homework 07 – GADHIA, TEJAS – Due: Mar 7 2007, 4:00 am
1
Question 1
part 1 of 1
10 points
Two identical stars,
a fixed distance
D
apart, revolve in a circle about their mutual
center of mass, as shown below. Each star has
mass
M
and speed
v
.
G
is the universal gravitational constant.
D
v
v
M
M
Which of the following is a correct relation
ship among these quantities?
1.
v
2
=
4
G M
D
2.
v
2
=
2
G M
2
D
3.
v
2
=
M G D
4.
v
2
=
G M
D
5.
v
2
=
G M
2
D
6.
v
2
=
4
G M
2
D
7.
v
2
=
2
G M
D
8.
v
2
=
G M
D
2
Question 2
part 1 of 2
10 points
Compare
the
gravitational
force
on
a
23
.
5 kg mass at the surface of the Earth (
R
E
=
6
.
4
×
10
6
m,
M
E
= 6
×
10
24
kg) with that on
the surface of the Moon (
M
M
=
1
81
.
3
M
E
,
R
M
= 0
.
27
R
E
).
What is it on the Earth?
Answer in units of N.
Question 3
part 2 of 2
10 points
What is it on the Moon?
Answer in units of N.
Question 4
part 1 of 2
10 points
Given:
G
= 6
.
6726
×
10
−
11
N m
2
/
kg
2
.
Three masses are arranged in the (
x, y
)
plane (as shown in the figure below, where
the scale is in meters).
y
(
m
)

5

3

1 0
1
2
3
4
5
x
(
m
)

5

4

3

2

1
0
1
2
3
4
5
1 kg
7 kg
3 kg
What is the magnitude of the resulting force
on the 1 kg mass at the origin?
Answer in units of N.
Question 5
part 2 of 2
10 points
Select the figure showing the direction re
sultant force on the 1 kg masses at the origin.
1.
None of these figures is correct.
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homework 07 – GADHIA, TEJAS – Due: Mar 7 2007, 4:00 am
2
2.
y

5

3

10 1 2 3 4 5
x

5

4

3

2

1
0
1
2
3
4
5
3.
y

5

3

10 1 2 3 4 5
x

5

4

3

2

1
0
1
2
3
4
5
4.
y

5

3

10 1 2 3 4 5
x

5

4

3

2

1
0
1
2
3
4
5
5.
y

5

3

10 1 2 3 4 5
x

5

4

3

2

1
0
1
2
3
4
5
6.
y

5

3

10 1 2 3 4 5
x

5

4

3

2

1
0
1
2
3
4
5
7.
y

5

3

10 1 2 3 4 5
x

5

4

3

2

1
0
1
2
3
4
5
Question 6
part 1 of 2
10 points
The
universal
gravitationan
constant
is
6
.
6726
×
10
−
11
N m
2
/
kg
2
.
Three 9 kg masses are located at points in
the
xy
plane as shown in the figure.
48 cm
57 cm
What is the magnitude of the resultant
force (caused by the other two masses) on
the mass at the origin?
Answer in units of N.
Question 7
part 2 of 2
10 points
At what angle from the horizontal (
x
) axis
will the resultant force point?
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 Spring '10
 Clerck
 Mass, General Relativity

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