Algebra AS and A level

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Quiz 1

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Moments

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Quiz 1:   Fullscreen Mode Theory of Moments Theory of Moments What is a Moment? The moment of a force is the turning effect produced by a force acting at a distance from a pivot or fulcrum. It depends on: The magnitude of the force (\(F\)) The perpendicular distance (\(d\)) from the line of action of the force to the pivot The formula for calculating the moment is: Moment (\(M\)) = Force (\(F\)) × Perpendicular Distance (\(d\)) Unit: Newton meter (Nm) Law of Moments The law of moments states that for a system in equilibrium: Sum of Clockwise Moments = Sum of Anticlockwise Moments This means there is no net turning effect on the body. Conditions for Equilibrium A body is in equilibrium when: The sum of all forces acting on it is zero (no net force). The sum of all moments about any point is zero (no net moment). Examples and Applications Example 1: Balanci...
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SASMO Primary

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Quiz 1:   Fullscreen Mode Quiz 2:   Fullscreen Mode      SASMO: Singapore and Asian Schools Math Olympiad                    SASMO: Singapore and Asian Schools Math Olympiad          The Singapore and Asian Schools Math Olympiad (SASMO) is one of the largest and most prestigious mathematics competitions in Asia, attracting over 35,000 participants from 38 countries in recent years. Established in 2006, SASMO aims to discover, encourage, and challenge mathematically gifted students from Singapore and other Asian countries.          Overview of SASMO          SASMO is organized by the Singapore International Math Contests Centre (SIMCC) and supported by non-profit foundations such as the Scholastic Trust Singapore (STS) and the SASMO Advisory Council (SAC). The competition is designed to stretch the untapped thinking potential of students, enhancing their performance in school mathematics and developing higher-order thinking skills (HOTS).              ...
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Radioactivity

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Audio Podcast Quiz 1:   Fullscreen Mode Quiz 2:   Fullscreen Mode Other note 1 source Other note 2 source  5.2.1 Detection of radioactivity ## Radioactivity Detection Radioactivity is the process of releasing radiation from an unstable atomic nucleus. We are all exposed to radiation from various sources every day. Let's discuss some important things about radioactivity: ## Background Radiation Sources Background radiation comes from a variety of sources, both natural and artificial: - Cosmic rays from the sun - Radon gas in the air - Radon-containing granite rocks - Potassium-40 in food - Medical procedures that use radioisotopes - Nuclear power plants and the rest of the nuclear bomb tests ## Ionization Effect Radiation can cause ionization, which is the process of releasing electrons from atoms or molecules. This can be evidenced by: Electroscope Experiments: - When a fire or radium source is brought close to a charged electroscope, the charge is los...
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