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UNIVERSITI TUN HUSSEIN ONN MALAYSIA
FINAL EXAMINATION
SEMESTER IISESSION 2013/2014
COURSE NAME : PHYSICS TECHNOLOGY
COURSE CODE : BWM 12603
PROGRAM : BND
EXAMINATION DATE : UNE 2014
DURATION : 3 HOURS
INSTRUCTION : ANSWER ALL !UESTIONS IN
PART A" ANSWER ONLY 3
!UESTIONS IN PART B
THIS !UESTION PAPER CONSISTS OF NINE #$% PAGES
CONFIDENTIAL
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PART A: A&'()* +,, -.)'&'"
!1 a) A brother and sister try to communicate with a string tied between two tin cansas shown in Figure Q1 a). ! the string is ".# m $ong% has a mass o! ## g and is
&u$$ed taut with a tension o! '.# (% how much time does it tae !or a wa*e to
tra*e$ !rom one end o! the string to the other+ ,-&ress your answer using twosigni!icant !igures.
/ Mars)
b) uring an earthuae% the !$oor o! an a&artment bui$ding is measured to
osci$$ate in a&&ro-imate$y sim&$e harmonic motion with a &eriod o! 1."0 s and
an am&$itude o! .3# cm.
i) etermine the ma-imum s&eed o! the wa*e acting to the !$oor during
this motion.
ii) etermine the ma-imum acce$eration o! the wa*e acting to the !$oor
during this motion. (7 marks)
c) he wa*e$ength and &eriod o! a wa*e are 1# cm and 0.03 s res&ecti*e$y.
i) 4a$cu$ate the &hase di!!erence between two &oints o! the wa*ese&arated by a distance o! ' cm.
ii) 4a$cu$ate the *e$ocity o! this wa*e
iii) 5ow much is the change in &hase !or a &artic$e a!ter 0.0/ s
" mars)
2 a) t taes /'.# to heat 2# grams o! co&&er !rom 2# 74 to '# 74. What is the
s&eci!ic heat in ou$es8g974+.
/ mars)
b) A 1.0 g A$uminium b$oc has an initia$ tem&erature o! 10.074. What wi$$ the
!ina$ tem&erature o! the A$uminium b$oc be i! 3.0 - 10/ o! heat is added+
/ mars)
c) A 0.#0 g b$oc o! meta$ with an initia$ tem&erature o! #/.#℃ is dro&&ed into acontainer ho$ding 1.1 g o! water at 20.0℃. If the nal temperature of
the block water system is 21.4℃, what is the specic heat ofthe metal !ssume the container can be i"nore#, an# that noheat is e$chan"e# with the surroun#in"s.
' mars)
PART B : P,)+') +&'()* 3 -.)'&' &,"
Q3 a) :tate the Archimedes; &rinci&$e.
2
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A b$oc o! wood !$oats in a container o! water% sea$ed and trans&orted to the
moon. 5ow wou$d the same b$oc o! wood !$oat in the same sea$ed container
o! water on the sur!ace o! the moon+
/ mars)
b) A huge rising ba$$oon has a *o$ume o! 2300 m< and is !i$$ed with hot air with a
density o! 0."2 g m%
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b) An air&$ane !$ies due south at 1'# m8hwith res&ect to the air. here is a wind
b$owing at #m8h to the east re$ati*e tothe ground. What are the &$ane;s s&eed
and direction with res&ect to the ground+
/ mars)
c) @i$ian and 4hrissy are going to s$ee&o*er night in their tree house and are using
some ro&es to &u$$ u& a bo- containing their &i$$ows and b$anets%which ha*e a
tota$ mass o! 3.20 g. he gir$s stand on di!!erent branches% as shown in F.*)
#5% % and &u$$ at the ang$es and with the !orces indicated. Find the -? and y?
com&onents o! the net !orce on the bo-.
