Notes, summaries, assignments, exams, and exercises for Physics for Baccalaureate

Scientific Theory: A set of principles and laws capable of explaining a particular aspect of nature.

Physical Property: Any observable property of bodies which could be objectively quantified by a measurement process.

Physical Unit: Any arbitrary amount of a magnitude that is adopted by agreement as a pattern to that magnitude.

Types of Magnitudes

Extensive and intensive, scalar and vector.

• Intensive: All quantities whose numerical value does not depend on the size of the body being studied. Those that depend on the value of body size are extensive.

Scalar Quantities

Those that are completely defined by a numerical value and its corresponding unit.

Vector Quantities

Are those for which, besides the numerical value and the appropriate unit, you need...

Quantum Physics: Foundations and Paradoxes

The atomic world began to reveal surprising and paradoxical characteristics from the viewpoint of classical or Newtonian physics.

The Wave-Particle Duality

Based on the investigations of Einstein and Planck, the wave-particle duality destroys the traditional opposition between matter and energy. Traditionally, it was felt that matter was discontinuous and particulate in nature, while energy was considered continuous and wavelike. Conversely, according to quantum physics, both matter and energy behave as particles and waves.

Planck discovered that energy is not emitted continuously but in quanta (discontinuous packets). Shortly after, Einstein identified light quanta, which he called photons. De Broglie...

Core Concepts of Motion

• Average Speed and Velocity: The average of initial and final velocity, often plotted on a graph.
• Dynamics: The study of movement and its underlying causes.
• Kinematics: The study of movement independent of its causes. Every movement involves a mobile object following a specific path (trajectory).

Distance and Displacement

• Distance: A scalar quantity representing how far an object travels.
• Displacement: A vector quantity representing the distance plus the direction.

Speed and Velocity Definitions

• Speed: A scalar quantity defined as the ratio of distance to a time interval.
• Velocity: A vector quantity defined as the ratio of displacement to a time interval.
• Instantaneous Velocity and Speed: The measurement of motion at an arbitrary

San Pietro in Montorio, Bramante, 1502

Religious Architecture, Cinquecento, Rome

Introduction: This is an early work of Bramante in Rome. It is a chapel, built between 1502-1503, located in a small courtyard. According to tradition, Saint Peter was crucified on this site. It is a model of a religious building with a central plan, inspired by the Hellenistic *monopteros* temples, and its elevation recalls the Temple of the Sibyl at Tivoli.

Analysis and Features: It is considered the aesthetic ideal of the Renaissance in the 16th century. This architectural ideal is achieved by using:

• A monumental and grandiose architectural language, achieved through a rigorous study of the proportions of each part of the building.
• The creation of a complete architectural

Kinematics and Motion Description

Career Path

The career is the line formed by the various points a body follows along its path.

Reference System

A reference system is a point or a set of points used to describe the motion of a body.

Vector of a Point

The vector of a point is that defined by the origin of the chosen reference system and the point P.

Instantaneous Velocity

Instantaneous velocity is the limit that the average velocity vector approaches when the time interval approaches zero.

Vector Speed

Vector speed is the limit that the average acceleration vector approaches when the time interval $\Delta t$ approaches zero.

Physical Magnitudes

Scalars

Scalars are determined by a real number and a unit.

Vectorial Magnitudes

Vectorial magnitudes are completely...

Chapter 29: The Magnetic Field

Magnetic Poles and Materials: Like poles repel (+ +), opposite poles attract (+ -). Paramagnetic materials are magnetized only in the presence of a strong external magnetic field. Magnetic flux flows from north to south.

Gauss's Law for Magnetism

The magnetic flux through any closed surface is always zero. There is no way to isolate a north or south magnetic pole (no magnetic monopoles).

The most elementary electric field is from a point charge (a static charge), while the most elementary magnetic flux density is from a magnetic dipole (a small magnet or magnetic bar).

The induced magnetic dipole always has an opposite pole facing the solenoid.

Solenoid:

An electric charge experiences a magnetic force in a magnetic field,...

Core Thermodynamic Principles

• Calorimetry: Measures heat transfer in a process.
• Absolute Zero: Lowest temperature; no molecular motion (0 K).
• Clausius Statement: Heat does not flow from cold to hot by itself.
• Enthalpy: Total heat content (H = U + PV).
• Entropy: Measure of disorder; increases in natural processes.
• Diffusion: Particles move from high to low concentration.
• Efficiency: Useful output divided by energy input.
• Gibbs Free Energy: Energy available to do work (G = H - TS).
• Internal Energy: Energy stored inside a system.
• Heat Capacity: Heat needed to raise an object's temperature by 1°C.
• Latent Heat: Heat for phase change without temperature change.
• Quasistatic Process: Very slow, system stays in equilibrium.
• Reversible Process: Can go backward with

Newton's Law of Universal Gravitation

What is Gravity?

Sir Isaac Newton described gravity as a force of attraction between all objects. This force is proportional to the masses of the interacting bodies. The more massive the objects, the stronger the gravitational pull between them.

The Moon's Rotation

. How is it that gravity is so weak yet so influential? Although gravity it is considered to be the weakest force of nature, it may be weak here on Earth, but it's not so weak across the cosmos. This invisible force varies on all the planets in the solar system and on the exoplanets we've discovered orbiting other suns. And that's because gravity is an additive force. It scales with mass, so the more massive the planet or star, the stronger its...

Earth, Moon, and Space: Key Concepts

1. Day and night are caused by:

   d. Earth's rotation on its axis.

2. Earth's rotation takes about:

   c. 24 hours.

3. One complete revolution of Earth around the sun takes about:

   c. one year.

4. Earth has seasons because:

   c. Earth's axis is tilted as it moves around the sun.

5. When the north end of Earth's axis is tilted toward the sun, North America will experience:

   d. more direct rays and longer days.

6. In the Southern Hemisphere, the summer solstice occurs when the sun is directly overhead at:

   b. 23.5° south latitude.

7. An equinox occurs when:

   a. neither end of Earth's axis is tilted toward nor away from the sun.

8. Because the moon rotates once for each revolution around Earth,

   c. you never see the far side of the moon.

9. The phase of the moon

Acoustics and Noise Principles

1. What is sound, from a technical perspective?

Answer: Sound is a mechanical vibration of a physical medium. It is a longitudinal wave that travels through the air.

2. When addressing a noise problem, what measures can be taken? Explain clearly.

Answer: Isolate the source with a solid, low-density material.

3. My neighbor's stereo is at 40 dB:

Answer: Chilean law considers a maximum of 45 dB between 9 PM (21:00 hrs) and 7 AM (07:00 hrs). Therefore, a personal solution would involve covering my ears or isolating my room.

4. A sound pressure measured in atmospheres is 2 atm. Calculate the noise intensity and discuss the obtained value.

5. Name three standards that can be referenced to solve a neighborhood noise problem: