Notes, summaries, assignments, exams, and problems for Secondary education

Základné definície: Hybnosť a Impulz sily

Hybnosť (p) je definovaná ako súčin hmotnosti telesa (m) a jeho rýchlosti (v): $p = m \cdot v$.

Impulz sily (I) je definovaný ako zmena hybnosti, teda $I = \Delta p = F \cdot \Delta t$, kde $F$ je sila a $\Delta t$ je čas, počas ktorého táto sila pôsobí.

Príklady výpočtu hybnosti (p)

1. Hybnosť auta

• Hmotnosť: $m = 1000 \text{ kg}$
• Rýchlosť: $v = 90 \text{ km/h} = 25 \text{ m/s}$
• Výpočet: $p = m \cdot v = 1000 \text{ kg} \cdot 25 \text{ m/s} = 25\,000 \text{ kg}\cdot\text{m/s}$

2. Zmena hybnosti vlaku

• Hmotnosť: $m = 30 \text{ ton} = 30\,000 \text{ kg}$
• Počiatočná rýchlosť: $v_1 = 50 \text{ km/h} \approx 13.89 \text{ m/s}$
• Konečná rýchlosť: $v_2 = 80 \text{ km/h} \approx 22.22

Vocabulary and Idiomatic Expressions

Migration and Society

• A spike in: Un pico de algo
• Cutting-edge technology: Tecnología avanzada
• Displace: Desplazar
• Emigrate: Emigrar
• Entrepreneurship: Espíritu emprendedor
• Fabric of society: Estructura de la sociedad
• Get out of control: Fuera de control
• Go-getter: Ambicioso
• Immigrate: Inmigrar
• Innovation: Innovación
• Melting pot: Crisol
• Migrate: Migrar
• Settle: Instalarse
• Trace your ancestry: Trazar tus ancestros
• Uproot: Arrancar

Family and Lifestyle

• Coordinate: Coordinar
• Distribute: Distribuir
• Eliminate: Eliminar
• Encounter: Tener un encuentro
• Extended family: Familia lejana
• Lifestyle choice: Elección de estilo de vida
• Preserve: Preservar
• Standard of living: Estándar de vida
• Threaten: Amenazar

Idioms and Phrases

• Get out of bed on

Circulatory System

Blood is a viscous, red, and saline liquid (approximately 5 liters). It is composed of:

• Plasma (55%): A yellowish liquid made of water and substances such as nutrients and hormones.
• Blood Cells: Produced in the bone marrow, there are three types:
  • Red blood cells (erythrocytes): Transport oxygen from the lungs to the cells using a red protein called hemoglobin.
  • White blood cells (leukocytes): Essential components of the immune system.
  • Platelets: Fragments of cells that function to stop bleeding.

Blood Functions

• Transport nutrients
• Transport oxygen and carbon dioxide
• Transport waste products
• Regulate body temperature
• Participate in the immune system
• Prevent hemorrhages

Blood Vessels

• Arteries: Transport blood from the heart to the organs.

Napoleon

In 1802, Napoleon was named First Consul for life after his victory in Italy. In 1804, he was declared Emperor. He established the Civil Code, covering marriage, divorce, education, and inheritance.

Napoleon conquered many areas of Europe and spread Enlightened policies, but Austria, Prussia, and Great Britain tried to prevent it. Napoleon also had many problems when he invaded Spain and Russia. Finally, Napoleon was defeated at the Battle of Waterloo in 1815.

Napoleon in Spain

Napoleon's Occupation of Spain

Charles IV and his minister Manuel Godoy supported Napoleon against Britain, but Spain was defeated at the Battle of Trafalgar (1805).

In 1807, Spain and France signed the Treaty of Fontainebleau, by which Charles IV let the French troops... Continue reading "Napoleon's Reign and the Spanish War of Independence" »

Irregular Verbs List (G-W): English Conjugation and Spanish Meaning

Master the conjugation of essential English irregular verbs starting from G through W. This comprehensive table provides the Infinitive (Base Form), Past Simple, Past Participle, and the corresponding Spanish translation.

