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# NATIONAL INSTITUTE OF PHYSICS

COLLEGE OF SCIENCE
University of the Philippines
Diliman, Quezon City1101 MetroManila

Course

Credit Units

4 units

Course
Description

Corequisite

References

## University Physics, 13th Edition by Young and Freedman

Physics for Scientist and Engineers, 4th Edition by Paul A. Tipler
Physics, 5th Edition by Resnick et.al.
Conceptual Physics, 8th Edition by Paul G. Hewitt

Course Goal

The course aims to develop the students understanding of basic concepts and ability to
systematically solve a wide variety of problems on mechanics, fluids and wave motion using
Newtons Laws and Conservation Principles.

Course
Requirements

Important
Dates

3 Long Exams

60%

Final Exam

25%

Recitation

10%

Lecture Grade
First Long Exam

5%
February 29, 2016 (MON) 7:00 AM-9:00 AM

Final Exam

Removal Exam

End of Classes

## May 19, 2016 (THU)

Lecturer:
Consultation Room: A101
Consultation Schedule:
Email Address:

Recitation Teacher
Consultation Room: A101
Consultation Schedule:
Email Address:

COURSE POLICIES

Grading System

A. Exam Policies
1. The three long exams and the final exam are departmental
and are taken on the scheduled date and time. Each exam is
multiple-choice type and has 40 items.
2. A student is allowed to take ONLY ONE make-up exam when
he/she misses a long exam and has a valid reason for missing
the exam. In the case of illness, bereavement, or official UP duty,
a medical certificate, death certificate, or official endorsement,
respectively, must be submitted as soon as possible. The
make-up exam, which is multiple-choice type and has 40 items, is
given one week after the missed long exam. There is no makeup exam for the final exam.
3. A student who missed the make-up exam due to a valid
reason will be given a score of zero for his/her missed exam.
4. A student who missed a long exam or a make-up exam without
a valid excuse will automatically get zero for that exam.
5. There will be no exemptions for the final exam.

1.00

1.25

1.50

1.75

2.00

2.25

2.50

2.75

3.00

4.00

5.00

## B. Lecture and Recitation Grade

1. Lecture grade such as quizzes, attendance, etc. are included to the 5% grade.
2. Recitation classes are held every Friday during class hours at the designated recitation rooms.
3. A student who missed a recitation activity for valid reasons should present his/her excuse letter, duly
signed by his/her College Secretary of a medical certificate issued by UP Health Service, to his/her
recitation instructor on the first recitation class meeting he/she is able to come back. A student who
missed a recitation activity without a valid excuse will automatically get zero for that activity.
4. The weight of the excused missed recitation will be removed from the total recitation grade.
C.

Attendance
1. University rules apply for attendance (lecture and recitation).
a) If the student reached 13 absences (or 9 absences in Section WHFR-x), majority of which
excused, then the student will be forced drop.
b) If the student reached 13 absences (or 9 absences in Section WHFR-x), majority of which
unexcused, then the student will be given a grade of 5.00.
c) If the student reached more than 13 absences (or 9 absences in Section WHFR-x), then
student will be given a grade of 5.00.
2. Valid reasons include but are not limited to the following:
a) Illness
b) Death of the immediate family member
c) Official UP representation.
3. All excuse documents must be submitted within two (2) days after the student come back to
class.

are
are
the

the

## D. Grading System, Removal Exam, and Completion of Grade

1. A student who missed the final exam due to valid reasons will be given a grade of INC only if his/her
class standing (assuming a zero score in the final exam) is at least 4.00; otherwise a grade of
5.00 will be given. The student must take the final exam in Physics 71 within one (1) academic year of
incurring the INC; otherwise, the final grade will be computed with a score of zero for the missed exam.
2. A student granted a LOA will only be given a grade of either DRP or 5.00. A grade of 5.00 is given if the
LOA is granted after of the semester has lapsed and the student's class standing is failing;
otherwise a grade of DRP is given.
3. If a grade of 4.00 has been incurred, he/she will have to apply for a removal exam permit and take the
removal exam within an academic year.
4. The removal exam is a problem solving type exam covering the course objectives of the semester.
5. When removing grades of 4.00 or INC, the student must be enrolled during the term the
removal/completion exam is taken.
E.

