Import Settings: Base Settings: Brownstone Default Information Field: Difficulty Information Field: SectionDef Highest Answer Letter: E Multiple eywords in Same !aragraph: "o
#hapter: #hapter $
Multiple #hoice
$% &hich one of the following is an SI 'ase unit( A) gram B) slug #) newton D) centimeter E) *ilogram Ans: E Difficulty: Easy SectionDef: Section $+, and Section $+-
,% #omplete the following statement: .oday/ the the standard meter is defined in terms of A) the distance from the earth0s earth0s e1uator to the north north pole% B) the wa2elength of light light emitted from from a *rypton atom% atom% #) the wa2elength of light light emitted from from a sodium atom% D) a platinum+iridium platinum+iridium 'ar *ept in France% E) the speed speed of light% Ans: E Difficulty: Medium SectionDef: Section $+, and Section $+-
-% #omplete the following statement: .oday/ the the standard unit of mass is defined in terms of A) a specified 2olume 2olume of water at 3 4#% B) a standard platinum+iridium cylinder% #) a specified num'er of cesium atoms% D) a standard platinum 'ar% 'ar% E) the speed speed of light% Ans: B Difficulty: Medium SectionDef: Section $+, and Section $+-
3% #omplete the following statement: .oday/ the the standard unit of time is defined in terms of A) the electromagnetic wa2es emitted 'y cesium cesium atoms% B) the motion of the moon around the the earth% #) the motion of a precision pendulum% D) the a2erage solar day% day% E) the speed speed of light% Ans: A Difficulty: Medium SectionDef: Section $+, and Section $+-
5% .he mass of a raindrop is 3 milligrams% &hich one of the following statements indicates the correct mass of the raindrop in grams( A) .he raindrop has a mass of 3 6 $78 grams% B) .he raindrop has a mass of 3 6 $7 9- grams% #) .he raindrop has a mass of 3 6 $7 9$ grams% D) .he raindrop has a mass of 3 6 $7- grams% E) .he raindrop has a mass of 3 6 $7 98 grams% Ans: B Difficulty: Medium SectionDef: Section $+, and Section $+-
8% &hich one of the following is the longest length( A) $77 meters
B) #) D) E)
$7, centimeters $73 millimeters $75 micrometers $7 nanometers
Ans: # Difficulty: Medium SectionDef: Section $+, and Section $+-
% In a di2ing competition/ a woman di2es from a platform that is ten meters a'o2e the surface of the water% &hat is the height/ e;pressed in feet/ of the platform( A) $- feet B) $< feet #) ,3 feet D) -- feet E) 3 feet Ans: D Difficulty: Medium SectionDef: Section $+, and Section $+-
<% A candy shop sells a pound of chocolate for = $7%<5% &hat is the price of $%57 *g of chocolate at the shop( A) = <%$ B) = $-%3> #) = $%>< D) = ,>%E) = -5%<$ Ans: E Difficulty: Hard SectionDef: Section $+, and Section $+-
$ milligram >% #omplete the following statement: .he ratio $ *ilogram is e1ual to A) $7,% B) $7-%
#) $78% D) $7 9-% E) $7 98% Ans: E Difficulty: Medium SectionDef: Section $+, and Section $+-
$7% &hich one of the following choices is e1ui2alent to <%7 m,( A) <%7 6 $7 93 cm, B) <%7 6 $7, cm, #) <%7 6 $7 9, cm, D) <%7 6 $73 cm, E) <%7 6 $7- cm, Ans: D Difficulty: Hard SectionDef: Section $+, and Section $+-
$$% &hich one of the following pairs of units may not 'e added together/ e2en after the appropriate unit con2ersions ha2e 'een made( A) grams and milligrams B) *ilometers and *ilograms #) miles and *ilometers D) slugs and *ilograms E) centimeters and yards Ans: B Difficulty: Easy SectionDef: Section $+, and Section $+-
$,% &hich one of the following choices is e1ui2alent to 33%5 mm( A) 3%35 6 $7$ m B) 3%35 6 $7 9, m #) 33%5 6 $7 9$ m D) 33%5 6 $7 9, m E) 3%35 6 $77 m
Ans: B Difficulty: Medium SectionDef: Section $+, and Section $+-
$-% &hich one of the following choices is e1ui2alent to $5, m( A) $%5, 6 $7$ m B) $%5, 6 $7, m #) $%5, 6 $7 9$ m D) $%5, 6 $7 9, m E) $%5, 6 $77 m Ans: B Difficulty: Easy SectionDef: Section $+, and Section $+-
$3% In the sport of horseshoe pitching/ two sta*es are 37%7 feet apart% &hat is the distance in meters 'etween the two sta*es( A) ,3%3 m B) 3%<7 m #) $<%- m D) $,%, m E) $5% m Ans: D Difficulty: Medium SectionDef: Section $+, and Section $+-
$5% .he Boston Marathon is the oldest annual foot race/ in which those that finish complete a distance of ,8 miles/ -<5 yards% E;press this distance in *ilometers% A) $8%,>5 *m B) $8%->< *m #) 3,%$<8 *m D) 3,%35- *m E) 58%3>8 *m Ans: #
Difficulty: Medium SectionDef: Section $+, and Section $+-
$8% .he surface of a la*e has an area of $5%5 *m,% &hat is the area of the la*e in m,( A) $%55 6 $73 m, B) $%55 6 $75 m, #) $%55 6 $78 m, D) $%55 6 $7 m, E) $%55 6 $7< m, Ans: D Difficulty: Hard SectionDef: Section $+, and Section $+-
a
=
b
,
c % If the $% .he mathematical relationship 'etween three physical 1uantities is gi2en 'y @L dimension of b is? @. and the dimension of c is @L% &hich one of the following choices is the
dimension of a( A) @L @LA , B) @.A @LA
#) @.A D) @. , @LA , E) @.A
Ans: B Difficulty: Medium SectionDef: Section $+, and Section $+-
$<% .he distance d that a certain particle mo2es may 'e calculated from the e;pression d at C bt , where a and b are constants? and t is the elapsed time% &hat must the dimensions of the 1uantities a and b 'e/ respecti2ely(
@LA @LA / , @.A @.A A)
B) @L/ @L, @LA ,
/
@LA
#) @.A @.A , @LA @LA / @.A @.A, D) $ $ / , E) @.A @.A
Ans: A Difficulty: Medium SectionDef: Section $+, and Section $+-
$>% sing the dimensions gi2en for the 2aria'les in the ta'le/ determine which one of the following e;pressions is correct% 2aria'le f
dimension $ @.A
l
@L
g
@LA ,
@.A
g
f =
,π l A) B) f ,π gl
,π f
g =
#) ,π f =
D) E)
f
=
l l g
,π gl
Ans: # Difficulty: Hard SectionDef: Section $+, and Section $+-
,7% A certain physical 1uantity/ R/ is calculated using the formula: R 3a,b 9 c) where a/ b/ and c are distances% &hat is the SI unit for R( A) cm B) cm, #) m D) m, E) mAns: E Difficulty: Medium SectionDef: Section $+, and Section $+-
,$% &hich one of the following e;pressions may 'e used to correctly find the angle θ in the drawing(
5 = cos−$ ÷ , −$ 5 θ = tan ÷ , −$ , θ = sin ÷ 5 −$ , θ = tan ÷ 5 −$ 5 θ = sin ÷ , θ
A) B) #) D) E)
Ans: B Difficulty: Easy SectionDef: Section $+3
,,% .he length of each side of a s1uare is 3%7 m% &hat is the length of the diagonal of the s1uare shown as a dashed line in the figure)(
A) ,%< m B) <%7 m #) 5% m D) 8%< m E) $8 m Ans: D Difficulty: Medium SectionDef: Section $+3
,-% .hree stic*s are arranged to form a right triangle% If the lengths of the three stic*s are 7%3 m/ 7%8, m and 7%< m/ what are the three angles of the triangle( A) >74/ 354/ and 354 B) >74/ 8,4/ and ,<4 #) >74/ 5>4/ and -$4 D) >74/ 3<4/ and 3,4 E) >74/ 5-4/ and -4 Ans: E Difficulty: Medium SectionDef: Section $+3
,3% A -%7+m ladder leans against a wall and ma*es an angle with the wall of ,<4 as shown in the drawing% &hat is the height h a'o2e the ground where the ladder ma*es contact with the wall(
A) B) #) D) E)
,%8 m ,%- m ,%$ m $%> m $%8 m
Ans: A Difficulty: Medium SectionDef: Section $+3
