BWM Final 2014 Draft 1

8/16/2019 BWM Final 2014 Draft 1

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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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BWM 12603

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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BWM 12603

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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BWM 12603

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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BWM 12603

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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BWM 12603

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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BWM 12603

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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BWM 12603

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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BWM 12603

+ ; 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

/

11


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BWM 12603

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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BWM 12603

#+%

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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BWM 12603

/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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BWM 12603

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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BWM 12603

=

= 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'

BWM Final 2014 Draft 1

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