## Student Conduct and Discipline

1. Any form of cheating in examinations or any act of dishonesty in relation to studies, such as
plagiarism, shall be subjected to disciplinary action.
2. Observe courtesy during exams and class hours. Using any electronic gadgets (e.g. mobile phones,
laptops, cameras, etc.) is strictly prohibited in the class.
3. Any form of vandalism is strictly prohibited in NIP building. A student who is found guilty will be subjected
to disciplinary action.
4. The corridors, rooms, entry and exit points of the National Institute of Physics are under CCTV
surveillance.

COURSE COVERAGE
Topics

Orientation

Objectives
After the discussion and lined up activities, you should be able to:

## Explain what is expected of you to get good marks in this class

Explain the expected role of your teacher
Explain the expected role of your book
Explain the expected role of your lecture classes
List the materials you will need for this course

Topic
No.

## Chapter 1: Units, Physical Quantities, and Vectors (~ 2 hours)

Topics
Standards and units
Unit consistency and
conversions
Uncertainty and significant
figures

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 1.3, 1.4, 1.5

Suggested Exercises: 1.8, 1.10, 1.14, 1.15

## Describe what physical quantities are.

Convert quantities into different units.
Recognize the importance of significant figures.
Express quantities in scientific notation.
Justify the dimensional consistency of a relation.

## Suggested Readings: 1.7, 1.8, 1.9

Suggested Exercises: 1.28, 1.31, 1.38, 1.43
Vectors and vector addition
Components of vectors
Unit vectors

## Differentiate vector and scalar quantities.

Obtain the component of a given vector along a specified axis.
Express a vector from magnitude-direction form to component form
and vice versa.
Perform addition on vectors.

Topics

## Displacement, time, and

average velocity
Instantaneous velocity

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 2.1, 2.2

Suggested Exercises: 2.1, 2.3, 2.5, 2.9, 2.10
Define distance, average speed and instantaneous speed.
Define displacement, average velocity and instantaneous velocity.
Describe motion in one dimension in terms of the kinematical quantities
above.

## Suggested Readings: 2.3

Suggested Exercises: 2.12, 2.13, 2.16
Average and instantaneous
acceleration

## Define average and instantaneous acceleration.

Describe motion in one dimension in terms of average and
instantaneous accelerations.
Analyze one-dimensional motion using verbal, graphical and algebraic
representations.

## Suggested Readings: 2.4, 2.5

Suggested Exercises: 2.21, 2.23, 2.30, 2.31, 2.35, 2.43, 2.46, 2.47
Motion with constant
acceleration
Freely falling bodies

## Familiarize with the four kinematic equations.

Solve problems involving motion of an object with constant
acceleration.
Solve problems involving two objects with interrelated kinematical
quantities.
Define free-fall motion.
Solve problems involving motion including freely falling bodies.

## Chapter 3: Motion in Two or Three Dimensions (~ 4 hours)

Topics

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 3.1, 3.2

Suggested Exercises: 3.1, 3.3, 3.5, 3.6, Q3.3, Q3.4, Q3.5, Q3.6
Position and velocity vectors
Acceleration vector

## Express position, velocity, and acceleration in two and three dimensions

using vector representation.
Interpret the components of a body's acceleration parallel to and
perpendicular to its path.
Solve kinematic problems in two and three dimensions.

## Suggested Readings: 3.3

Suggested Exercises: 3.9, 3.13, 3.16, 3.17, 3.21
Projectile motion

## Describe the characteristics of a projectile.

Discuss the consequences of the independence of vertical and
horizontal components of projectile motion.

## Solve problems involving projectile motion.

Suggested Readings: 3.4
Motion in a circle

## Differentiate uniform and non-uniform circular motions.

Describe an object moving in a uniform circular motion
Solve problems involving circular motion.

## Suggested Readings: 3.5

Suggested Exercises: 3.31, 3.33, 3.35, 3.37
Relative velocity

Describe motion using the concept of relative velocities in one and two
dimensions.
Solve problems involving relative motion.

