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Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________
As a student at NJIT I (sign)_____________________________, will conduct myself in a professional
manner and will comply with the provisions of the NJIT Academic Honor Code. I also understand that
I must subscribe to the following pledge on major work submitted for credit as described in the NJIT
Academic Honor code: On my honor, I pledge that I have not violated the provisions of the NJIT Academic Honor Code.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below.
The point at which the object has zero velocity and negative acceleration is
a.
b.
c.
d.
e.
____
A
C
B
D
E
2. The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located
at one focus of the ellipse. When the planet is at point A,
a.
b.
c.
d.
e.
its speed is a maximum.
its speed is increasing.
its speed is decreasing.
its speed is constant.
its speed is a minimum.
Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________
____
3. The object shown below has mass m and velocity v. The direction of its angular momentum vector with
respect to an axis perpendicular to the page through point O is
a.
b.
c.
d.
e.
____
counterclockwise.
to the right.
up out of the page.
into the page.
downwards.
4. In the figure, a 1.6-kg weight swings in a vertical circle at the end of a string having negligible weight. The
string is 2 m long. If the weight is released with zero initial velocity from a horizontal position, its angular
momentum (in kg  m2/s) at the lowest point of its path relative to the center of the circle is approximately
a.
b.
c.
d.
e.
40
20
30
50
10
Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________
____
5. Find the pressure in atmospheres at the base of Dworshak Dam if the water in the reservoir is 200 meters deep.
(105 N/m2 = 1 ATM.)
a. 20.6 ATM
b. 75 ATM
c. 24.7 ATM
d. 196 ATM
e. 29.4 ATM
____
6. A wheel rotating about a fixed axis has an angular position given by  = 3.0  2.0t2, where  is measured in
radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
a. 1.0 rad/s2
b. 3.5 rad/s2
c. 3.0 rad/s2
d. 4.0 rad/s2
e. 2.0 rad/s2
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Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________
____
7. A uniform rod (mass m = 1.0 kg and length L = 2.0 m) pivoted at one end oscillates in a vertical plane as
shown below. The period of oscillation (in s) is approximately
a.
b.
c.
d.
e.
____
2.3
2.0
4.0
1.6
3.2
8. Three 5.0-kg masses are located at points in the xy plane as shown in the figure. What is the magnitude of the
resultant force (caused by the other two masses) on the mass at the origin?
a.
b.
c.
d.
e.
1.8  108 N
2.9  108 N
2.4  108 N
2.1  108 N
2.7  108 N
Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________
____
9. To double the total energy of a mass oscillating at the end of a spring with amplitude A, we need to
a. increase the angular frequency by
.
b. increase the amplitude by
.
c.
increase the amplitude by 4 and decrease the angular frequency by
.
d. increase the amplitude by 2.
e. increase the angular frequency by 2.
____ 10. A uniform solid sphere rolls without slipping along a horizontal surface. What fraction of its total kinetic
energy is in the form of rotational kinetic energy about the center of mass?
a. 5/7
b. 3/5
c. 1/2
d. 2/5
e. 2/7
Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________
Sample Problems for Final Exam, Physics 106, Summer 2010
Answer Section
MULTIPLE CHOICE
1. ANS:
2. ANS:
3. ANS:
4. ANS:
5. ANS:
6. ANS:
7. ANS:
8. ANS:
9. ANS:
10. ANS:
C
C
D
B
A
D
A
D
B
E
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS: 1
PTS:1