Physics 20] 0
Spring 2013
Dr. Tabitha Buehler
Name: _____________________________
Unid: ___________________________
SHOW ALL WORK! Please write all answers with clear. easy-to-read handwriting.
A. --k-:;:;;;--E
I travel 23.0° south of east on my bicycle for 11.5 km.
1. [3 pts.] What is the magnitude of my displacement in the east direction?
2. [3 pts.} What is the magnitude of my displacement in the south direction?
o
l{. S $f/\ 2 3
B. 1
Final Exam
Discussion T A: -=5h.:.....o....q.M)""-'-"-!\_ ____________
-=- q ~ 4'1
.5
/C;-/}
[5 pts.] Karen can run a distance of21 km with an average speed of2.92 mls. Jared can run it with an average
speed of3.04 mls. How much later than Karen (in minutes) should Jared start in order to finish the 21 km distance
at the same time as Karen?
t Ie -
f: ==!;
V
lJOOtJ1Y\ _
'2 q 2- I
71'1
l,
5
fie - (-j :: z.(flj- 5
= 4 ~ 7 3 MAlt
-......
c. A snowboarder comes off of a ramp at an angle of34.5° above the horizontal, with a speed of7.20 mls. The end
of the ramp is 1.05 m above the ground. Neglect friction and air resistance.
1. [7 pts.] How high above the ground is the highest point that the snowboarder reaches?
- V. lV.~ 1.. --
0'1
f 2~ \4I
o =-v; 5th 1.& rZ(-li/I) 7 7~
2. V_ "Z-.s /'l;1 1.- () --:::
Z,5 o/Zlf1
------
[7 pts.} When the snowboarder reaches this highest point, how far is she horizontally from the end of the
ramp?
V1
.::
lJ~7 t-
c..
E:
D ~ v(>.~ -,; f-
f-:::
V0'L-;...
o.4-lb..s
A::::
r-VtJ Lt9S ~
:= t-. tt 7 "'"
-----
J>h~'sics
2010 Spring 2013
Dr. Tabitha Buchlcr'
Name: ____..LM--><.><fL"""f"I....L...UJ:......e=--V--'--1r->CI"'--_ _ __
Unid:
2
Final Exam
------------------------------
Discussion TA: ________________________
SHOW ALL WORK! Please write all answers with clear. easy-to-read handwriting.
A.
Whaty::;:;y1v'
[9 pIs'] A boy is standing on a ramp that is inclined 41.2° above the ground. He is not slipping due to a static
ftiCtiO:forc~Of162N.
~iI:>i()
~
S
;::: :1.62. ~ :: 4' 2 _
-m "" ~f)
Ji". 'II.~) (Go q5~)
f
cis
::::
V
B. t (£)
~.::1 ,,~
""" =-=
The Earth rotates once a day about an axis that passes through the north and south poles. This axis is
perpendicular to the plane of the equator. Assume that the Earth is a sphere with a radius of 6.38 x 106 m.
[4 pts.} Due to the Earth's rotation, what is the tangential~eed of a person who is standing in Salt Lake
-!
City, at a latitude of 40.8° north ofthe equator? ~
n
_ _,
",..e Y"" .... u»
_ ~ '''-=9
I')
15-:::::
/I)."rt.8
7'()J::::."-.....,u~
{,
UJ,
'f)
_'$
::::. (,. 3S1tO ) (1'2tXlO
-=
3 Si·i!.'WJ/S
W::::. ZIT
) Usl qo.g
-
[~lJ,.6DJ.'O)
h4.J./
-:: .
/~
1·:t'f'KIO""",.
$.
VCD
----- what is thecentripetal
~
[4 pts.} Due to the Earth's rotation,
acceleration of a person who is standing in Salt
Lake City, at a latitude of 40.8° no~the equator.
Oc. '" V' ;:. 'Y!Al z
'"
C.
D.
~. OZ" r~.
W40.'/,· (1.2.H 1;;5)
1M wiNL ~ ~ ~t;Le.t
ret
Oh
...
