DREXEL PHYSICS 152 QUIZ 3, Quizzes of Physics

The quiz includes problems involving circular motion, gravitational forces, potential energy, and spring mechanics.

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QUIZ
3
PHYSICS
152
R· . S . N b
S'/g
eCltatlOn ectlOn urn
er
--
.;L
--
~
-
5
points
each. Show your work
to
receive
partial
credit.
1) A
stone
is
attached
to
a
string
and
whirled in a vertical circle of radius 1.5m.
At
both
the
exact
top
and
exact
bottom
of
the
circle,
the
tension in
the
string
is 2.5 times
the
stones weight.
What
is
the
ston
e's speed
at
the
top
and
at
the
bottom?
(Answers are top,
bottom)
l
'
~P
r
tl'\$
-
/YVV')..
a) 3.25
mis,
6.73
mls
I..L
-',
-t-
-r _ 'V:).
_,
'l,....J-_
'J
r-.
r
I
';\>
W \
~
V':l._-
..... q _
~
__
/ l.I -
,),"J
~
I
b) 4.70
mis,
7.17
mls
I
Fr
('I\j'
'I
1,51)'\"j--
t~t::
7
-J
::>'::'>0
-r
ly;.'IF:::.j',IJ'flY.'>
c) 6.
73
mis,
3.25
mls
I I
1==-
I
~
_ ::
~
1?
'd
5Pf'4..
-J?0Cj
-::
P(r
(c
,
~
'
t>
I I
t"r
{Y\~
f
-I
(] 0
d) 7. 17
mis,
4.7Om/s
-
~
jJ.
I
--
'1
,J.
~
_"
}.
C.
_,
1\
,-_
J l-::J-O
((\/
'-,
- -
'-
-
t~,y
,
'0c:4-
-=?
::::./'\)
"";::
.
vfJ(
-IV
_ , . 1 -
2)
Planets
A (mass
rnA)
and
13
(mass
mE=
3mA) are a dis
t'
ance
rA
and
rE=2.
5rA
from
their
host
f)YA
star.
What
is
the
ratio
of
the
forces between
the
star
and
the
planets
(F AIFE)? I
{6
~
a).48
I'l\",
\
~
k'
l'f\l1
I - G
m",fnA_
~-
~)
F-
-
('
(Y\JY\~
I"
\\
.
~
/'"
111
-?
F,
- _
~
D
('f\~
b
~
b) 1.37
,,0;
'A
\?,
;{
~
@;
\i\
7-3f<\
('0\\
N\f)
-G
~
O·:;r~J
d)
3.21
r~,).
@ A
te,
~
G
~-
(?SC.)'.1-
_
~
~;1.0~
3)
State
Kepler's
Third
Law. '\ f
I?>
-3
TI\c..
('tl-1-tO
o-t
+he
St{yIJ.v..reS
of-
+~
·
e
petl
lt1S
1
'-
- - - -
.Ii
\
~
,_}
lit
.i;\"
e
e.
[,u/\
i-s e a.
1 Ii. A I
'1
0
()
I"
hit'"
/,p'v
'
{)
I
VI
(\~
u,-!::)v
v'-'
r
~
c-
p
.,-
r.
1"6'
wo p
tJ...
ne
~
I L ,
..L-
S r
V'-'
+"
C::AIS
I
~
nce
s )
olY\
L
1.["
he:
It
(Y'ICo..-r \ -
fhe- ('&L:\-IO
()'-P
-h\e
C
t,,ujCs
. 0
r-
+\'\£-
Sv-(\~.
(ll
)'
J-
:=
I
~
\3
\J~
\S:).)
4) A
pendulum
bob
of mass 2 g is pulled
to
a height of
15
cm.
What
is its
potential
energy?
a) .292 J
-3
\
~E
:::
(Y\C
y
'\)
(Y\::-
')
[
~:::
JX
I~
-3,~(ff-
~
0
h:::.
lS--cVYl:::;
0·1::;
(Yl
c) 2.95 J
,\
._)
__
d)_296 J ?
E-
:;.
L'J
X lDC'l\(fr>
[CJ.8
rn/)") C
ohm
Date
:
11/4/2011.
pf2

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QUIZ 3

PHYSICS 152

R eCltatlOn·^.^ S^ ectlOn.^ N^ urnb er - - S'/g.;L -- ~-

5 points each. Show your work to receive partial credit.

