-2m
'(4)
2xI0rm
( 2 ) 2 x 1 0 - 1m
39 A child pulls a wagon at 1 goptan! velocity {ong
a level sidewalk.The child does this by applyng
a 22-newton force to the wagon handle, which is
inclined at 35o to the sidewalkas shown below
37 The graph below showsthe relationshipbetween
the sleed and elapsedtime ^foran object falltng
freely from rest near the surfaceof a planet'
Speedvs. Time
10.0
8.0
Levelsidewalk
a
E 6.0
t,
What is the magnitude of the force of friction on
o 4 .0
o
the wagon?
( 1 ) 1 1N
(2) 13N
CL
a
2.O
1 .0 2 :O 3 .0 4 .O
Time (s)
What is the total distance the object falls during
the first 3.0 seconds?
( 1 ) 1 2m
(2) 24 m
(3) 44 m
(4 72m
38 A 75-kilogram hockeypfayer is skating?"]9-:t th"
ice at u sieed of 6'0-metersPer second'What is
the magriitude of the averageforce required to
stop thJ player in 0.65 second?
( 1 ) 1 2 0N
(2) 2e0 N
(3) 6e0N
(4) e2oN
(3) 18 N
(4) 22 N
40 The diagram below shows the arrangement of
three smlal spheres,A, B, and-C,having*Tg"t
of 39, q, and"q,respectively'SpheresA and C are
locateddistancer from sPhereB'
A
3q.
B
q.
c
qo
Compared to the magnitude of the electrostatic
for"" exerted by spf,ere B on sphere C' the
magnitude of the eiectrostatic force exerted by
sph-ereA on sphere C is
o
(3) i asgreat
(1) the same
(2) twice as great
(4) f as great
graph represents the relationship
4 L A space probe is launched_into space from Earth's surface. w\i+
be#een ihe magnitude of the graitational force exerted on Earth by the spaceprobe and the distance
between the spaceprobe and the center of Earth?
Distance
Distance
Distance
Distance
( 1 )
(2)
(3)
(4)
42 Which graph representsthe relationshipbetrveen^theglavitationalpotential energy(CPE) of an object near
the surlac6 of Earth and its height abovethe surfaceof Earth?
rLrV
1LLLL
-L
Height
Height
Height
Height
( 1 )
(2)
(3)
(4)
'
Part B-2
Answer all questions in this Part'
provided in your answerbooklet'
Directi,ons(51-65): Record your answersin the spaces
the bank
5L-52 A 0,SO-kilogramfrog is at rest on
leaps
frog
th9
As
,rrrrorrndirrg"" pottd 5f water'
the
of
from the" bank, the magnitude
acceleration of the frog is 3'0 meters per
,""o.td2. Calculate the rnagnitude of the net
force exerted on the frog aJ it leaps' lshow all
work, inclu&ng the equation and substitution
with units.l lzl
Base your answersto questions 53 through 55 on
the information below.
A student and the waxed skis he is wearing
h"rr" " "o*binedweight of 850 newtons'The sher
travels down u ,rro*I"o. ered hill and then glides
to the east across a snow-covered' horizontal
surface.
D.t
Determine the magnitude of the normal force
"*"*"d by the ,rru:* ott the shs as the sher
gtiaut ""ros the horizontal surface' [t]
54*-55Calculate the magnitude of the force of friction
"",i; on the ,hJ "s the skier glides acrossthe
."o*l"o""ted, horizontal surface' lShow all
work, including the equation and substitution
with units.l lzl
DO-D J
Calculatethe hnetic energy of a particle with a
3.34 x 10-27htoE;am and a sP-eedof
;;;;;a
2.89 x 105metersper second' lShow all work'
i""f"ai"g th" "q"ation and substitution with
units.l [z]
58 A simple circuit consistsof a lO0'-ohm resistor
"orrrr"it"d to a battery' A 25-ohm resistor is to
b" "orrrr""ted in the circuit' Determine the
smaltest equivalent resistance.possible when
both resistorsare connected to tlie battery' lt]
59 The graph below -represents the relationship
bemJen the work done by a Personand time'
Time
Identify the PhYsicalquantity rePresentedby
the slope of the graPh' ltl
Part C
Answer all questions in this part.
Directions (66-S5): Record your answersin the spacesprovided in your answerbooklet.
Baseyour answersto questions66 through 69 on the information and diagram below.
A model ailplaneheadsdue eastat 1.50metersper second,while the wind blows due north at
0.70 meter per second.The scaleddiagrambelow r6presentsthesevector quantities.
N
t
W+|--+E
o
I
E
o
tcj
S
1.50m/s
66 using a ruler, determinethe scaleusedin the vector diagram. Ir]
67 On the diagramin your anslDerbooklet,,usea protractor and a ruler to constructa vector to represent
the resultantvelocityof the aiqplane.Label th6 vector R. Ir]
68 Determine the magnitudeof the resultantvelocity. [r]
69 Determine the anglebetweennorth and the resultantvelocity,
Ir]
Baseyour answersto questions70 through 73 on the information below
A vertically hy"g spring tras a spring constant of 150. newtons per meter. A
2.O0-hlogrammassis suspendedfrom the qprin[ and allowedto come to rest.
70-7I Calculatethe elongationof the
2.00-hlogrammass. [Show all
_springproduced-bythe_suspended
work, including the equationandiubstilution with units.] t;]
72-73 Calculate the total
^elastic-potential energy stored in the spring due to the suspended
2.00-hlogrammass.[Showall *ork, includingIhe equationand subititufon with units.]
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