D O N O TT U R NT H I SP A G E I I I I I
_iL
NAME:
,,I trv
v--.I
PHYSICS
44
W INTER
2013
EXAM1
PARTIALCREDITwillbe givenso do whatyoucanandmakesurethatyoushowall
workfor eachproblem.No creditwillbe givenif no workis shown.fne "poinivalue
of
eachquestionis indicated.
L4b lcu^
1. A satelliteis in a circularorbit2f,6km abovetheearth'ssurface,movingat a
constantspeedof 9.6 km/s.A tracking
stationpicksup the satellite
whenits5.0o
abovethe horizontal
as shownbelow.Thesatellite
is trackeduntildirectly
overhead. (RE= 6380km) (10Pts)
a)
b)
the averageacceleration
in unit-vector
Calculate
notationduringthe
trackinginterval.
the magnitude
Calculate
anddirection
of the instantaneous
passes
acceleratiE
as is
directlyoverhead.
- l
2
Vf
+---;*r'
{
1J.
I J'10 krn .
_
/
-_-.x..'-
///'.
{
,
I
\
1
(=
?6Do.!4
61gororutlltoLr.z\
U;:Ur-
4 6 20 k-r^4
t >l nr q
4 = - ? € o o . * n o t + ? 6 0S
f.. -e6os?
D53 2,=
' l , '?r 1{ efezcnor;6."^4)
\ - \ @
c\ 6...,-= fo $
E
o3
q50
t
.>
A q!-'
-5
Q o<)--:
- ?60cl 1
c -
- 5.2 4L
-
lDe= 6o2> |
-?6 ou c.">
6oa S
60 ? t ? ( s o ? i ^ T o l ) r ^
r
f-z
\z
b) A. =-tJ- :- (a^76oo-a11
\ \ . /
r
-.-
t .
J
Q6LO Xe) rt
-
2. A ballswingsin a vertical
circleat theendof a rope2.0m long.Whentheballis
36.9opastthe lowestpointandon itswayup,itstotalacceleration
is
a = (-22.5i+ 20.4 ) m/s'. At thatinstant: (10pts)
Explain
whethertheballis on itswayup on therightsideor on itsway
a)
b)
c)
d)
up on the left side.
Sketcha vectordiagramshowingthe componentsof this acceleration
on the corresponding
side.
Determinethe magnitudeof its radialacceleration.
Determinethe speedand directionof the ball.
u
g =?(.q
qo -Or2 |V.lo
d\){ b) _
^27.
Q . = z z . q ( o >( ? O - g )
#20.2-cO:e
O.:
0r:
)t-f. m
)q:7
Q r = 2 0. z S > q U ' - L2.,
>>n(to_d
5(m"lnt
d,o* ,I
/-\
Gr:
V-
Q I rtqe
(-
A+ {-O
V=
A 3(.2s
3. At%of its maximumheight,the speedof a projectileisT"of its initialspeed.
Calculatethe launchangle. (10 pts).
tf:
3' r V,
q_ h^.. n
2-
pr 9a-
t*,q;'*ll.^
d'*rll
lL-={on-p.{\
^r=JUo\;i:1
ff
-'l
-- - 14
vol(
clcc
ytT.,
rzav (v-yu)
-A1hn,<*
?::tt
Sr{6L
7. 1/
vo
tr:
-
{
^ t Z
U
u6
,,)( >
? )
;iouua= -(- (t&'"vy)
lG
-..-.-d?
@*G)_
ur t -- Yo\a+2 q\ (\ -yo)
vr -=3 h3n
r[q [a.o*
I /
1
-:
--sJ
.
o-*
l
nntqA
-\
ilt*'= 'f u*'-vvz
?y \
g{-= {"n-t
t h^u,o
1g t nr,.i
*t
hnqr
D
An elevatorwithouta ceilingis speedingupwardat a rate of 3.0 m/s2 At the
instantthe elevatorfloor reachesa heightof 28 abovethe groundand is moving
at a speedof 10 m/s, a physicsstudeniinsidethe elevatorjhro*s a ball direcly
upward,from a heightof 2 m abovethe elevatorfloor. The initialspeedof the
ballrelativeto the elevatoris 20 m/s. (15 pts)
a)
what maximumheightabovethe qrounddoesthe ballreach?
b)
Calculatethe time it takesfor the ball to returnto the elevatorfloor in
the earth'sreferenceframe.
c)
Calculatethe time it takesfor the ball to returnto the elevatorfloor in
the elevator'sreferenceframe.
6 V*t=1/ora t--LO.,.
(\-VJ
u =\uq
I
eq t =
.r |
vo1 =
'
\
Hrrnkp--T "nW1
5
e' A2.
2onL51 ". \,.ttt,f
fi\
b)
e\q$F)
Y"=Yr
u:r++!qr+' =\lor*uourHqb1
z?l:l
{rb-t +t.q{1
z8m
6..tt1
__l*3
=q I_:3__.= O
e-
\*-
= ?o+*:
7.225
rlb
o -- a e\)+*
f6.-*-s).-,
Q= a rao!-6.qtt=4.L2>
t/