This preview shows pages 1–3. Sign up to view the full content.
This printout should have 30 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
001 (part 1 of 7) 3.0 points
Aprotonislocatedat:
±
4
×
10

10
m
,

7
×
10

10
m
,
5
×
10

10
m
²
.
±ind
±
r
,th
eloca
t
iono
Fth
ep
ro
tonF
romth
e
origin where
±
r
=
±
r
x
,r
y
z
²
.
What is
r
x
in meters?
Your answer must be within
±
5.0%
Correct answer: 4
×
10

10
m.
Explanation:
The position oF the proton is the vector
From the origin to the location oF the proton.
In this case:
±
4
×
10

10
m
,

7
×
10

10
m
,
5
×
10

10
m
²
002 (part 2 of 7) 3.0 points
What is
r
y
in meters?
Your answer must be within
±
5.0%
Correct answer:

7
×
10

10
m.
Explanation:
The position oF the proton is the vector
From the origin to the location oF the proton.
In this case:
±
4
×
10

10
m
,

7
×
10

10
m
,
5
×
10

10
m
²
003 (part 3 of 7) 3.0 points
What is
r
z
in meters?
Your answer must be within
±
5.0%
Correct answer: 5
×
10

10
m.
Explanation:
The position oF the proton is the vector
From the origin to the location oF the proton.
In this case:
±
4
×
10

10
m
,

7
×
10

10
m
,
5
×
10

10
m
²
004 (part 4 of 7) 2.0 points
What is

±
r

in meters?
Your answer must be within
±
5.0%
Correct answer: 9
.
48683
×
10

10
m.
Explanation:
The magnitude oF
±
r
is Found by:

±
r

=
±
r
2
x
+
r
2
y
+
r
2
z
where:
r
x
=4
×
10

10
m
r
y
=

7
×
10

10
m
r
z
=5
×
10

10
m
thereFore:

±
r

=9
.
48683
×
10

10
m
005 (part 5 of 7) 3.0 points
What is ˆ
r
x
,the
x
component oF the unit vector
in the direction oF
±
r
?
Your answer must be within
±
5.0%
Correct answer: 0
.
421637.
Explanation:
The unit vector has the Form:
ˆ
r
=
±
r

±
r

.
This means that the
x
component oF the unit
vector is:
ˆ
r
x
=
r
x

±
r

=
4
×
10

10
m
9
.
48683
×
10

10
m
=0
.
421637
006 (part 6 of 7) 3.0 points
What is ˆ
r
y
y
component oF the unit vector
in the direction oF
±
r
?
Your answer must be within
±
5.0%
Correct answer:

0
.
737865.
Explanation:
The unit vector has the Form:
ˆ
r
=
±
r

±
r

.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document This means that the
y
component of the unit
vector is:
ˆ
r
y
=
r
y

±
r

=

7
×
10

10
m
9
.
48683
×
10

10
m
=

0
.
737865
007 (part 7 of 7) 3.0 points
What is ˆ
r
z
,the
z
component of the unit vector
in the direction of
±
r
?
Your answer must be within
±
5.0%
Correct answer: 0
.
527046.
Explanation:
The unit vector has the form:
ˆ
r
=
±
r

±
r

.
This means that the
z
component of the unit
vector is:
ˆ
r
z
=
r
z

±
r

=
5
×
10

10
m
9
.
48683
×
10

10
m
=0
.
527046
008 (part 1 of 5) 10.0 points
Ap
lanetislocatedat
±
P
=
±
4
×
10
10
,
8
×
10
10
,

5
×
10
10
²
.
Astarislocatedat
±
S
=
±
7
×
10
10
,

6
×
10
10
,
5
×
10
10
²
.
What is
±
R
,thevectorpo
int
ingfromthestar
to the planet?
1.
±
R
=
±
9
×
10
10
,

1
.
4
×
10
11
,
6
×
10
10
²
2.
±
R
=
±
8
×
10
10
,

1
.
6
×
10
11
,
6
×
10
10
²
3.
±
R
=
±
1
.
1
×
10
11
,

1
.
4
×
10
11
,
1
×
10
11
²
correct
4.
±
R
=
±
6
×
10
10
,

1
.
1
×
10
11
,
9
×
10
10
²
5.
±
R
=
±
9
×
10
10
,

1
.
6
×
10
11
,
1
×
10
11
²
Explanation:
This is a vector subtraction problem. To
Fnd
±
R
,wesubtract
±
S

±
P
by respective com
ponents:
S
x

P
x
=7
×
10
10

(

4
×
10
10
)=1
.
1
×
10
11
S
y

P
y
=

6
×
10
10
+8
×
10
10
=

1
.
4
×
10
11
S
z

P
z
=5
×
10
10
+(

5
×
10
10
×
10
11
So
±
R
=
±
S

±
P
=
±
1
.
1
×
10
11
,

1
.
4
×
10
11
,
1
×
10
11
²
.
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 10/24/2011 for the course PHY 303L taught by Professor Turner during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Turner
 Physics

Click to edit the document details