10 mars)
Q6 a) A bicyc$e rider &ushes a bicyc$e that has amass o! 13 g u& a stee& hi$$. he
inc$ine is 2#7 andthe road is 2'# m $ong% as shownin Figure. he rider &ushes
the bie&ara$$e$ to the road with a !orce o! 2# (.
i. 5ow much wor does the rider do on the bie+
ii. 5ow much wor is done by the !orce o!gra*ity on the bie+
' mars)
b) A 2.00?g bu$$et% mo*ing at #3 m8s%stries a 0.2#0?g &iece o! wood at reston a!riction$ess tab$e. he bu$$et stics inthe wood% and the combined mass
mo*ess$ow$y down the tab$e.
i) raw energy bar gra&hs and momentum *ectors !or the co$$ision.
ii) Find the s&eed o! the system a!ter the co$$ision.
iii) Find the inetic energy o! the system be!ore the co$$ision.i*) Find the inetic energy o! the system a!ter the co$$ision.
*) What &ercentage o! the system;s origina$ inetic energy was $ost+
13 mars)
,( CF QD,:C(
FINAL EXAMINATION:,M,:,E 8 :,::C( :,M 8 201282013 GECHEAMM,
/
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4CDE:, G5I:4: ,45(C@CHI 4CDE:, 4C, BWM 12603
Figure Q1 a)
FINAL EXAMINATION
:,M,:,E 8 :,::C( :,M 8 201282013 GECHEAMM, 4CDE:, G5I:4: ,45(C@CHI 4CDE:, 4C, BWM 12603
Figure Q1 a)
#
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F.*) !6 #+
FORMULA
:,M,:,E 8 :,::C( :,M 8 201282013 GECHEAMM,
4CDE:, FJ ,(C@CH 4CDE:, 4C, BWM 12603
Hra*ity acce$eration%1 !eet = 12 in
1 !eet =30./cm=0.30/ m vm P ⋅=
'
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g = ".1 m8s2 1 mi = 1.60" m
W = F ⋅ s = Fs cosθ 222
2
1
2
1 xmkx E u ω ==
θ r s =
2
2
1mv K = 22
2
1 Am E E E
uk J ω =+= ω r v =
mghU = 22 y x R R R +=
α r a =
K K = ? KU
= −
x
y
R
R1
tanθ dt
d θ ω =
W n = K K at uv +=
dt
d ω α =
).2
1
2
112
2
1
2
2 mghmghmvmv −−=− 2
2
1at ut s += r
r
vac
22
ω ==
xa ⋅−= 2ω asuv 222 += 2/ α ω += r a
π
ω
2
1
== T f ∑ = ma F t o α ω ω +=
22 x Av −=ω mg W = 2
2
1t t o ⋅+= α ω θ
).2
1
2
1 2222 x Ammv E k −== ω f k = µ k ⋅ N f s = µ s⋅ N θ α ω ω ∆⋅+= 2
22
o
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"
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S57)8+ 9* F&+, BWM 12603
! A&'()* T+,
!1
a) * = d8td8t = srt F 8 L)
".#8t = srt '.# ( 8 0.0## g 8 ".# m))
".#8t = srt '.# 8 0.00#'")
".#8t = srt 12"6)".#8t = 36
t = 0.26 seconds
F1
:1
A1
D1
/
b) i) is re$ated to angu$ar motion by
= 28N
N angu$ar *e$ocity. N and am&$itude A as the OradiusP to
con*ert to $inear units m8s)
= 28N
N = 2 N = 28
N = 6.231 8 1."0
N = 3.306"/ radians8s
4on*ert to $inear units m8s) by mu$ti&$ying by the am&$itude whichneeds to be con*erted !rom cm to m)
m8s = N r
m8s = 3.306"/ 0.03#
; 0"2
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+ ; 0"$138/'2
c) he wa*e$ength and &eriod o! a wa*e are 1# cm and 0.03 s
res&ecti*e$y.