""·t.e"t ~ ~ 10 ~ dtNvJ.f ~
~e.f,;,c..,
e.'1Ie ~
[2 pts.} Under what condition is total mechanical energy conserved?
iJ,
tnD
t1kfl1-
t-cm $OLf,f JA.ve ~
[3 pts.] What does it mean for total mechanical energy to be conserved?
IOfr)J
~CQJ e:rte..rtjj
-uJ/~:;
v-c6
[3 pts.} Explain the Work-Kinetic Energy Theorem. tuIteh. ~e
E.
~'k 9 (,():!. =- ". &ZXIO'
..c).
~to.-td .. r.:t olDe&n't
ct..awr
CJl'ft.~.
Ph~
Spring 20 I J
sics 20 I ()
1>... Tabitha Buehler
Name: _______________________________
Unid:
Discussion TA:
3
Final Exam
-----------------------------------'1'--'~'-4:i..!...h"'-V\=--=-----------------
SHOW ALL WORK Please write all answers with clear, easy-to-read handwriting.
[7 pts.] A boy tries to toss a 0.245-kg ball into his toy wagon, which is initially at rest. The ball hits the wagon at
a velocity of 10.5 mis, 21.3 0 below due east. Instead of staying in the wagon, the ball bounces out of the wagon
with a velocity of 8.35 mfs, 18.20 above due east. After being hit by the ball, the wagon has a velocity of 1.06 mis,
due east. Neglect friction. What is the mass of the wagon?
Fi-I I.:> 5"l~, w-t )",s I- It\uJ '''''''Sc¥II<1h'~",\
MO~ h.........'", ~ "i.. -d;v-ccWDV\: A
or
,.sr...(--./' 4.1.-
.h2.
J.Of# "(J,eL
....
1--,-_......1-.-.
o
IMp'\J12.~
C;)
+
,.,;·-Go.~(..sL1.,.1.)J
tl ~ :;-
-=
lMav(2.F-lC -+
wtw.v.. . .f-)( I.o""""w +~.1~co$ (It·.,:)l (o.~s-)
The long hand on the stopwatch in the picture shown is traveling clockwise in uniform circular motion. Points A and B are points on the long hand of the watch. B. 1. [2 pts.] How does the angular speed of Point A compare to the angular speed of Point B?
A
I (} I .I' L
'U.
,.
IT ctL«< 1M> "<I've...
I (;'."r-'-l
+tw '10 f!..vu..liLt tk >'t_ &«VC; ........
1"'- T'( .s..--..( f'l'-"L, J
r'
'::>I"'u... .
2. J
1'''
I
tk
s.~k<t. S
'
1
It
[2 pts.] How does the tangential speed of Point A compare to the tangential speed of Point B? S''''c.c.. \I,:' rw, tt-c. I,,"?.. . . flIdi...{ il f.uk-r
~ ;$ 1"'...,7"; #tit"!
I
:;>
[2 pts.] Draw and clearly label a vector on the picture to represent the tangential velocity of Point B.
[2 pts.] Draw and clearly label a vector on the picture to represent the centripetal acceleration of Point B.
.tt ....
f&.
A box that is 91.4 cm long and 30.5 cm tall is sitting on a small bench, as shown.
(
, >t------'---,~
The combined center of gravity of the box and bench is located 29.8 cm to the right
of the left bench support. The box and bench have a combined mass of22.7 kg.
)0 S
t/"
c. (m:
0.1 0 5'""" ; ~
.,
llor!"J
1.
[5 pts.) How much force is the ground exerting on the left bench support? Pick tk.
-
~t1-ocl
It
2.
rt... -
r--,., (.c",\-t.r or
2. ~WI
~
<if ~ rivc+/~'t.;s ~ 2!"I:
':~ (0.1;1',. _ (2.1..7~)('f·~ .... ,ru.1[o."'' j6i)
-'S
~
;~h~ ('"Iff~J.o. 'll~
I
if
o. 'ff'i
-
I
loc.. ~
}O'\
FL (0/111.{)
r
-""'3 lo.ft>ICD)
J
=-0
=-1 lli'f. <f tV
O.2.'tCl
~1 (I -:~u,) ~[I~~. 't
O·(lN
AI]
o~ _
~_I-o~)
I,}-,
[5 pts.] How much force is the ground exerting on the right bench support? _ _
_ _""",'
--L_ _ __ _
,,~ks ~ 2F:
72-·S- N ] u.u. >.....