,5% A pole is held 2ertically 'y attaching wires at a height of $-%3 m a'o2e the ground% .he other end of each wire is anchored in the ground at a distance of >%53 m from the 'ase of the pole% .he pole ma*es a right angle with the ground% &hat is the length of each wire( A) $3%$ m B) $>% m #) $$%5 m D) $8%3 m E) ,,%< m Ans: D Difficulty: Hard SectionDef: Section $+3
,8% A certain mountain road is inclined -%$4 with respect to the horion% &hat is the change in altitude of the car as a result of its tra2eling ,%>7 *m along the road( A) $5 m B) $<$ m #) $$8 m D) ,7- m E) ,<> m Ans: A Difficulty: Hard
SectionDef: Section $+3
,% A sur2eyor wants to find the distance across a ri2er% A sta*e is placed on each 'an* of the ri2er as shown in the figure% She measures a distance of -7%7 m from one sta*e to another on the same side of the ri2er/ thus finding the third 2erte; on a right triangle% She then measures the angle θ and finds it e1ual to 5%>4% &hat is the distance across the ri2er(
θ 30.0 m
A) B) #) D) E)
<>%, m $5%- m $$> m ,8< m ,>%7 m
Ans: # Difficulty: Medium SectionDef: Section $+3
,<% &hich one of the following choices is a 2ector 1uantity( A) mass B) temperature #) time D) displacement E) 2olume Ans: D Difficulty: Easy SectionDef: Section $+5 and $+8
,>% &hich one of the following 1uantities is a 2ector 1uantity(
A) B) #) D) E)
the age of the earth the mass of a freight train the earth0s pull on your 'ody the temperature of an iced coffee the num'er of people attending a soccer game
Ans: # Difficulty: Medium SectionDef: Section $+5 and $+8
-7% &hich one of the following statements is true concerning scalar 1uantities( A) Scalar 1uantities must 'e represented 'y 'ase units% B) Scalar 1uantities ha2e 'oth magnitude and direction% #) Scalar 1uantities can 'e added to 2ector 1uantities using rules of trigonometry% D) Scalar 1uantities can 'e added to other scalar 1uantities using rules of trigonometry% E) Scalar 1uantities can 'e added to other scalar 1uantities using rules of ordinary addition% Ans: E Difficulty: Medium SectionDef: Section $+5 and $+8
-$% .wo 2ectors A and B are added together to form a 2ector C % .he relationship 'etween the magnitudes of the 2ectors is gi2en 'y A C B C % &hich one of the following statements concerning these 2ectors is true( A)
A
and
B must
'e displacements%
B)
A
and
B must
ha2e e1ual lengths%
#)
A
and
B must
point in opposite directions%
D)
A
and
B must
point in the same direction%
E)
A
and
B must
'e at right angles to each other%
Ans: D Difficulty: Hard SectionDef: Section $+5 and $+8
-,% .wo 2ectors
A
and
B are
added together to form a 2ector
C%
.he relationship 'etween the
magnitudes of the 2ectors is gi2en 'y: A, C B, C ,% &hich statement concerning these 2ectors is true( A)
A
and
B must
B)
A
and
B could
#)
A
and
B must
ha2e e1ual lengths%
D)
A
and
B must
'e parallel%
E)
A
and
B could
'e antiparallel%
'e at right angles to each other% ha2e any orientation relati2e to each other%
Ans: A Difficulty: Medium SectionDef: Section $+5 and $+8
--% .hree 2ectors
A
/
B/
and
C add
together to yield ero:
A
C
B C C 0%
.he 2ectors
A
and C point in opposite directions and their magnitudes are related 'y the e;pression: A ,C % &hich one of the following conclusions is correct( A)
A
B)
B and C ha2e
e1ual magnitudes and point in the same direction%
#)
B and C ha2e
e1ual magnitudes and point in opposite directions%
D)
A
E)
B and C point
and
and
B ha2e
e1ual magnitudes and point in opposite directions%
B point
in the same direction/ 'ut in the same direction/ 'ut
A
has twice the magnitude of
C has
twice the magnitude of
B% B%
Ans: B Difficulty: Hard SectionDef: Section $+5 and $+8