Reflexive Pronouns

• I = me = myself (e.g., I bought myself a new shirt)
• You = you = yourself
• He = him = himself
• She = her = herself (e.g., She makes all her clothes herself)
• It = it = itself
• We = us = ourselves
• You = you = yourselves
• They = them = themselves

Each other: Used when the action is reciprocal (e.g., Tom and Sue were talking to each other / Tom talks to Sue and Sue talks to Tom).

Vocabulary: Clothes and Commerce

• Baggy jeans: pantalones anchos
• A hooded sweatshirt: polerón con capucha
• A suit and tie: traje y corbata
• A miniskirt: minifalda
• A top hat: sombrero de copa
• Underwear: ropa interior
• Trousers: pantalones de tela
• Wardrobe: guardarropa
• Crop: cultivo
• Denim: mezclilla
• Cheap: barato
• Throw away: desperdiciar

Past Simple

Affirmative

I/you/he/she/it/we/they watched. Translation: I watched.

Negative

I/you/he/she/it/we/they didn't watch.

Interrogative

Did I/you/he/she/it/we/they watch?

Past Continuous

Affirmative

I/he/she/it was watching Translation: I was watching.

we/they/you were watching

Negative

I/he/she/it wasn't watching

we/they/you weren't watching

Present Simple

Affirmative

I/you/we/they play Translation: I play

he/she/it plays

Negative

I/you/we/they don't play

he/she/it doesn't play

Present Continuous

Affirmative

I am reading Translation: I am reading

He/she/it is reading

we/they/you are reading

Negative

I am not reading

He/she/it isn't reading

we/they/you aren't reading

Present Perfect

Affirmative

I/you/we/they have finished Translation: I have finished

he/she/it has finished

Negative

I/... Continue reading "Essential English Grammar Reference" »

Plant Anatomy and Reproduction

The flower, which is responsible for reproduction, has a female part: the carpel, and a male part: the stamen. The female gametes (ovules) are produced in the ovary inside the carpel, while the male gametes are called pollen grains. Petals attract animals and protect the flower, while sepals cover and protect the other parts of the flower.

As a result of fertilization, a seed develops, which is responsible for the survival and dispersal of the plant.

3. Reproduction in Plants

Aquatic organisms often use water as a medium for transporting their gametes and for fertilization. On land, the vast majority of plants have developed mechanisms of reproduction that make their fertilization independent of water. Plants can... Continue reading "Plant Reproduction and Photosynthesis Explained" »

Understanding Earth's Dynamic Processes

Earthquakes and volcanic eruptions are fundamental geological events caused by movements within the Earth's lithosphere, specifically the interaction of tectonic plates.

The Earth's Moving Plates

The Earth's outer layer is composed of large sections called plates. These plates consist of two primary types of crust:

• Continental Crust: This type of crust is generally older, lighter, and does not readily sink back into the mantle. It is considered permanent.
• Oceanic Crust: In contrast, oceanic crust is younger, heavier, and can sink (subduct) into the mantle. It is constantly being destroyed and replaced through geological processes.

Plate Margins: Where Plates Interact

The boundaries where two plates meet are... Continue reading "Earth's Dynamic Plates: Earthquakes, Volcanoes, and Landforms" »

Porifera and Cnidarians: Structure

Porifera (sponges) and Cnidarians (anemones, corals, and jellyfish) are simple, aquatic invertebrates.

Porifera (Sponges)

• Mostly marine, some freshwater species
• Bag-shaped body with pores that communicate with the atrial cavity
• The atrial cavity connects with the exterior through the osculum
• High capacity for regeneration

Cnidarians

• Anemones, corals, and jellyfish (all marine), hydra (freshwater)
• Radial symmetry
• Soft body with a single opening surrounded by tentacles
• Stinging cells (cnidocytes)
• Gastrovascular cavity that functions as a stomach
• Carnivorous
• Two forms:
  • Polyps: Tubular, bag-shaped with the opening at the top
  • Medusae: Umbrella-shaped, actively swim or float in the water

Worms: Platyhelminthes, Nematodes, and Annelids

Worms... Continue reading "Invertebrate Animals: Characteristics and Classification" »