K:
N""" \-\t. ""~I- i'ik >'1pofh tI.-t. Vf:s:/-
, ~ l-F12- -;:; 71./:;'
tJ/ FL- +'F"
-"J
oP tk ~~I-
=- 0
~ ~:: J
-~
=
_t)lO ;uvt.JlU;.1It.JQI!."'.;III,Jt:;IQU;;JO;JI::.. ~._to:lI';\II:~~._.
Spring 2UI)
___
..!II~If;&~,~ ..... x;:w. . . . C?dt_~a;a..
D.". Tabitha Buehler
.....
~.I"4'I:if!:M;;III,M;"tt.,.
...• • •• • "'Q!<P;J/'fJIfJt<.lIIi~"Vt·. . . . . . . . .- _ _• •
4
Final Exam
...cussion TA: _ _ _ _ _ _ _ _ _ _ __
SHOW ALL WORK Please write all answers with clear, easy-to-read handwriting.
A. [8 pIS.} A vertical frictionless spring with a spring constant of 475 N/m is mounted un strained on the floor. A
0.220-kg object is dropped onto the spring from directly above, compressing the spring by 8.00 cm. Ignore air
a~ce. How high above the uncompressed sprin was the object dropped from?
{
(
L
J 611
f'"'~
f
::: t,f
~ m~ h:: ~1- kx2
k -::
~
F:.J('Z -. 475(,0'1)
~ - .'J,l Ci. "8)
-. 7,
-, 1'1'\
=7Q
C V'1
<l..~Q.."Sf~""" 70-~ ~c~
B. [4 pIS.} Explain Archimedes' Principle in your own words.
C. A fluid of a given density is flowing through a tube that has a single entry and a single exit point. The second half
of the tube has a greater diameter than the first half.
1. [3 pIS'] How does the velocity ofthe fluid in the first half of the tube compare to the velocity of the fluid
in the second half?
V4<!CJ\--r l'rt
2. D. 1l l rt- hd f
1"5 ~"S-kr
[3 pIS.} How does the mass flow rate ofthe fluid in the flTst half ofthe tube compare to the mass flow
rate in the second half?
[7 pIS.} Object 1 has a temperature of 65.4 °C and is placed in thermal contact with Object 2, which has an initial
temperature of22.0 °C. Object 2 is twice as massive as Object 1. The two objects eventually reach a thermal
equilibrium at a temperature of36.2 °C. What is the ratio ofthe specific heat capacity of Object 1 to the specific
heat capacity of Object 2?]
"lm
Q.~ :2Q1. ~
Lf.
t
::.n11
@
rYV:: 61;' :!- fYl?--' t.~
-,,~ ~ ? ~ := ?-f.~~~ ::
(.1-~ T(
~J · J)
l
.47 I
-t f)h~sics
201U
Spring 2013
Ill'. Tahitha BlIchlcl'
Nrume: _ _ _ _ _ _ _ _ _ _ _ _ _ ___
5
Final Exam
Unid: _ _ _ _ _ _ _ _ _ _ _ _ _ __
Discussion TA: -----l~=;=J-tL"..!..\I\..L---------
SHOW ALL WORK Please write all answers witb clear, easy-to-read band writing.
A.
[9 pts.} Nrume and describe the three main methods of heat transfer. Give an example of each.
~O""dI.tc.h'oVl
C.OVlvecJ-io
B. Vl
",,.r-
_
IS
+-v-""t)fe('~J d;~,J~
(+_c.L.;;; ~o!- S"h,~)
p/""j (j4cH-i, b,,~ b) sh."l......)
fttllbjL.." """"b'ot I
~Mr- i( ~~v'v-eJ f1,v(J~ ~
b.. llc. of
q
q
[6 pts.} What three properties of an ideal monatomic gas can be changed in order to decrease its pressure, and in
what way is each property changed: by increasing or decreasing it?
PV =L-tR-, ===1
'P
= Vll2.r
V
d~u. LA [;..I04)...u of. ~kT ;""
C. f-.ti~:J
[k"'f~~~~
d~k.
