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Midterm Examination 1 Solutions - Physics 1 | PHY 1001, Exams of Physics

Material Type: Exam; Professor: Perlman; Class: Physics 1; Subject: Physics; University: Florida Institute of Technology; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/01/2009

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PHY
1001
- Phvsics
I
Name:
Sua wT-tDilS
Please do
all five of the
following
problems.
Each
problem is worth
20
points. You are
permitted to use
a formula
sheet, calculator
and
ruler. Please
show
your work'
l) The radius
of Mars's
orbit
around
the
sun
(assumed
to be ciicular)
is 2.28
x 108 krn,
and
its orbital
period is 687 daYs'
Midterm Exam
I
a) (8 points)
\Yhat
is the
magnitude
of Mars' orbital
velocity,
in m/s?
i='z'i*i'sg L"*
" 2 ""eLxrD]'
^, n /l.tr,r?s
'" ?,2$xtff 1*vnt c"ei5\du "'.. r rt/t,at a
T 16lr]
doas)
L8c4oo
& ) - t r
:(fo'
s
I v L tl-,^,-rll ,nr\ I
7Kr
V= -T^ r- &rrxrrfr l =
L;,;;
"------:---'-
Lt
(f ovf I I
'/
q.qqx,ofs
b) (8 points) what is the radial acceleration of Mars towards the Sun?
U /[ t2
lzql xro'-t) ***'-id]@,'@l@#@6!pd4i-
1 'V YA,
d12.55 x
lD G
r s-
T,zg xrotr
,"\
Z) Apilot wishes
to fly due
west. The
wind
is blowing
towards
the north
at 100.0
kmlh.
a) (7 points) If theairspeed
of her
plane is 250.0 km./h,
in which direction
should
the
' pilothead?
("-, a-{Q-
3 v,Jau'Y:a' T* uLLo
t,nJ o
( l* plaau-
rx.1.c,,.1-iu
e tu ft''- 4"3'^# T:*,e,-
-tfu'do"t ;4 *t'+
p{a''e
Jer, tD>LLM/h
=>l
B =23.bo
zfr>
L+*/n ' I
S *l us
_
lS
*4
,rr
.
/-\ "AlG ID>LLM/\
Fr'urn
ic) A^'^O
= 6= fu;rJ^
,)L
n{v=
u- ,/
", nl
I u-y\ /-
f
b) (7 points)
What is the
resulting
speed
of the
planij
bver the ground?
'l
'Plg ;
c) (3 points) Please draw the resulting vector diagram.
lrl' / V
PtU \e:w\
,,1]-e ;-
b un\F
Lr-i qrs
pf3
pf4

Partial preview of the text

Download Midterm Examination 1 Solutions - Physics 1 | PHY 1001 and more Exams Physics in PDF only on Docsity!

PHY 1001- Phvsics

I

Name:

Sua wT-tDilS

Pleasedo all five of the following problems.Eachproblemis worth

points. You are

permittedto usea formula sheet, calculatorandruler. Please showyour work'

l) Theradiusof Mars'sorbit aroundthe sun(assumedto be ciicular) is 2.28x 108krn,

andits orbitalperiodis 687 daYs'

Midterm ExamI

a) (8 points)\Yhatis the magnitude of Mars' orbitalvelocity,in m/s?

i='z'i*i'sg

L"*

"

2

""eLxrD]'

^, n /l.tr,r?s

'"

?,2$xtff

1*vnt c"ei5\du "'..

r rt/t,at

a

T 16lr]

doas) L8c4oo

&

)

t r

:(fo'

s

I v

L tl-,^,-rll ,nr\ I

7Kr

V=

-T^

r- &rrxrrfr

l = L;,;;

"------:---'-

Lt

(f o

vf I I '/

q.qqx,o

fs

b) (8 points) what is the radial acceleration of Mars towards the Sun?