## Chapter 4: Newtons Laws of Motion (~ 2 hours)

Topics
Force and interactions
Mass and weight
Newtons first law
Inertial frames of reference

Free-body diagrams
Newtons second law
Newtons third law

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 4.1, 4.2, 4.4

Suggested Exercises: Q4.3, Q4.7, 4.1, 4.6, 4.5, 4.17, 4.19

## Identify all contact and non-contact forces acting on a body.

Differentiate mass and weight.
Cite examples where Newtons first law is observed.
Define inertial frames of reference.

## Suggested Readings: 4.3, 4.5, 4.6

Suggested Exercises: 4.9, 4.13, 4.27, 4.29, 4.21, 4.24, 4.25

10

11

## Draw the appropriate free-body diagrams for a given body.

Cite examples where Newtons second law is observed.
Cite examples where Newtons third law is observed.
Identify action-reaction pairs.

## Chapter 5: Applying Newtons Laws (~ 4 hours)

Topics

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 5.1

Suggested Exercises: 5.1, 5.5, 5.7, 5.8, 5.9
Newtons 1st law: particles in
equilibrium

## Solve equilibrium problems involving collinear forces.

Solve equilibrium problems involving coplanar forces.
Apply Newtons laws to obtain conclusions about the contact and noncontact forces acting on a body in equilibrium.

12

## Suggested Readings: 5.2

Suggested Exercises: 5.13, 5.15, 5.17
Newtons 2nd law: dynamics
of particles

## Solve dynamical problems involving collinear forces.

Solve dynamical problems involving coplanar forces.
Apply Newtons 2nd law and kinematics to obtain conclusions about the
velocity and acceleration of one or more bodies, and the contact and
non-contact forces acting on them.

13

## Suggested Readings: 5.3

Suggested Exercises: 5.25, 5.27, 5.28, 5.29, 5.31, 5.35
Frictional forces

## Differentiate the properties of static friction and kinetic friction.

Compare the magnitude of sought after quantities such as frictional
force, normal force, threshold angles for sliding, acceleration etc.
Solve equilibrium problems with friction.
Solve dynamical problems with friction.

14

## Suggested Readings: 5.4

Suggested Exercises: 5.45, 5.47, 5.49, 5.53
Dynamics of circular motion

## Identify the component of a force that contributes to the centripetal

acceleration.
Apply Newtons 2nd law and kinematics to obtain conclusions about
velocity and acceleration of one or more bodies undergoing circular
motion, and the contact and non-contact forces acting on them.

## FIRST LONG EXAM

Date: February 29, 2016 (Monday)

4

Room: TBA

15

## Chapter 6: Work and Kinetic Energy (~ 3 hours)

Topics

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 6.1, 1.10

Suggested Exercises: 6.1, 6.3, 6.5, 6.7, 6.9
Scalar product
Work

## Calculate the scalar product of two vectors.

Define work.
Determine the work done by a constant force acting on a system.
Determine the total work done on a system by constant forces.

16

## Suggested Readings: 6.2

Suggested Exercises: 6.15, 6.16, 6.19, 6.29
Work and kinetic energy

## Relate the work done by a constant force to the change in kinetic

energy of a system.
Apply the work-kinetic energy theorem to systems with constant forces.

17

## Suggested Readings: 6.3, 6.4

Suggested Exercises: 6.31, 6.35, 6.37, 6.39, 6.41, 6.49
Work and energy with
varying forces
Power

Determine the work done by a varying force on a system from a forcevs-displacement graph.
Apply the work-kinetic energy theorem to systems with varying forces.
Define power.
Relate power to work, energy, force and velocity.

## Chapter 7: Potential Energy and Energy Conservation (~ 4 hours)

Objectives
Topics
After the discussion and lined up activities, you should be able to:
Gravitational potential
energy
Conservation of mechanical
energy (gravitational force
only)
Conservative and
nonconservative forces

18

Topic
No.