-3% &hat is the angle 'etween the 2ectors origin( A) 74 B) >74 #) $<74 D) ,74 E) -874 Ans: # Difficulty: Easy SectionDef: Section $+5 and $+8
A
and 9 A when they are drawn from a common
-5% &hat is the minimum num'er of 2ectors with unequal magnitudes whose 2ector sum can 'e ero( A) two B) three #) four D) fi2e E) si; Ans: B Difficulty: Medium SectionDef: Section $+5 and $+8
-8% &hat is the minimum num'er of 2ectors with equal magnitudes whose 2ector sum can 'e ero( A) two B) three #) four D) fi2e E) si; Ans: A Difficulty: Easy SectionDef: Section $+5 and $+8
-% A physics student adds two displacement 2ectors with magnitudes of <%7 *m and 8%7 *m% &hich one of the following statements is true concerning the magnitude of the resultant displacement( A) It must 'e $7%7 *m% B) It must 'e $3%7 *m% #) It could 'e e1ual to ero *ilometers/ depending on how the 2ectors are oriented% D) "o conclusion can 'e reached without *nowing the directions of the 2ectors% E) It could ha2e any 2alue 'etween ,%7 *m and $3%7 *m depending on how the 2ectors are oriented% Ans: E Difficulty: Medium
SectionDef: Section $+5 and $+8
-<% A student adds two displacement 2ectors with magnitudes of 8%7 m and <%7 m/ respecti2ely% &hich one of the following could not 'e a possi'le choice for the resultant( A) ,%- m B) 8%8 m #) $7%7 m D) $,%< m E) $3%< m Ans: E Difficulty: Medium SectionDef: Section $+5 and $+8
->% .wo displacement 2ectors of magnitudes ,$ cm and > cm are added% &hich one of the following is the only possi'le choice for the magnitude of the resultant( A) 7 cm B) ,< cm #) - cm D) <, cm E) $$3 cm Ans: D Difficulty: Hard SectionDef: Section $+5 and $+8
37% &hich e;pression is false concerning the 2ectors shown in the s*etch(
A)
C = A
B)
C C A = 9 B
#)
A
C
C
B
B C C
7
D) C G A C B E) A , C B , C , Ans: A Difficulty: Hard SectionDef: Section $+5 and $+8
3$% #ity A lies -7 *m directly south of city B% A 'us/ 'eginning at city A tra2els 57 *m at -4 north of east to reach city #% How far and in what direction must the 'us go from city # to reach city B( A) ,7 *m/ west B) 37 *m/ west #) <7 *m/ west D) 37 *m/ east E) <7 *m/ east Ans: B Difficulty: Medium SectionDef: Section $+5 and $+8
3,% .own A lies ,7 *m north of town B% .own # lies $- *m west of town A% A small plane flies directly from town B to town #% &hat is the displacement of the plane( A) -- *m/ --4 north of west B) $> *m/ --4 north of west #) ,3 *m/ 54 north of west D) -$ *m/ 54 north of west E) 8%8 *m/ 374 north of west Ans: # Difficulty: Medium SectionDef: Section $+5 and $+8
3-% A runaway dog wal*s 7%83 *m due north% He then runs due west to a hot dog stand% If the magnitude of the dog0s total displacement 2ector is 7%>$ *m/ what is the magnitude of the dog0s displacement 2ector in the due west direction( A) 7%, *m B) 7%-- *m
#) 7%3$ *m D) 7%5, *m E) 7%85 *m Ans: E Difficulty: Medium SectionDef: Section $+5 and $+8
33% An escaped con2ict runs $%7 *m due east of the prison% He then runs due north to a friend0s house% If the magnitude of the con2ict0s total displacement 2ector is ,%57 *m/ what is the direction of his total displacement 2ector with respect to due east( A) 3-4 south of east B) 34 north of east #) 584 north of east D) -34 south of east E) -34 north of east Ans: B Difficulty: Medium SectionDef: Section $+5 and $+8
35% Four mem'ers of the Main Street Bicycle #lu' meet at a certain intersection on Main Street% .he mem'ers then start from the same location/ 'ut tra2el in different directions% A short time later/ displacement 2ectors for the four mem'ers are: A
,%7 *m/ east?
