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101Fa11Exam3VersionA.pdf
101Fa11Exam3VersionA.pdf
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101Fa11Exam3VersionA.pdf-Physics 101 A Hour Exam III
Page 4
Physics 101
A
Hour Exam III
Fall
2011
Page 4 of 9
(23 problems)
The following two questions pertain to the same physical situation
.
At the surface of planet X, a small ball of mass m = 3 kg is suspended by a
string of length L = 5 m. The ball oscillates with a frequency of 0.25 s
–
1
and an amplitude of 10 cm.
6.
What is the acceleration due to gravity at the surface of planet X?
a.
3.4 m/s
2
b.
6.8 m/s
2
c.
9.8 m/s
2
d.
12.3 m/s
2
e.
16.1 m/s
2
7.
How would the period of oscillation change, if the amplitude of the
oscillation were doubled?
a.
The period would increase by a factor of √2.
b.
The period would remain the same.
c.
The period would decrease by a factor of √2.
The following question is by itself
8.
The two cylinders of a hydraulic lift are R
1
= 0.1 m and R
2
= 1 m in radius. The piston
in the narrow cylinder is subject to a force of F
1
= 50N as illustrated. What force is
exerted on the piston in the wide cylinder to maintain its position? Ignore the masses of
the pistons.
The pistons are at the same height.
a.
1 N
b.
50 N
c.
200 N
d.
1500 N
e.
5000 N
F
2
R
1
2
2
R
1
F
2
Page 5
Physics 101
A
Hour Exam III
Fall
2011
Page 5 of 9
(23 problems)
The following two questions apply to the same physical situation.
A uniform cubic box of plastic is floating at the surface of a fresh water lake. The box is
submerged in water by 1/3 of its side. The side of the cube is 10 cm. The density of water
is 1000 kg/m
3
.
9.
What is the magnitude of the buoyant force that applies to the box?
a.
3.3 N
b.
13.2 N
c.
29.1 N
d.
35.4 N
e.
47.8 N
10.
Another uniform box of the same dimensions is floating nearby such that it is
submerged by ½ of its side. What can be said about the density of the second box
2
in
comparison with the density of the plastic box
1
?
a.
2
>
1
b.
2
<
1
c.
not enough information to tell
Page 6
Physics 101
A
Hour Exam III
Fall
2011
Page 6 of 9
(23 problems)
The following two questions pertain to the following situation:
Water flows through a cylindrical pipe of variable cross section as shown in the figure.
The average water velocity in the narrow part of the pipe is 3 m/s. The radii of the narrow
and wide sections of the pipe are R
1
= 10 cm and R
2
= 20 cm, respectively. Assume the
density of water is constant everywhere in the pipe.
11.
What is the average velocity in the wider section of the pipe?
a.
0.33 m/s
b.
0.75 m/s
c.
1.5 m/s
d.
3 m/s
e.
6 m/s
12.
How does the pressure in the wider section of the pipe P
2
compare with the pressure
in the narrow part of the pipe P
1
?
a.
P
2
> P
1
b.
P
2
< P
1
c.
P
2
= P
1
The following question is by itself.
13.
What is the pressure in the ocean 1 km below its surface? Assume that the ocean has a
constant density of 1000 kg/m
3
and that the atmospheric pressure is 1 atm or 100,000 Pa.
a.
1.5 atm
b.
22 atm
c.
53 atm
d.
86 atm
e.
99 atm
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