## Suggested Readings: 7.1, 7.3

Suggested Exercises: 7.1, 7.3, 7.5, 7.9, 7.11, 7.27, 7.29
Define the gravitational potential energy in terms of the work done on
an object by a uniform gravitational force.
Apply the conservation of mechanical energy to analyze the motion of
an object (or a system of objects) subject to uniform gravitational
force.
Differentiate conservative forces from non-conservative forces.
Calculate the work done by a non-conservative force.

19

## Suggested Readings: 7.2,

Suggested Exercises: 7.15, 7.17, 7.19, 7.23, 7.25
Elastic potential energy
Conservation of mechanical
energy

## Relate the elastic potential energy of an object-spring system to the

work done by the spring.
Apply the conservation of mechanical energy to analyze the motion of
an object attached to an ideal horizontal spring.
Express the conservation of mechanical energy qualitatively and
quantitatively.
Apply the conservation of mechanical energy to systems subject to
spring force and uniform gravitational force.

20

## Suggested Readings: 7.4, 7.5

Suggested Exercises: Q7.21, Q7.24, 7.38, 7.86
Force and potential energy
Energy diagrams

## Construct the force vs position graph given a potential energy vs

position graph.
Predict the direction of a conservative force based on a monotonic
potential energy function.
Locate the stable, unstable, and neutral equilibrium points given the
potential energy or force as functions of position.

## Chapter 8: Momentum, Impulse, and Collisions (~ 4 hours)

Objectives
Topics
After the discussion and lined up activities, you should be able to:

21

Topic
No.

## Suggested Readings: 8.1

Suggested Exercises: 8.1, 8.5, 8.7, 8.13
Momentum and impulse

## Define momentum and impulse.

Relate the momentum, impulse, force, and time of contact in a system.
Apply the impulse-momentum theorem on a physical problem.

22

Conservation of momentum
and collisions

## Suggested Readings: 8.2, 8.3

Suggested Exercises 8.17, 8.19, 8.21, 8.25, 8.27, 8.33, 8.35, 8.37, 8.39,
8.41

23

## Enumerate the conditions for conservation of linear momentum.

Apply conservation of momentum to physical systems.
Solve problems involving inelastic collisions using momentum
conservation.
Utilize the concept of mechanical energy and momentum conservation
in solving inelastic collision problems.
Suggested Readings: 8.4
Suggested Exercises: 8.47, 8.48
2D collisions and
Elastic collisions

## Solve problems involving systems in one and two dimensions where

linear momentum is conserved.
Determine if a collision is elastic or inelastic.
Solve an elastic collision problem.
Predict the motion of constituent particles for different types of
collisions.

24

## Suggested Readings: 8.5

Suggested Exercises: 8.51, 8.53, 8.55
Center of mass

## Locate the center of mass of a system.

Relate the motion of the center of mass with the momentum and net
external force acting on the system.

25

## Chapter 9: Rotation of Rigid Bodies (~ 3 hours)

Topics
Angular velocity and
acceleration
Rotation with constant
angular acceleration

Objectives
After the discussion and lined up activities, you should be able to:
Suggested Readings: 9.1, 9.2
Suggested Exercises: 9.1, 9.2, 9.8, 9.9, 9.11, 9.13, 9.17, 9.19

26

## Describe the rotation of a rigid body in terms of angular kinematical

quantities.
Utilize the vector nature of angular velocity.
Solve angular kinematic problems with constant angular acceleration.
Suggested Readings: 9.3
Suggested Exercises: 9.21, 9.23, 9.31, 9.33, 9.35, 9.41, 9.43, 9.45

kinematics

Topic
No.

## Utilize the angle-arc length relation in relating rotational and

translational quantities.
Solve problems involving interrelated linear and angular quantities.
Calculate the tangential and centripetal acceleration of a point on a
rotating rigid body.

27

## Suggested Readings: 9.4, 9.5

Suggested Exercises: 9.55, 9.57
Energy in rotational motion
Parallel-axis theorem

## Define moment of inertia.

Calculate the kinetic energy of a rotating rigid body with fixed axis of
rotation.
Compare the moment of inertia of two different rigid objects.
Calculate the moment of inertia about a given axis of a composite body.
Apply conservation of energy in rotational motions to physical systems.
Apply parallel-axis theorem in solving physical problems.

