Physics Midterm : 2006-2007

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PhysicsMidterm : 2006-2007 Name: Date: is to providestudentswith the opportunityto PURPOSE:Thepurposeof this assessment demonstratemasteryof topicscoveredduring the first of the yearin PhysicsClassat tools,kinematics,dynamics, Bow High School.Topicscoveredincludemathematical motion. vectors,andmulti-dimensional

UsefuI Equationsilnformation: 1" =v,2 +2ad t1 =vi + at; d =v,t +-4t'', '.r'

dr-dr.

rz-tt

:

(r=

v:-t

tz-tr

tz-tt

Fn", = mobieaAohiecti

f r

static..friction

--tt Itstatict

W*juo

F N)

1, l=!i+vvt-:8t';

x - - x i+ v x i t;

8ro* =g'81

z

v r= tr,i

m; sec-

*

= mobi""r g

= F F strding. Triction lt rtianrg N

vr=vr. -Et i

d*=0

a r= -8

?

SETUP #1: The Falline Sphere

EXPERIMENTAL

DATA/GRAPIVANALYSIS: The following data was collected for the time required for a sphereto fall various distancesfrom rest in the physicsclassroom:

t.D Distance FaIlen (cm)

Time Required (sec)

to

ill

70

.l +l

bqrn

K€Yt G#

o.o-o

E

Tx€oRy

o

b n, c){

*{

TJ g r

30

, zzl

s -5

tl0

.268

6

SO

. ?q8

60

, \L+

o,5

6-',

D.t{ O,l O 0.x- O,3 {'^o (:"r\ / a. Graph the distanceversustime data on the axes provided and draw a best fit curve through the data.

b. Use unit analysis to demonstratewhich of the following equationsis the dimensionally consistent,where d is the distancefallen, g is the gravitational acceleration.and / is the time:

I

llnl: {

't

d

mr".t,'-rn

d

itnq-'.og'*o.t{, Crrn5r, i r. 0,1

lr

'.

=@

I

trnr{sJr no} *,"i4 q nut dna4s,*.,".i.1

d --8 !

(v

V

tv)

rn

s.& 1

[ **.

*

Crr^s,:{ c r,-l

fh 5'A"g

c. Use the equation you selectedto createa graph of distancefallen versustime

predicted by theory. Comment regarding how closely the data and theory agree.

+.('")

o.o I o.r lo.zl o.3 lo.q I o.5

d=*?f-- rl, l q .tt-l t' (*)

o . o o o.0qq0"rq6 o , Y t l1

tl

+

| ?\

"rT 'i

d. Qualitatively describewhat happensto the velocity of the ball as it falls. Develop a convincing argumentusing the shapeof the distance-timegraph to support your answer. Thq- vq-l3