B
5%, *m/ north?
&hat is the resultant displacement C B C C C D ( 7%< *m/ south 7%3 *m/ 354 south of east -%8 *m/ -4 north of west 3%7 *m/ east 3%7 *m/ south
R A
A) B) #) D) E)
Ans: # Difficulty: Hard SectionDef: Section $+5 and $+8
R of
C
3%> *m/ west?
D
-%7 *m/ south
the mem'ers of the 'icycle clu':
38% A force/
F$ /
of magnitude ,%7 " and directed due east is e;erted on an o'ect% A second
force e;erted on the o'ect is
F,
,%7 "/ due north% &hat is the magnitude and direction of a
third force/ F- / which must 'e e;erted on the o'ect so that the resultant force is ero( A) $%3 "/ 354 north of east B) $%3 "/ 354 south of west #) ,%< "/ 354 north of east D) ,%< "/ 354 south of west E) 3%7 "/ 354 east of north Ans: D Difficulty: Hard SectionDef: Section $+5 and $+8
3% A sail'oat lea2es a har'or and sails $%< *m in the direction 854 south of east/ where the captain stops for lunch% A short time later/ the 'oat sails $%$ *m in the direction $54 north of east% &hat is the magnitude of the resultant displacement from the har'or( A) ,%- *m B) $%5 *m #) ,%> *m D) $%, *m E) 7%5> *m Ans: A Difficulty: Hard SectionDef: Section $+5 and $+8
3<% .hree 2ectors A / B / and C ha2e the following x and y components: A x $ m/ A y 7 m/ B x $ m/ B y $ m/ C x 7 m/ C y 9$ m According to the graph/ how are A /
B/
and
C com'ined
to result in the 2ector
D(
A)
D A
9
B 9 C
B)
D A
9
B C C
#)
D A
C
B 9 C
D)
D A
C
B C C
E)
D
9 A C
B C C
Ans: # Difficulty: Medium SectionDef: Section $+5 and $+8
3>% A displacement 2ector has a magnitude of <$7 m and points at an angle of $<4 a'o2e the positi2e x a;is% &hat are the x and y scalar components of this 2ector( x scalar component y scalar component A) 7 m ,57 m B) 587 m 5<5 m #) 5<5 m 587 m D) ,57 m 57 m E) $- m -<5 m Ans: A Difficulty: Easy SectionDef: Section $+
57% &hich one of the following statements concerning 2ectors and scalars is false( A) In calculations/ the 2ector components of a 2ector may 'e used in place of the 2ector itself% B) It is possi'le to use 2ector components that are not perpendicular% #) A scalar component may 'e either positi2e or negati2e% D) A 2ector that is ero may ha2e components other than ero% E) .wo 2ectors are e1ual only if they ha2e the same magnitude and direction%
Ans: D Difficulty: Medium SectionDef: Section $+
5$% A displacement 2ector is ,- *m in length and directed 854 south of east% &hat are the components of this 2ector( Eastward Component Southward Component A) ,$ *m >% *m B) ,- *m ,- *m #) ,- *m 7 *m D) >% *m ,$ *m E) 7 *m ,- *m Ans: D Difficulty: Easy SectionDef: Section $+
5,% .he x and y components of a displacement 2ector are 9-%77 m and C3%77 m/ respecti2ely% &hat angle does this 2ector ma*e with the positi2e x a;is( A) ,--4 B) $,4 #) 95-%74 D) 5-%74 E) -%74 Ans: B Difficulty: Medium SectionDef: Section $+
5-% A race car will ma*e one lap around a circular trac* of radius R% &hen the car has tra2eled halfway around the trac*/ what is the magnitude of the car0s displacement from the starting point( A) , R B) R #) π R D) ,π R
E) ero meters Ans: A Difficulty: Medium SectionDef: Section $+
53% A 'ug crawls ,%,5 m along the 'ase of a wall% pon reaching a corner/ the 'ug0s direction of tra2el changes from south to west% .he 'ug then crawls -%$5 m 'efore stopping% &hat is the magnitude of the 'ug0s displacement( A) 5%37 m B) ,%, m #) -%< m D) 3%$$ m E) -%,> m Ans: # Difficulty: Medium SectionDef: Section $+
