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  1. Главная
  2. ›STUDY GUIDE
  3. ›Gymnasium, Oberstufe и Abitur
  4. ›German Gymnasium Klasse 10
  5. ›Physics
  6. ›Erhaltungssätze

German Gymnasium Klasse 10 / Physics / Curriculum

Erhaltungssätze

Erhaltungssätze: structured theory, worked examples, answered practice, and a mastery checklist for German Gymnasium Klasse 10.

Цели обучения

  • ✓Describe “Impulserhaltung” using evidence from observation, measurement, or a model.
  • ✓Describe “Energieerhaltung” using evidence from observation, measurement, or a model.
  • ✓Describe “Arbeit” using evidence from observation, measurement, or a model.
  • ✓Describe “Leistung” using evidence from observation, measurement, or a model.
  • ✓Describe “Anwendungen auf Stöße” using evidence from observation, measurement, or a model.

Ключевые идеи и проверки

  • I define an appropriate conservation system.
  • I compare initial and final states.
  • Every solution or explanation for “Erhaltungssätze” should include a method, justification, and final check.

Раздел

Основная теория

Ключевые идеи главы в понятной последовательности перед практикой.

01

System and transfer

Define the system and identify how energy or momentum is transferred. Conservation applies to the correct system and time interval.

02

Initial and final states

Write initial and final quantities before substituting numbers. This exposes losses, external work, and direction.

03

Power and rate

Energy describes an amount, while power describes its transfer rate. Do not compare systems using work alone when time matters.

04

Impulserhaltung

For “Impulserhaltung”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

05

Energieerhaltung

For “Energieerhaltung”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

06

Arbeit

For “Arbeit”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

07

Leistung

For “Leistung”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

08

Anwendungen auf Stöße

For “Anwendungen auf Stöße”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

Physics

Разобранные примеры

Следуйте методу шаг за шагом и проверяйте обоснование каждого шага.

Worked energy example

A 3 kg body moves at 4 m/s. Find its kinetic energy and momentum.

  1. 1Ek = 1/2 mv² = 1/2 · 3 · 4².
  2. 2p = mv = 3 · 4.
  3. 3Check that the units are J and kg·m/s respectively.

Ek = 24 J, p = 12 kg·m/s

Reasoning example

Before calculating, explain the key idea from “Impulserhaltung” and which conditions must be checked.

  1. 1Define the idea in one clear sentence.
  2. 2Connect it to a representation, law, or formula.
  3. 3State a restriction, unit, or final check that makes the solution valid.

The answer should show not only which rule is used for “Impulserhaltung”, but also why it is valid here.

Erhaltungssätze

Практика с ответами

Восемь заданий от базовых навыков до экзаменационного уровня. Сначала решите самостоятельно.

Базовый навык4 минут

A 9 kg mass moves at 3 m/s. Find kinetic energy.

Подсказка

Ek=1/2 mv².

Ответ

Ek=40.5 J.

Базовый навык5 минут

A machine transfers 2500 J in 25 s. Find power.

Подсказка

P=E/t.

Ответ

P=100 W.

Применение6 минут

Structure a solution for “Arbeit”: givens, SI units, law, substitution, and interpretation.

Подсказка

State the law before substituting numbers.

Ответ

A full solution states symbols/units, selects a valid law for “Arbeit”, shows substitution and calculation, and interprets the result.

Применение7 минут

Identify three uncertainty sources in measuring “Leistung” and improve each one.

Подсказка

Consider instrument resolution, reaction time, repeats, and controls.

Ответ

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Обоснование8 минут

Plan a suitable graph for “Anwendungen auf Stöße” data and explain how to obtain a gradient or relationship.

Подсказка

Put the independent variable on x and dependent variable on y.

Ответ

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Обоснование9 минут

Check whether a result for “Anwendungen auf Bewegungen” is sensible using units, order of magnitude, and a limiting case.

Подсказка

A check should not merely repeat the same calculation.

Ответ

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Экзаменационный10 минут

Connect “Impulserhaltung” to energy conservation or a force/field model and justify the choice.

Подсказка

Define the system and interactions.

Ответ

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

Экзаменационный12 минут

Write a multi-step exam response about “Energieerhaltung” with calculation and evaluation.

Подсказка

Separate givens, model, calculation, result, and evaluation.

Ответ

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

Частые ошибки

  • Applying conservation while ignoring an external interaction.
  • Confusing energy, force, and power.
  • Ignoring direction in momentum or collision work.

Проверка понимания

  • ✓I define an appropriate conservation system.
  • ✓I compare initial and final states.
  • ✓I distinguish energy, work, momentum, and power.

Erhaltungssätze

Домашняя работа по главе

Шесть разных заданий от базового уровня до сложного с временем, подсказками и ответами.

Базовый8 минут

Homework 1: A 5 kg mass moves at 4 m/s. Find kinetic energy.

Подсказка

Ek=1/2 mv².

Ответ

Ek=40 J.

Базовый10 минут

Homework 2: A machine transfers 4800 J in 30 s. Find power.

Подсказка

P=E/t.

Ответ

P=160 W.