T
,
V [vol~~J
I VlCv(.'l 't.L
CP'1
[10 pts.] Describe each ofthe four laws ofthermodynamics.
1:.YQ-t-H1 L.ct...v - ~o .s~&k... s .,.... fle""~"'''II...iC.
-l.t".i1: bn'''C..-t ,•..i""
j.P1t~ o~.... ~t4""';J f/..tV't.
0
i",c..c.~~f
w.,{/&:..
l~"';j fl..c.
[ ....h:vlN.fl
t,j
$('C.o.....J.
LAw - +1~,,~
[lA(""'b~'S P";".'f~(.
1! P/ic;t.A1 (.;',
JJ
a.lwo,,'P tlo\,<olJ f'V'O"",,
\"Htvi.. hc"!
,
1I(~1 ke41-- .f,:. 11<.. s'pf'el!O\ "Iv.d d'cvc..QI't'-J
sysl-e...t]
~ Lvr ro lAId ( ",«\.U'
/-k oliu'
~.s ~V4'"'; t..le tN-J,·... t:.s (,.r~ .fi.e. ",,~
W4J etVl>"wi.
tr...rv.. h,vtJ
l.,"vt. f-k.e.
C;;'t~
J>h~(sics
20] 0 Spring 2013
D.",
T~lbitha
Buehler
6
Final Exam
Discussion TA: _....;..5~.~
__--=-_______
SHOW ALL WORK Please write all answers with clear, easy-to-read handwriting.
A. [9 pIS.} The Sun produces approximately 3.90><; 1026 W of radiant power and has a surface temperature of
5800 K. Sirius A, the brightest star in our night sky, produces 25.0 times the radiant power of the Sun. Assume
that Sirius is a perfect blackbody sphere with a surface temperature of 9940 K. The Stefan-Boltzmann constant
hasa value of 5.67 x 10-8 J/(s . m2 . K4). How many times larger is the radius of Sirius than the radius ofthe Sun?
P;Vn .:- 3 11 ' to 26 I.V
r:Sc.N'I =- ~oo f(
~s;'r? ZSPSCN) 15fT' ;::.
~ '- Tit - too -r/~ \.. r.Ur
4). -1
fly r"'r w I' 'J r,... .5",
'1 q 'to t«
'"
If
f'~/r !'sIr
B. l..
-= -ZS-r-;v'l
'f
I's...."
lSvl\
-
J2S7$!' 1@7
T,jr
I
0
[8 pIS'] The air in our atmosphere is about 78.0% nitrogen (N2), about 21.0010 oxygen (02), and about 1.00%
argon (Ar). Assume that a classroom with a length of9.14 m, a width of 12.5 m, and a height of 3.66 m is filled
with this atmosphere at a pressure of 1.01 x lOS Pa and a temperature of20.0 ClC. The mass per mole ofN2 is
28.0 g/mol, of~ is 32.0 g/mol, and of Ar is 40 g/mol. The molar gas constant is 8.31 J/(mol' K). Assuming the
atmosphere is an ideal gas, what is the mass ofthe atmosphere in the classroom?
,7~n::: 13SZ--c;.-tO{::: S7<7 k)
2/ n -::: '3, 't 0 ~ "=- R7 'tj
11 - fV - Te,
IP
'01 11 =:.
t7 3
~!
lbh; I
C. ~_
ft,. C, 3q
c::
=5"0 Z
0
F::-S
Five moles ofa monatomic ideas gas expand adiabatically, and its temperature decreases from 147 ClC.to -23.0 ClC. The molar gas constant is 8.31 J/(mol· K). I. [5 pIS'] How much work is done? Is this work done on the gas
__ l{):::.
I, ::
51z..f\ R (r;- If)
4'2- 0 (1..5
If:: ZSO,
2. ::.
J0 (6
~e~
IcJ
"
('7 "
[3 pIS'] What is the change in the internal energy ofthe gas?
.AMi:Mrlc- -7 cQ:: 0
!) U ~ - /0 6
I
It:;
i
-.,.J
Name: ___________________
Unid: _ _ _ _ _ _ _ _ _ _ _ _ _ __
i
© Copyright 2025 Paperzz