28

## Chapter 10: Dynamics of Rotational Motion (~ 1 hour)

Topics

Objectives
After the discussion and lined up activities, you should be able to:
Suggested Readings: 1.10, 10.1
Suggested Exercises: 10.1, 10.3, 10.5

Vector product
Torque

## SECOND LONG EXAM

Date: April 11, 2016 (Monday)

29

## Calculate the vector product of two vectors.

Define torque.
Calculate the torque due to a single force.
Calculate the net torque due to several forces.

Topic
No.

Room: TBA

Topics

## Torque and angular

acceleration for a rigid body

## Rigid-body rotation about a

moving axis

Angular momentum
Conservation of angular
momentum

Objectives
After the discussion and lined up activities, you should be able to:
Suggested Readings: 10.2
Suggested Exercises: 10.9, 10.11, 10.13

Topic
No.
30

## Relate torque to the angular acceleration of a rigid body.

Apply Newtons second law of rotation and conservation of energy to
physical systems that involves rotation about a stationary axis.
Suggested Readings: 10.3
Suggested Exercises: 10.19, 10.21, 10.25
Compare translational and rotational kinetic energies of a rolling object.
Apply Newtons second law of rotation and conservation of energy to
physical systems that involves rotation about a moving axis.

31

## Suggested Readings: 10.5, 10.6

Suggested Exercises: 10.37, 10.39, 10.41, 10.43, 10.45, 10.47, 10.49
Define angular momentum for a point particle and for a rigid body.
Explain the conditions for conservation of angular momentum.
Apply conservation of angular momentum to physical systems.

32

Topics

## Conditions for equilibrium

Center of gravity

Solving rigid-body
equilibrium problems
Stress, strain, and elastic
moduli
Elasticity and plasticity

Objectives
After the discussion and lined up activities, you should be able to:
Suggested Readings: 11.1, 11.2
Suggested Exercises: Q11.1, Q11.6, 11.1, 11.3,
Enumerate the necessary and sufficient
equilibrium.
Solve problems involving center of gravity.

conditions

for

static

## Suggested Readings: 11.3

Suggested Exercises: 11.5, 11.7, 11.9, 11.11, 11.13
Apply conditions for equilibrium to rigid bodies.

Topic
No.

33

34

## Suggested Readings: 11.4, 11.5

Suggested Exercises: 11.25, 11.27, 11.29, 11.39, 11.41
Define stress, strain, and elastic moduli.
Compare elasticity and plasticity.

35

## Chapter 12: Fluid Mechanics (~ 3 hours)

Topics

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 12.1, 12.2

Suggested Exercises: 12.3, 12.5, 12.7, 12.9, 12.21
Density
Pressure in a fluid

Buoyancy

Fluid flow
Bernoullis equation

Relate density, specific gravity, mass and volume; pressure, area and
force; pressure, density and depth.
Apply the above relationships in solving fluid statics problems.
Apply Pascals principle in analyzing fluids in various systems.
Suggested Readings: 12.3
Suggested Exercises: 12.27, 12.29, 12.31
Apply the concept of buoyancy and Archimedes principle to various
systems involving fluids and objects in fluids.

36

37

## Suggested Readings: 12.4, 12.5

Suggested Exercises: 12.35, 12.37, 12.41, 12.43, 12.45
Enumerate the properties of an ideal fluid.
Apply Bernoullis principle and continuity equation to problems
involving fluid flow.

38

## Chapter 13: Gravitation (~ 3 hours)

Topics

Objectives
After the discussion and lined up activities, you should be able to:
Suggested Readings: 13.1, 13.2
Suggested Exercises: 13.1, 13.3, 13.5, 13.7, 13.9, 13.11, 13.13

Weight

## Determine the net gravitational force on each mass given a system of

point masses.
Describe the gravitational force, weight, and acceleration due to gravity
based on Newtons law of gravitation.

Topic
No.