Углубленный12 минут

Homework 3: Structure a solution for “Arbeit”: givens, SI units, law, substitution, and interpretation.

Подсказка

State the law before substituting numbers.

Ответ

A full solution states symbols/units, selects a valid law for “Arbeit”, shows substitution and calculation, and interprets the result.

Углубленный15 минут

Homework 4: Identify three uncertainty sources in measuring “Leistung” and improve each one.

Подсказка

Consider instrument resolution, reaction time, repeats, and controls.

Ответ

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Сложный18 минут

Homework 5: Plan a suitable graph for “Anwendungen auf Stöße” data and explain how to obtain a gradient or relationship.

Подсказка

Put the independent variable on x and dependent variable on y.

Ответ

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Сложный20 минут

Homework 6: Check whether a result for “Anwendungen auf Bewegungen” is sensible using units, order of magnitude, and a limiting case.

Подсказка

A check should not merely repeat the same calculation.

Ответ

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

50 минут / 40 баллов

Полный тест по главе

Полный тест с таймером, баллами и образцами ответов.

Таймер теста

Готов к запуску

Осталось времени: 50:00

Start the timer when ready, work without notes, show every step, and open model answers only after finishing.

1. A 3 kg mass moves at 4 m/s. Find kinetic energy.

2 баллов
Ответ

Ek=24 J.

2. A machine transfers 3600 J in 30 s. Find power.

3 баллов
Ответ

P=120 W.

3. Structure a solution for “Arbeit”: givens, SI units, law, substitution, and interpretation.

3 баллов
Ответ

A full solution states symbols/units, selects a valid law for “Arbeit”, shows substitution and calculation, and interprets the result.

4. Identify three uncertainty sources in measuring “Leistung” and improve each one.

4 баллов
Ответ

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

5. Plan a suitable graph for “Anwendungen auf Stöße” data and explain how to obtain a gradient or relationship.

4 баллов
Ответ

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

6. Check whether a result for “Anwendungen auf Bewegungen” is sensible using units, order of magnitude, and a limiting case.

4 баллов
Ответ

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

7. Connect “Impulserhaltung” to energy conservation or a force/field model and justify the choice.

5 баллов
Ответ

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

8. Write a multi-step exam response about “Energieerhaltung” with calculation and evaluation.

5 баллов
Ответ

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

9. Compare two methods for investigating “Arbeit” and select the more reliable using criteria.

5 баллов
Ответ

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

10. Create an extension question about “Leistung”, a prediction, and a data-collection plan.

5 баллов
Ответ

A full response gives a testable question, justified prediction, independent-variable range, repeats, and an analysis method.

Раздел

Официальные источники

Источники программы; порядок тем уточняйте в школе и у преподавателя.

Thüringer Schulportal - LehrpläneOfficial Thüringen curricula by stage and subject.

Physics

German Gymnasium Klasse 10: структурированный маршрут по математике и физике с главами, практикой и следующими шагами.

Назад к предмету

Что покрывает глава

Структура следует учебнику и помогает организовать изучение темы.

Impulserhaltung
Energieerhaltung
Arbeit
Leistung
Anwendungen auf Stöße
Anwendungen auf Bewegungen

Где сфокусироваться

Темы, где чаще возникают ошибки или нужна дополнительная практика.

I define an appropriate conservation system.
I compare initial and final states.
I distinguish energy, work, momentum, and power.

Источники, ежедневные материалы и ресурсы

С чего начать: учебник, daily material, PDFs, videos и worked examples.

Start from the official textbook or specification referenced on the subject page.
Use the notes and examples as support, not as a replacement for the official syllabus.
Check the current syllabus version before exam preparation.

Практика по подтемам

Целевая практика перед full tests, чтобы coverage было понятным.

A 9 kg mass moves at 3 m/s. Find kinetic energy.
A machine transfers 2500 J in 25 s. Find power.
Structure a solution for “Arbeit”: givens, SI units, law, substitution, and interpretation.
Identify three uncertainty sources in measuring “Leistung” and improve each one.
Plan a suitable graph for “Anwendungen auf Stöße” data and explain how to obtain a gradient or relationship.
Check whether a result for “Anwendungen auf Bewegungen” is sensible using units, order of magnitude, and a limiting case.
Connect “Impulserhaltung” to energy conservation or a force/field model and justify the choice.
Write a multi-step exam response about “Energieerhaltung” with calculation and evaluation.

Mocks и проверка прогресса

Как измерять прогресс по главе и когда включать ее в общий mock.

Start with untimed practice by subtopic.
Move to a short timed checkpoint only after completing the mastery checklist.
Record each error with the correct method and revisit it after 48 hours.

Следующий шаг

Что делать после главы и как она связана со следующим разделом.

Complete the practice without support.
Explain the core method aloud in under two minutes.
Continue to the next chapter or request targeted tutor support.

Примечание: официальную экзаменационную программу каждого года всегда уточняйте в школе, у преподавателя и по текущим официальным источникам.

Глава 2 из 4

← Предыдущая главаBewegungen und KräfteСледующая глава →Kreisbewegung, Schwingungen und Wellen
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