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

Earth's Gravitational Field

The gravitational field of the Earth is the disturbance that occurs in the space surrounding a body having mass. The intensity of the gravitational field at a point in space is the force with which the Earth attracts a unit mass located at that point. The weight of a body is the force with which the Earth attracts it. The gravitational potential energy of a mass m at a point in Earth's gravitational field is the work performed by the gravitational field to move the mass m from that point to infinity. The gravitational potential at a point in Earth's gravitational field is the work performed by the gravitational field to move the unit mass from that point to infinity.

• Period of revolution: Time it takes a satellite

Kinematics Formulas and Motion Equations

Vector Description of Motion

Rectilinear Motion

Circular Motion

Geocentrism: Organic & Hierarchical Universe

The geocentric model conceived of an *organic* and *hierarchical* universe, often described as a large body with separate parts. The concept of space was *closed* and *finite*, with Earth at its center.

Aristotle believed the universe was divided into two levels:

• Supralunar Orbit: Beyond the Moon, considered perfect and unchanging.
• Sublunar Orbit: Below the Moon, imperfect and subject to change.

Ptolemy adopted Aristotelian geocentrism, attributing *epicycles* and *deferents* to planetary orbits to explain their apparent displacement.

From a theological perspective, this dynamic universe posited that everything that moves is moved by another object. Hierarchically and orderly, everything is attracted...

Aqueous Humor

The aqueous humor is the first medium that light travels through, limited by the cornea. Behind it is the lens, which is a convex lens. Finally, the vitreous humor is the fluid that fills the eyeball.

Eyeball Structure

The eyeball has three layers:

1. Sclera: The outer membrane, very hard, protects the eye. It is white and opaque to the passage of light, except for the cornea.
2. Choroid: Dark in appearance. It contains the iris, which controls the passage of light by opening or closing the pupil.
3. Retina: The innermost layer, formed by light-sensitive nerve cells called rods and cones.

Accommodation of the Eye

Distance vision is possible through the lens. If an object is at infinity, the lens is at rest. To focus on closer objects, the ciliary...

Compton derivatives refer to mathematical expressions or relations derived from the Compton effect or Compton scattering, which is a quantum mechanical phenomenon. The Compton effect describes the scattering of high-energy photons (e.G., X-rays or gamma rays) off free or loosely bound electrons, leading to a change in the photon's wavelength due to energy and momentum transfer.

Key Equations and Concepts:

1. Compton Wavelength Shift:
The shift in the photon's wavelength () is given by:

\Delta \lambda = \lambda' - \lambda = \frac{h}{m_e c}(1 - \cos\theta)

: Initial wavelength of the photon.

: Scattered wavelength of the photon.

: Planck's constant ().

: Mass of the electron ().

: Speed of light ().

: Scattering angle of the photon.

2. Compton Wavelength...

The Scientific Method and Celestial Motion

In the Scientific Method, a hypothesis must be both testable and falsifiable. When observing the heavens, sidereal measurements are relative to the stars, while synodic measurements are relative to the Sun; for instance, the Moon is full every synodic month.

Kepler's Laws of Planetary Motion

• Kepler's 1st Law: Orbits are ellipses with two foci; the Sun is at one focus. A higher eccentricity (e) indicates a more elliptical orbit.
• Kepler's 2nd Law: The Law of Equal Areas.
• Kepler's 3rd Law: P² = a³, where P is the period in years and a is the semi-major axis in AU.

The Solar System Rotation Curve is defined by the formula v = sqrt(GM/r), where v is orbital velocity and r is the distance from the Sun.

Newtonian

Formulas to Calculate Pressure

P=pgh P=F/A Pabs=Pgauge+Patm P=Pa p=kg/m3 g=m/s2 h=m

Newtons and Pascal

P=Pa Pa=N/m2 Pa in 1 atm 101,325Pa

Archimedes Principle of Buoyancy

An object submerged in any fluid will experience a buoyant force equal to the weight of the fluid it has displaced.

Pressure

Air pressure in the wheels of the car, buoyancy: (the force that makes objects float) the boat floats because the fluid is denser than the object.

Buoyancy

Fw =m*g p=m/v Fb=Fa+Fw

Waves

Regards to medium mechanical waves (need a medium), electromagnetic (can propagate in a vacuum), regards to propagation longitudinal (parallel to the direction of the propagation), transverse (perpendicular), circular (waves on water, circular fashion).

Classify Sounds Waves

Lower...

Lens

What is a real image?

An image where real rays intersect

What is a virtual image?

An image that appears to be coming from behind the mirror

Describe the law of reflection as a relationship between the angle of incidence, the angle of reflection, and the normal.

The angle of incidence, angle of reflection and normal all lie in the same plane

Describe the kinds of images that can be formed by plane mirrors.

Only virtual images, little distortion

What type of mirror produces only diverging rays?

Convex

What type of mirror can produce both converging and diverging rays?

Concave

Describe what kind of mirror you would use if you needed to view a large, spread-out area in a small mirror.

Convex

Compare the shapes of convex and concave mirrors. How are they

Electromagnetic Wave Fundamentals

An electromagnetic wave is a disturbance that propagates through space due to the simultaneous oscillation of electric and magnetic fields. Unlike mechanical waves, they do not require a medium for propagation and can travel through a vacuum.

Properties of Electromagnetic Waves:

• They travel at the speed of light (c) in a vacuum (approximately 3 x 10⁸ m/s).
• They exhibit typical wave properties, such as interference and diffraction.
• Wavelength (λ) and frequency (f) are related by the equation: c = λf.

Examples include: visible light, radio waves, TV waves, microwaves, and X-rays.

The Speed of Light in Vacuum

The propagation speed (c) of electromagnetic waves in a vacuum is calculated using the formula:

c = 1 / √(