  1. A stone is attached to a string and whirled in a vertical circle of radius 1.5m. At both the exact top and exact bottom of the circle, the tension in the string is 2.5 times the stones weight. What is the ston e's speed at the top and at the bottom? (Answers are top, bottom)

l

' ~P r tl'$ - /YVV')..

a) 3.25 mis, 6.73 mls I ';&gt;I..L W \ -', -t- - r ~ V':l.- ..... q _ 'V:). ~ __,/ 'l,....J- l.I - 'J ,),"J r-. ~ r I

b) 4.70 mis, 7.17 mls I Fr ('I\j' 'I 1,51)'"j-- t~t:: 7 -J ::>'::'>0 - r ly;.'IF:::.j',IJ'flY.'>

c) 6. 73 mis, 3.25 mls I I 1==- I ~ _ :: ~^1? 'd 5Pf'4.. -J?0Cj -:: P(r

(c

, ~ ' t> I I t"r {Y~ f -I (] 0

d) 7.17 mis, 4.7Om/s - ~ jJ. I -- '1 ,J. ~ _" }. C. , 1\ ,- J l-::J-O ((/ '-,

    • '- - t~,y ,'0c:4- -=? ::::./') "";:: .vfJ( -IV _ ,. 1 -
  1. Planets A (mass rnA) and 13 (mass mE= 3mA) are a dis t'ance rA and rE=2. 5rA from their host f)YA

star. What is the ratio of the forces between the star and the planets (F AIFE)? I {6 ~

a).48 I'l", \ ~ k

l'f\l1 I - G m",fnA_ ~- ~)

F-

- (' (Y\JY~ I" \. ~ /'" 111 -? F, - _ ~ D ('f~

b ~ b) 1.37 ,,0; 'A ?, ;{ ~

@; \i\ 7-3f<\ ('0\ N\f) - G~ O·:;r~J

d) 3.21 r~,). @A te, ~ G ~- (?SC.)'.1- _ ~ ~; 1. 0 ~

3) State Kepler's Third Law. '\ f I?> - 3

TI\c.. ('tl-1-tO o-t +he St{yIJ.v..reS of- +~ ·e petl

lt1S

.Ii \ ~,_} lit .i;" e e. [,u/\ i-s e a. 1 Ii. A I '1 0

()

I" hit'" /,p'v '{) I VI (~ u,-!::)v v'-' r ~ c- p

.,- r. 1"6' wo p tJ... ne ~ IL , ..L- S r

V'-' L 1.[" +"he: It (Y'ICo..-r \ C::AIS- I ~ nce s ) olY\

fhe- ('&L:-IO ()'-P -h\e C t,,ujCs. 0 r-

+'\£- Sv-(~. (ll )'J- := I ~ \

\J~ \S:).)

4) A pendulum bob of mass 2 g is pulled to a height of 15 cm. What is its potential energy?

a) .292 J -3 \ ~E ::: (Y\Cy') (Y::- ') [~::: JX I~ - 3 ,~(ff-

~ 0 h:::. lS--cVYl:::; 0·1::; (Yl

c) 2.95 J ,\ ._)

__d)_296 J? E- :;. L'J X lDC'l(fr> [CJ.8 rn/)") Cohm

Date : 11/4/2011.

  1. What is the maximum velocity of the bob in problem 4?

G 22 >Y~ b) 2.47 m/s c) 11.32 m/s d)17.1 m/s

  • k~~ ~ J 1 ~ ~I

11 (Y\M -:: t"II ~'IS ru (Y\o.;(

  1. A spring, spring constant k, is compressed by a distance x. What is the force required to restore it to equilibrium? dcu~. , a)lkx2 PE:= 1- (x J-. ~U"J- p,~ ·urt

~ ~ -r. ' &"'" 1.fY,(;Y'0. ;/:b- OYYVV::V~~ CY-

~p ::. &lt;'1. "~.(/v-vg IT' ~