39

## Suggested Readings: 13.3, 13.4

Suggested Exercises: 13.17, 13.19, 13.21, 13.23
Gravitational potential
energy
Motion of satellites

## Keplers laws and the

motion of the planets

## Define gravitational potential energy using Newton's law of gravitation.

Solve problems involving gravitational potential energy in physical
systems.
Relate the speed, orbital period, and mechanical energy of a satellite in
a circular orbit.
Differentiate closed and open orbits.
Calculate planetary or satellite motion-related quantities.

40

## Suggested Readings: 13.5

Suggested Exercises: Q13.17, 13.25, 13.71, 13.73, 13.77
Relate Keplers three laws with Newtons law of gravitation and
conservation of angular momentum.
Solve problems using Kepler's laws.

41

## Chapter 14: Periodic Motion (~ 4 hours)

Topics

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 14.1, 14.2

Suggested Exercises: 14.2, 14.3, 14.5, 14.6, 14.7, 14.11
Describing oscillation
Simple harmonic motion

## Relate the quantities associated with oscillating systems.

Define simple harmonic motion.
Obtain kinematical quantities from the equation of simple harmonic
motion.

42

## Suggested Readings: 14.3

Suggested Exercises: 14.27, 14.31, 14.32
Energy in simple harmonic
motion

Applications of simple
harmonic motion
The simple pendulum
The physical pendulum

Damped Oscillations
Forced Oscillations

## Relate mechanical energy to the quantities associated with simple

harmonic motion.
Apply conservation laws to systems undergoing simple harmonic
motion.

43

## Suggested Readings: 14.4, 14.5

Suggested Exercises: 14.37, 14.45, 14.48, 14.49
Identify the period and the frequency of spring-mass system, simple
pendulum and physical pendulum.
Analyze the motion of an oscillating system in terms of period,
frequency and energy.
Differentiate a simple pendulum with a physical pendulum.
Suggested Readings: 14.6, 14.7, 14.8
Suggested Exercises: 14.52, 14.55, 14.59, 14.63
Distinguish the different regimes of damped oscillations.
Explain the effects of driving conditions on forced oscillations.

## THIRD LONG EXAM

Date: May 16, 2016 (Monday)

8

Room: TBA

44

45

Topics

## Types of mechanical waves

Periodic waves
Mathematical description of
wave
Speed of a transverse wave

Objectives
After the discussion and lined up activities, you should be able to:

Topic
No.

## Suggested Readings: 15.1, 15.2, 15.3, 15.4

Suggested Exercises: 15.1,15.3, 15.5, 15.7, 15.15, 15.19, 15.21
Describe and distinguish mechanical wave, periodic wave, and
sinusoidal wave.
Relate wave quantities of a sinusoidal wave.
Identify wave quantities from a given sinusoidal wave function and vice
versa.

46

## Suggested Readings: 15.5, 15.6

Suggested Exercises: 15.25, 15.27, 15.33
Energy in wave motion
Wave interference,
boundary conditions, and
superposition

## Relate speed and amplitude with energy and power of waves on a

string qualitatively.
Describe the intensity of waves that travel in 3D, such as sound waves
and seismic waves.
Describe qualitatively the superposition of waves.
Describe the consequences of different boundary conditions of waves
on a string.

47

## Suggested Readings: 15.7, 15.8

Suggested Exercises: 15.37, 15.41, 15.43, 15.45, 15.49
Standing waves on a string
Normal modes of a string

## Describe standing waves on a string.

Describe the condition for standing waves on a string.
Identify the normal modes of a string.
Utilize the standing wave modes to calculate the speed of the wave on
a string.

48

## Chapter 16: Sound and Hearing (~ 1 hour)

Topics

Doppler effect

Objectives
After the discussion and lined up activities, you should be able to:
Suggested Readings: 16.8
Suggested Exercises: 16.43, 16.45, 16.47,
Relate the frequency and wavelength of sound with the motion of the
source and the listener.

FINAL EXAM
Date: May 25, 2016 (Wednesday)

Room: TBA

## I hereby conform with the Physics 71 Course guidelines by affixing my signature:

___________________________________________
(Signature over printed name)

Topic
No.
49
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