Notes, summaries, assignments, exams, and problems for Physics

Chapter 1: Dimensional Analysis and Measurement

Understanding Dimensions and Models

Dimensional analysis is a method used to verify the correctness of physical relationships by examining the dimensions of the quantities involved. A model is a representation or analogy that helps us understand complex phenomena by relating them to something familiar.

Trigonometry and Accuracy

Trigonometry, the study of triangles and their relationships, plays a crucial role in physics. Accuracy refers to how close a measurement is to the true value.

SI Units and the Search for Order

The International System of Units (SI) provides standardized units for scientific measurements. The SI unit of time is the second, the unit of length is the meter, and the unit of mass... Continue reading "Understanding Physics Concepts: Motion, Measurement, and Mathematical Tools" »

Gravity Method

The weight of any body depends on the force of gravity at that location.

The force of gravity varies with elevation, rock density, latitude, and topography.

When a mass is suspended from a spring, the amount of spring stretching is proportional to the force of gravity.

F=m.g

Where:

• g: Acceleration of gravity.

Since mass is constant, then stretch variations determine the variations in the acceleration of gravity (g).

A gravimeter is an instrument used to measure (g) at stations. The readings are corrected for elevation, latitude, and topography. The normal value of (g) is subtracted from the corrected readings to compute the residual gravity.

The values of residual gravity are plotted at the measuring stations to produce a contour map... Continue reading "Gravity, Magnetic, and Seismic Geophysical Methods" »

Understanding Light

What is Light?

Light is a form of electromagnetic energy. Very small particles called photons move in a wave pattern.

Visible light is the light which allows you to see the colours and shapes of objects. Light can come from a natural source or an artificial source.

Some objects only emit light which they receive from other light sources. In this case, they absorb some of the light, and reflect the rest in all directions.

Objects can be transparent, translucent, or opaque. This depends on how light travels through them.

How Does Light Travel?

Light travels in a straight line. It travels in waves and does not require a medium. The speed of light, however, does depend on the medium. The speed of light in a vacuum and in the air is... Continue reading "Understanding Light: Reflection, Refraction, and More" »

Is 1984 fiction or reality?

Orwell’s novel narrates the life of Winston Smith: a dissatisfied citizen under the control of a violent, totalitarian government. In a society where love is forbidden and every action is watched, Smith finds solace in a forbidden love affair; a small act of rebellion in a world he cannot control. It is within Smith’s journey of defiance, as he becomes a target of the government, that Orwell weaves his own political analysis.

1984 is a frightening example of a totalitarian government. This government of unchallenged power controls not only the present and future of its people, but also the past. Many times the Party, the name of the government, alters the past to suit its needs. Orwell's vision is frightening because... Continue reading "1984: Fiction or Reality?" »

Factors Affecting Reaction Rates

Concentration

Increasing the concentration increases the probability of a collision between reactant particles. With more particles in the same volume, collisions are more frequent, speeding up the reaction rate. Conversely, a lower concentration leads to fewer collisions and a slower reaction rate.

Surface Area

If a solid reactant or catalyst is broken down into smaller pieces, the rate of reaction increases. This is because smaller pieces of the same mass have a greater surface area, providing more opportunities for reactant particles to collide with the surface and react.

Types of Rate Laws

Differential Rate Law: Describes how the rate of a reaction depends on the concentration of reactants (often simply called... Continue reading "Factors Affecting Reaction Rates and Rate Laws" »

Frequency (f) = 1/Time (t)

Wave Speed (v) = f * Wavelength (λ)

F_observer = (f_source * speed of sound (v)) / (v ± v_source)

Λ_observer = (v ± v_source) / d

Intensity (W m^-2) = Power / Cross Sectional Area

Intensity (I) = 1 / Amplitude²

Electromagnetic waves travel at the same speed of 3.0*10⁸ m/s in a vacuum, but have different wavelength and frequencies

The regions of the electromagnetic spectrum in order of increasing wavelength are:

• γ-rays
• x-rays
• ultraviolet
• visible
• infrared
• microwaves
• radio waves

Understanding Fringes and Interference in Young's Double Slit Experiment

A monochromatic light source is placed behind a single slit to create a small, well-defined source of light. Light from this source is diffracted at the slit producing 2 lit sources at the... Continue reading "Understanding Frequency, Wavelength, and Intensity in Physics" »

Harmonic Oscillator

In classical mechanics, a harmonic oscillator (also known as a linear oscillator or simple oscillator) is a physical system bound to a position of stable equilibrium by a restoring force proportional to the displacement from this position. A typical example of a harmonic oscillator is a mass attached to a spring. The restoring force is the elastic force F given by Hooke’s law:

F = −kx,

where x is the displacement and k is the spring constant. The motion of a body of mass m attached to the spring is governed by Newton’s second law:

[m*(d²/dt²)] * x(t) = −kx

whose general solution is:

x(t) = Acos(ωt + φ).

Here, ω = rad(k/m) is the natural oscillating frequency, A is the amplitude of the oscillation, and φ is the phase... Continue reading "Harmonic Oscillator: Definition, Applications, and Quantum Mechanics" »

If this story had been told differently, it wouldn't have mattered to anyone. The best thing about this film is the narrative. It has such an attractive and comical principle that it catches anyone. Showing the characters with insignificant details brings them closer to the ordinary mortal, so full of obsessions or supposed oddities. They and not the protagonist of the story are, in my opinion, the success of this film. Amelie is a normal character who becomes the centerpiece of a story because of her kindness. Here she appears as a modern fairy godmother, even if she replaces the magic wand with toothpaste, slippers or intentional phrases. That's why the first part of the film, where the different human stories appear, is the one I liked the... Continue reading "Amelie: A Modern Fairy Godmother and the Power of Narrative" »

Properties of Laser Light

1. Monochromaticity

Unlike discharge lamps that emit on all atomic transitions, laser emission typically corresponds to a single atomic transition of the gain medium. The spectral line width can be much smaller than the atomic transition's due to the influence of the optical cavity.

2. Coherence

Laser beams exhibit high spatial and temporal coherence.

Spatial coherence describes the regularity of the optical phase across a beam's cross-section.

Temporal coherence refers to the duration over which the beam's phase remains well-defined. The temporal coherence time (t_c) is generally the reciprocal of the spectral linewidth (ν). Consequently, the coherence length (l_c) is: l_c = ct_c = c/ν.

3. Directionality

A key characteristic... Continue reading "Properties of Laser Light: Monochromaticity, Coherence, and More" »

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What is force?

A force is a push or pull that can change the shape of an object the way that it moves. It also changes Speed and direction. You can not see. When something is moving or speeding, the force is acting.

Force arrows:

You can draw an arrow, the length of it, shows the size of force and the direction shows where is coming from.

Types:

The gravitational force, is the force that attracts you to Earth. In the earth, the force of gravity in a object is called Weight.

Electrostatic:

It acts between objects that are charged. Rubbing plastics can charge them up with electricity.

Magnetic: The magnets attract materials such as iron, steel, or nickel.

Friction:

When any object slides across a surface, the force of friction tries to stop it moving.