F
Up
A
Table
There may or may not be friction between
the block and the table. Now, assume that
the block moves to the right at constant
velocity. Which of the following is true
(only one is correct)?
1) This is possible without any friction
2) This is i

A box is sitting on the floor
of an elevator which is
moving up at a constant
speed, v. The box has mass
MA. Which of the following
is true?
Up !
v
A
1) Kinetic energy is being converted into
gravitational potential energy.
2) The normal force does work o

12.3 Rocket Propulsion
A rocket at time t = 0 is moving with speed vr ,0 in the positive x -direction. The rocket
burns fuel that is then ejected backward with velocity u = ui relative to the rocket,
where u > 0 is the relative speed of the ejected fuel.

Chapter 25 Celestial Mechanics
25.1 Introduction: The Kepler Problem . 2
25.2 Planetary Orbits . 3
25.2.1 Reducing the Two-Body Problem into a One-Body Problem . 3
25.3 Energy and Angular Momentum, Constants of the Motion . 5
25.3.1 The Orbit Equa

Chapter 5 Two Dimensional Kinematics
5.1 Introduction to the Vector Description of Motion in Two Dimensions . 1!
5.2 Projectile Motion. 2!
Example 5.1 Time of Flight and Maximum Height of a Projectile . 5!
5.2.1 Orbit equation . 8!
Example 5.2 Hitting the

A gyroscope
UP
supported at one
end is rotating as
shown (the edge
x
towards you is
moving up, the top
edge is moving
away from you, the
edge away from you
is moving down, and the bottom edge is
moving towards you). Assume that the
support pivot can exert

Your shuttlecraft is in a circular orbit
around a planet. Suppose that you briefly
fire your rocket engine with its exhaust
pointing toward the planet (i.e. sideways
to the direction you are traveling). What
will happen?
1) No work is done so nothing chan

Two masses are attached to two different
springs and move on frictionless, horizontal
surfaces. Both springs are stretched and the
masses are released from rest.
Two masses are attached to two different
springs and move on frictionless, horizontal
surface

Air pressure pushes down on the top of your
head with a force of roughly 2000 Newtons,
equal to the weight of almost 500 pounds.
Why dont your legs collapse?
1) As you grow up, you slowly get accustomed to
holding up this weight.
2) Air pressure doesnt ca

Momentum of a Baseball Bat
The greatest rate of increase of the bats
momentum will be produced by pushing
with a force F at which of the following
points?
Kinetic Energy of a Baseball Bat
The greatest rate of increase of the bats
kinetic energy will be pr

Consider two identical
washers. The bottom
one is rotating and the
top one is not. The top
washer is dropped onto
the bottom one and they
stick together. On your
writeup, predict the
angular speed of the washers after the
collision compared to that of the

Chapter 17 Two Dimensional Rotational Dynamics
17.1 Introduction . 1!
17.2 Vector Product (Cross Product) . 2!
17.2.1 Right-hand Rule for the Direction of Vector Product . 3!
17.2.2 Properties of the Vector Product . 4!
17.2.3 Vector Decomposition and the

String 1
String 1
M1
M1
String 2
String 2
M2
Two masses are hanging
from strings which have
negligible mass. They are all stationary. What is
the force due to String 2 on the mass M2?
1) M1g upward.
2) M1g downward.
3) M2g upward.
4) M2g downward.
5) M1g

Two objects (labeled A & B) collide.
Newtons 3rd law tells us that the force A
exerts on B must be equal and opposite to
the force B exerts on A. Which of the
following is true:
1) The change in momentum of A due to the
force between the objects must be e

A spacecraft is initially orbiting a planet in a
circular orbit at a certain radius, R, from the
center of the planet. The speed of this initial
orbit is exactly that given for a circular orbit
controlled by gravity alone. Later, the
spacecraft is moving

Chapter 21 Rigid Body Dynamics: Rotation and Translation about a
Fixed Axis
21.1 Introduction . 1
21.2 Translational Equation of Motion . 1
21.3 Translational and Rotational Equations of Motion . 1
21.3.1 Summary . 6
21.4 Translation and Rotation

Chapter 22 Three Dimensional Rotations and Gyroscopes
22.1 Introduction to Three Dimensional Rotations . 1
22.1.1 Angular Velocity for Three Dimensional Rotations . 1
Example 22.1 Angular Velocity of a Rolling Bicycle Wheel . 2
22.2 Gyroscope . 3

Chapter 2 Units, Dimensional Analysis, and Estimation
2.1 The Speed of light . 1!
2.2 International System of Units . 1!
2.2.1 Standard Mass . 2!
Example 2.1 The International Prototype Kilogram . 3!
Example 2.2 Mass of a Silicon Crystal . 4!
2.2.2 Atomic

!
Consider
two vectors r = xi with x >0 and
!
with Fx > 0 and Fz > 0 . The
aF = Fxi + Fz k
torque points in the:
1) + x-direction
A 1 kg rock is suspended by a massless
string from one end of a 1 m measuring
stick. What is the mass of the measuring
stick

An object is moving in a
vertical circle. At one instant,
it is moving at a speed v as
shown. Think about force
equations for this motion.
Which of the following is true?
Up !
1) Gravity and the vertical component of the
string tension must be equal.
2) T

A student is pushing a large crate across a
rough floor. The student pushes so hard
that the crate starts to accelerate across
the floor. Which of the following is true:
1) Because of friction, the crate pushes harder
on the student than the student pushe

Block A collides with Block B. After the
collisions the two blocks stick together.
Which of the following is true?
1) You do not need any knowledge of the forces
between the blocks to find their velocity after
the collision.
2) You could use knowledge of

Up !
R
F
Up !
A
A
L
L
You know that there is friction between the
block and the table. Assume that the block
moves down the incline. Which of the
following is true (only one is correct)?
1) The force of friction is zero
2) The force of friction obviously

Forces and Reference Frames
You are a passenger in a car and not wearing your
seat belt. Without changing its speed, the car
makes a sharp left turn, and you find yourself
colliding with the right-hand door. Which of the
following is correct?
1) Before an

Ambiguous phrasing:
1) The total kinetic energy of the wheel at
any point can be calculated from the
change in potential energy due to gravity
minus the work done by friction.
Better phrasing:
2) The total kinetic energy of the wheel at
any point can be c

An object is swinging
on a string. At the
instant that it stops at
the highest point of its
swing, which of the
following is true?
Up !
1) The object stops so its
acceleration is zero.
2) The acceleration in the direction the ball
was moving is zero.
3) T

Consider a wheel rolling without slipping
down a slanted surface with friction.
Which of the following is true?
1) The linear acceleration of the wheel along
the incline can be calculated from the
component of gravity in that direction
minus the effect of

A ball with a mass of 1 kg moves from a
height of 1 meter to a height of 2 meters.
The work done by gravity on the ball is:
1) 0 J
2) Roughly +10 J
3) Roughly !10 J
4) Roughly +20 J
5) Roughly !20 J
6) Question cant be answered without
knowing the initial