55% During the e;ecution of a play/ a foot'all player carries the 'all for a distance of -- m in the direction 5<4 north of east% .o determine the num'er of meters gained on the play/ find the northward component of the 'all0s displacement% A) <%7 m B) $8 m #) ,3 m D) ,< m E) -, m Ans: D Difficulty: Hard SectionDef: Section $+
58% A 'ird flies ,5%7 m in the direction 554 east of south to its nest on a cliff% .he 'ird then flies 5%7 m in the direction 554 west of north to the top of a tree% &hat are the northward and westward components of the resultant displacement of the 'ird from its nest( northward westward A) ,> m 3$ m
B) #) D) E)
3$ m -5 m <$ m 5 m
,> m -5 m 5 m <$ m
Ans: A Difficulty: Hard SectionDef: Section $+
5% se the component method of 2ector addition to find the resultant of the following three 2ectors: A
58 *m/ east
B
$$ *m/ ,,4 south of east
C
A) B) #) D) E)
<< *m/ 334 west of south <$ *m/ $34 west of south > *m/ 8,4 south of east 5, *m/ 884 south of east 8< *m/ <84 south of east 88 *m/ %$4 west of south
Ans: D Difficulty: Medium SectionDef: Section $+<
5<% se the component method of 2ector addition to find the components of the resultant of the four displacements shown in the figure% .he magnitudes of the displacements are: A ,%,5 cm/ B 8%-5 cm/ C 5%3 cm/ and D 3%$> cm%
x component y component
A) B) #) D) E)
,%$> cm -%$ cm 5%35 cm $%7> cm 8%>- cm
98%>, cm 9$%7> cm 9,%<, cm 9-%$ cm 9,%$> cm
Ans: E Difficulty: Easy SectionDef: Section $+<
5>% A 2ector
F$ has
a magnitude of 37%7 units and points -5%74 a'o2e the positi2e x a;is% A
second 2ector F , has a magnitude of 85%7 units and points in the negati2e x direction% se the component method of 2ector addition to find the magnitude and direction/ relati2e to the positi2e x a;is/ of the resultant F F$ C F , % A) 5-%- units/ $3$%<4 relati2e to the C x a;is B) 5-%- units/ 5,%$4 relati2e to the C x a;is #) ->%8 units/ $,5%34 relati2e to the C x a;is D) ->%8 units/ 53%84 relati2e to the C x a;is E) 38%, units/ $-8%74 relati2e to the C x a;is
Ans: # Difficulty: Medium SectionDef: Section $+<
87% .wo 2ectors A and B / are added together to form the 2ector C A C B % .he relationship 'etween the magnitudes of these 2ectors is gi2en 'y: C x A cos -74 C B and C y 9 A sin -74% &hich statement 'est descri'es the orientation of these 2ectors( A)
A
points in the negati2e x direction while
B points
in the positi2e y direction%
B)
A
points in the negati2e y direction while
B points
in the positi2e x direction%
#)
A
points -74 'elow the positi2e x a;is while
B points
in the positi2e x direction%
D)
A
points -74 a'o2e the positi2e x a;is while
B points
in the positi2e x direction%
E)
A
points -74 a'o2e the negati2e x a;is while
B points
in the positi2e x direction%
Ans: # Difficulty: Hard SectionDef: Section $+<
8$% &hich one of the following answers would gi2e the correct num'er of significant figures when the following masses are added together: -%8 *g/ $$- *g/ and 3%$> *g( A) $,$ *g B) $,7%< *g #) $,7%> *g D) $%,7 6 $7, *g E) $,7%< 6 $7- *g Ans: A Difficulty: Easy SectionDef: Additional !ro'lems
8,% A physics te;t has 533 sheets $7<< pages) and is -3%- millimeters thic* 'etween the inside front co2er and the inside 'ac* co2er% &hat is the thic*ness of a single sheet( A) 8%-8 6 $7 93 m B) -%$8 6 $7 9, m #) 8%,< 6 $7 9- m D) %,3 6 $7 98 m E) 8%-7 6 $7 95 m Ans: E Difficulty: Hard SectionDef: Additional !ro'lems