i) 4a$cu$ate the &hase di!!erence between two &oints o! the
wa*e
se&arated by a distance o! ' cm.ii) 4a$cu$ate the *e$ocity o! this wa*e
iii) 5ow much is the change in &hase !or a &artic$e a!ter 0.0/ si) & '.'7 m
&
& ('.'7)
& 2.2 ra#
ii) * & f
&
&
& + ms1
iii) & '.'4 s
&
&
& 2.-7 ra#
F1:1
A1
F1:1
A1
F1
:1A1
"
!2a) Dse the !ormu$a
/
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Q = mcK
/'.# = 2# g)c'# 74 ? 2# 74)
/'.# = 2# g)c#0 74)
c = /'.# 82#g)#0 74)
c = 0.3" 8g974
he s&eci!ic heat o! co&&er is 0.3" 8g974
F1
:1A1
D1
F1
:1A1
D1
/
F1
F1
:1
:2
A1D1
'
!3
12
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#+%
A*578)=)' P*&5>,) stated that the u&ward buoyant !orce e-erted
on a body immersed in a !$uid is eua$ to the weight o! the !$uid the body dis&$aces .
he wood wi$$ !$oat the same as the density o! the wood wou$d not
be a!!ected by the moon gra*ity or the changes in weight !or water
and wood does not change the mass or density.
M1
M1
M1
M1
/
#%
GresureR gi*en by ba$$oon
G ba$oon= Sgh shou$d be eua$ to Gressure by co$d air
Gco$d air = Sco$d air gh
G ba$oon= Sgh
= 0."2 g m
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/0/t & /m/a/t& k" / ms1 & /m/*t/t& k"ms1 (or 351) & k"/ms1s/s & k"ms1 (or 351)
/t & s or 5
/m & k" or 3 /* & ms1 or 51
/0/t & k"ms1 or 351 & /m/*
:1
:1A1
A1
b)
UE =
= 1"0 m8h
UE = 1"0 m8h% 6/7 south o! east
F1
A1
F1
:1A1
/
c) FA on bo-% - =FA on bo- cos
= 20./ ()cos 1207)
= ?10.2 (
FA on bo-% y =FA on bo- sin
= 20./ ()sin 1207)
=1'.' (
F4 on bo-% - =F4 on bo- cos
= 1'.' ()cos ##7) = 10.2 (
F4 on bo-% y = F4 on bo- sin
= 1'.' ()sin ##7) = 1/.# (
Fg% - = 0.0
Fg% y = ? mg
= ? 3.20 g)".0 m8s2) = ? 31./ (
Fnet on bo-% - = FA on bo-% - V F4 on bo-% - V Fg% - = ? 10.2 ( V 10.2 ( V 0.0 ( = 0.0 (
Fnet on bo-% y = FA on bo-% y V F4 on bo-% y V Fg% y = 1'.' ( V 1/.# ( ? 31./ ( = 0. (
F1
F1
F1
F1
:1
:1
A1
:1
A1
10
1#
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T7) &) 9*5) ' 0" N & 7) .>(+*= =*)5&"
!6
a) i) 5ow much wor does the rider do on the bie+
F*5) +&= ='>,+5)8)& +*) & 7) '+8) =*)5&"
W = Fd
= 2# ()2'# m) = 6." > 103
ii) 5ow much wor is done by the !orce o!gra*ity on the bie+
T7) 9*5) ' =(&(+*= # $0%@ +&=7) ='>,+5)8)& ' 2
+) 7)7*&+, *11 9*8 7) 9*5)"
W = Fd cos
= mgd cos
= 13 g)".0 m8s2)2'# m)cos 11#7)
= ?1.# > 10/
F1:1
A1
F1
:1A1
D1
'
i. raw energy bar gra&hs and momentum *ectors !or the
co$$ision.
ii. Find the s&eed o! the system a!ter the co$$ision.
F*8 7) 5&')*+& 9 88)&.8@
mv ="m # $)V
so U =
=
= /.2' m8s
iii. Find the inetic energy o! the system be!ore the co$$ision.
=
1
F1
:1
A1
F1
:1
A1
13
16
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=
= 2"
i*. Find the inetic energy o! the system a!ter the co$$ision.
! =
=
= 2.30
*. What &ercentage o! the system;s origina$ inetic energy
was $ost+
] $ost =
=
= "".3]
F1
:1
A1
F1
:1
A1
1'