U /[ t

lzql

xro'-t)

***'-id]@,'@l@#@6!pd4i-

'V

YA,

d12.55 x lD G

r

s-

T,zg

xrotr

,"\

Z) Apilot wishesto fly duewest. Thewind is blowingtowards

the northat 100.0kmlh.

a) (7 points)If theairspeed

of her planeis 250.0km./h, in which directionshouldthe

pilothead?

a-{Q-

v,Jau'Y:a'

T*

uLLot,nJ o ( l*

plaau-

rx.1.c,,.1-iu

e

tu ft''-

4"3'^#

T:*,e,- -tfu'do"t ;4 *t'+p{a''e

Jer,

tD>LLM/h

=>l B

=23.bo

zfr>L+*/n

'

I S *l us_

lS

*4,rr.

/-\

"AlG

ID>LLM/\

Fr'urn

ic) A^'^O

=

6=

fu;rJ^

,)L

n{v=

u- ,/

",

nl I u-y
/-

f

b) (7 points) What is the resultingspeed of the planijbver the ground?

'l

'Plg

;

c) (3 points) Please draw the resulting vector diagram.

lrl'

V

PtU

\e:w\

,,1]-e

;-

b

un\F

Lr-i

qrs

.; /

leavesyourhand,(ii).h"#,and(iii)justbeforeitlands.

C
7

Jrr/ta \ \ rl 4lor ,4',

\

:=600 3i:0" ,,zF; o l, , uu?

Ia'-*L'l ^dV '
(8points)rryoutossthedarrwith " "".|,fl #'k-ffi: : ;& the horizontal, you hit the bulls-eye. How much higher is the bulls-eye than your tt

L

  1. You areplaying dartswith your friends.The targetis at a horizontaldistanceof 2.1m from your hand,and its bulls-eyeis locatedhigherthanyour hand. a) (9 points) Draw free-bodydiagramsshowingthe forceson the dart (i) just after it

=

t, 5 Nl

c) (8 points) What is the vertical com lands? b) hand? ^F,rgt v\ed +aSold< ,f,_ t tLh,qttt } Unroo 9W,Jd tbue; o1l" ' n:b { " J,wYtt Wa,te-t, S,i'il'*, Vo"'vocor{o =l!,qt}-uf x,-o'u,,t lt= ry 'T#^=o'b = i,Lo

,\ ,o No,^r ,f,Ij,'n,, Vr,= dos ,-^i, =b''{?)o^uo ,,-:;iyr+ ++ ouf

|

= 5,s,+ z -y, = 'ps-€x" r;.;!, u' @ t"q's

just beforeit l1= u"l 1.rL: l_L#j ?1so$. )(c,toE

\r;

; jjls
i"+r w&
4-1,'5, ,

An 8.00kg rocket,launched from Mars (9=3.73./st), burnsfuel that exertsatime-

yavine upwardforce on the rocket. The force obeys.the equationF(t):A+Bf. The

forceis measured at 100.0N at F0 and 150.0N at 2. s.

a)

points) Find the constants A and B, including their sI units.

ht t= 2s

e

= lso.oN

='b

Q ='

lDO,

l5o,u

N)

-F'-dF*a

4"oa so

'Z

) +_ b (Z,cDS )

=ln,sq I

r

?{

b) (10 poin*) What is the net force on the rocket and its acceleration(you may

neglectthe massof the fuel ejectedfrom the rocket) at F0 andF3.00 s?

A'f A-

fuJ

["

t|\

1-D {,r..,

ar{,-^Xa,\4{,Lfct&a* -Jl'*- li *tt -NMi,V

lratiift

r1'* Ft+) ,^ ry**J

(+7)

'^A

FyWe

:

Fr,',rcru:

,^l^( h''-

I

-+i

S

**,

i)=

? t&7,

-_p

l\p"re

rrL)

Wr*{A

,-

l-

I

If(jLV

7q 8q

fN ak oU

hvatJ

[Jt P'r

e is o-l 's1s

R

=

tt-)a*

t,-'D 1

f Lt)

= |Dr2aNJ

J)

)*

tpo'o

C

|

5(^v

L',,)

A'kt"$s

FLt

l-

I

-/

{z,ro*f

= 2rz'5|