8-% ustine and her friends e;it the physics classroom and wal* 7%7 *m to their math class% &hile wal*ing/ ustine0s a2erage step length is 5< cm% Appro;imately/ how many steps does she ta*e in wal*ing 'etween these two classes( A) -$7 B) ,7 #) $,77 D) -$77 E) ,77 Ans: # Difficulty: Medium SectionDef: Additional !ro'lems
Jeference: Jef $+$ .wo 2ectors/ A and B / are added together to form the 2ector C A C .he relationship 'etween the magnitudes of these 2ectors is gi2en 'y: C x 7 C y A sin 874 C B sin -74 A; and Ay point in the positi2e x and y directions/ respecti2ely%
B%
83% &hich one of the following statements 'est descri'es the orientation of 2ectors A and A)
A
and
B)
A
points 874 a'o2e the positi2e x a;is while
#)
A
points 874 a'o2e the negati2e x a;is while
B points
-74 a'o2e the positi2e x a;is%
D)
A
points 874 'elow the positi2e x a;is while
B points
-74 a'o2e the positi2e y a;is%
E)
A
points 874 'elow the positi2e x a;is while
B points
-74 'elow the positi2e y a;is%
B point
in opposite directions% B points
-74 a'o2e the negati2e x a;is%
Ans: B Jefer .o: Jef $+$ Difficulty: Hard SectionDef: Additional !ro'lems
85% How does the magnitude of A) A B B) A $% B #) A 7%3 B D) A 7%5 B E) A 7% B
A
Ans: B Jefer .o: Jef $+$ Difficulty: Hard SectionDef: Additional !ro'lems
compare with that of
B(
B(
Jeference: Jef $+, .he ta'le gi2es the x and y components of two 2ectors Kector
x component C$5 units C$5 units
A B
A
and
B:
y component C$7 units 9$7 units
88% &hich one of the following statements concerning these 2ectors is true( A) .he 2ector A 9 B has no x component% B) .he two 2ectors ha2e different magnitudes% #)
A
D)
B ma*es
ma*es a 584 angle with the positi2e x a;is% a -34 angle with the positi2e y a;is%
E) .he 2ector
A
C
B ma*es
a -34 angle with the positi2e x a;is%
Ans: A Jefer .o: Jef $+, Difficulty: Medium SectionDef: Additional !ro'lems
8% Determine the magnitude of the 2ector sum/ A) 5 units B) $5 units #) ,7 units D) -7 units E) 57 units
A
C
B%
Ans: D Jefer .o: Jef $+, Difficulty: Medium SectionDef: Additional !ro'lems
8<% Determine the magnitude of the 2ector difference/
A
9
B%
A) 5 units B) $5 units #) ,7 units D) -7 units E) 57 units Ans: # Jefer .o: Jef $+, Difficulty: Medium SectionDef: Additional !ro'lems
Jeference: Jef $+A 'oat radioed a distress call to a #oast uard station% At the time of the call/ a 2ector A from the station to the 'oat had a magnitude of 35%7 *m and was directed $5%74 east of north% A 2ector from the station to the point where the 'oat was later found is
B
-7%7 *m/ $5%74 north of east%
8>% &hat are the components of the 2ector from the point where the distress call was made to the point where the 'oat was found( In other words/ what are the components of 2ector C 9 A ( x component y component A) -5% *m/ west $%3 *m/ north B) 37%8 *m/ east 5$%, *m/ south #) $%- *m/ west 5$%, *m/ south D) 37%8 *m/ east -5% *m/ north E) $%- *m/ east -5% *m/ south Ans: E Jefer .o: Jef $+Difficulty: Hard SectionDef: Additional !ro'lems
7% How far did the 'oat tra2el from the point where the distress call was made to the point where the 'oat was found( In other words/ what is the magnitude of 2ector A) 85%- *m
C(
B
B) #) D) E)
->% *m ,8%5 *m 53%7 *m 3,%5 *m
Ans: B Jefer .o: Jef $+Difficulty: Medium SectionDef: Additional !ro'lems
