1 
1. The graph to the right is a plot of position versus time. For which labeled region is the velocity
positive and the acceleration negative? A. A
B. B
C. C
D. D
E. E


2 
2. A child left her home and started walking at a constant velocity.
After a time she stopped for a while and then continued on with a velocity greater than
she originally had. All of a sudden she turned around and walked very quickly back home.
Which of the following graphs best represents the distance versus time graph for her walk? 

3 
3. In a rescue attempt, a hovering helicopter drops a life preserver to
a swimmer being swept downstream by a river current of constant velocity v. The helicopter
is at a height of 9.8 m. The swimmer is 6.0 m upstream
from a point directly under the helicopter when the life preserver is released. It lands 2.0
m in front of the swimmer. How fast is the current flowing? Neglect air resistance.
A. 13.7 m/s
B. 9.8 m/s
C. 6.3 m/s
D. 2.8 m/s
E. 2.4 m/s


4 
4. A child tosses a ball directly upward. Its total time in the air is
T. Its maximum height is H. What is its height after it has been in the air a time T/4?
Neglect air resistance.A. (1/4) H
B. (1/3) H
C. (1/2) H
D. (2/3) H
E. (3/4) H


5 
5. A whiffle ball is tossed straight up, reaches a highest point, and
falls back down. Air resistance is not negligible. Which of the following statements are
true?I. The ball’s
speed is zero at the highest point.
II. The ball’s acceleration is zero at the highest point.
III. The ball takes a longer time to travel up to the highest point than to fall back
down.
A. I only
B. II only
C. I & II only
D. I & III only
E. I, II, & III


6 
6. A pendulum is attached to the ceiling of an elevator car. When the
car is parked, the pendulum exhibits a period of 1.00 s. The car now
begins to travel upward with an upward acceleration of 2.3 m/s^{2} . During this part of the motion, what will be the approximate period of
the pendulum?A. 0.80 s
B. 0.90 s
C. 1.00 s
D. 1.10 s
E. 1.20 s


7 
7. Two identical blocks of weight W are placed one on top of the other
as shown below. The upper block is tied to the wall. The lower block is pulled to the
right with a force F. The coefficient of static friction between all surfaces in contact
is m. What is the largest force F
that can be exerted before the lower block starts to slip?A. mW
B. (3/2) mW
C. 2 mW
D. (5/2) mW
E. 3 mW


8 
8. An object placed on an equal arm balance requires 12 kg to balance
it. When placed on a spring scale, the scale reads 120 N. Everything (balance, scale, set
of masses, and the object) is now transported to the moon where the gravitational force is
onesixth that on Earth. The new readings of the balance and the spring scale
(respectively) are:A. 12 kg, 20 N
B. 12 kg, 120 N
C. 12kg, 720 N
D. 2 kg, 20 N
E. 2 kg, 120 N


9 
9. A large spool of rope lies on the ground. See the diagram below. The
end, labeled X, is pulled a distance S in the horizontal direction. The spool rolls
without slipping. The distance the spool’s center of mass moves isA. 2S
B. S
C. S/2
D. S/3
E. S/4


10 
10. Air track car Z of mass 1.5 kg approaches and collides with air
track car R of mass 2.0 kg. See the accompanying diagram. Car R has a spring attached to
it and is initially at rest. When the separation between the cars has reached a minimum,
then:A. car R is still at rest.
B. car Z has come to rest.
C. both cars have the same kinetic energy.
D. both cars have the same momentum.
E. the kinetic energy of the system has reached a minimum.


11 
11. Two ice skaters, a 200 lb man and a 120 lb woman, are initially
hugging on a frictionless level ice surface. Ten seconds after they push off from each
other, they are 8.0 m apart. How far has the woman moved in that time?A. 8.0 m
B. 6.5 m
C. 5.0 m
D. 4.0 m
E. 3.0 m


12 
12. The diagram below shows the velocitytime graph for two masses R
and S that collided elastically. Which of the following statements is true?I. R and S moved
in the same direction after the collision.
II. The velocities of R and S were equal at the midtime of the collision.
III. The mass of S was greater than the mass of R.
A. I only
B. II only
C. I & II only
D. II & III only
E. I, II, & III


13 
Questions 13 and 14 refer to the motion of two blocks along a
frictionless level track. Block #1 (mass m_{1}) is initially moving with speed v_{o}.
It collides with and sticks to an initially stationary block (#2) of mass m_{2} = 9 m_{1}.13. What is the speed of the two blocks after the collision?
A. v_{o}
B. (9/10) v_{o}
C. (8/9) v_{o}
D. (1/9) v_{o}
E. (1/10) v_{o}


14 
14. What fraction of the initial kinetic energy of the system is
converted to other forms (heat, sound, ...) as a result of the collision?A. 1 %
B. 10 %
C. 50 %
D. 90 %
E. 99 %


15 
15. Three identical objects of mass M are fastened to a massless rod of
length L as shown. The array rotates about the center of the rod. Its rotational inertia
isA. (1/2) MLČ
B. MLČ
C. (5/4) MLČ
D. (3/2) MLČ
E. 3 MLČ


16 
16 A length of rope is wrapped around a spool of weight W with inner
radius r and outer radius R as shown in the accompanying diagram. The rope is pulled with
a tension T at an angle q. Which
of the following conditions must be satisfied for the spool to slide uniformly without
rolling?A. cos q = r / R
B. sin q = r / R
C. T = W
D. T = W sin q
E. T = W cos q


17 
17. Two identical bricks of length L are piled one on top of the other
on a table. See the diagram below. What is the maximum distance S the top brick can
overlap the table with the system still balanced?A. (1/2) L
B. (2/3) L
C. (3/4) L
D. (7/8) L
E. L


18 
18. A gas contains a mixture of ^{4}He and ^{20}Ne atoms. If the average speed of the ^{4}He atoms is vo, what is the average speed of the ^{20}Ne atoms? 

19 
19. One end of a metal rod of length L and crosssectional area A is
held at a constant temperature T_{1} . The other end is held at a constant T_{2} . Which of
the following statements about the amount of heat transferred through the rod per unit
time are true?I. The
rate of heat transfer is proportional to 1/(T_{1}  T_{2} ).
II. The rate of heat transfer is proportional to A.
III. The rate of heat transfer is proportional to L.
A. II only
B. III only
C. I and II only
D. I and III only
E. II and III only


20 
20. On all the pV diagrams shown below the lighter curve represents an
isothermal process, a process for which the temperature remains constant. Which dark curve
best represents an adiabatic process, a process for which no heat enters or leaves the
system?

