Worked Examples for Energy

These worked examples will help to solidify your understanding towards the concept of conservation of energy and energy conversion. Worked Example 1: Speeding Projectile A projectile of mass 0.02 kg travels at a speed of $1200 \text{ m s}^{-1}$. Calculate its kinetic energy. Worked Example 2: Lifting Object An object with a mass of 5 kg is lifted vertically through …

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Case Study 2: Energy Conversion for A Bouncing Ball

Consider a ball with mass $m$ dropped from a height of $h_{\text{initial}}$ m from the ground. Stage 1: Initially, the ball will be at height $h$ m above the ground and will have the following properties: Gravitational Potential Energy of $mgh_{\text{initial}}$ Kinetic Energy: 0 Since the ball will be falling, the gravitational potential energy will be converted into kinetic energy …

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Case Study 1: Energy Conversion for An Oscillating Ideal Pendulum

Consider an ideal pendulum (as shown in the diagram below). Note that ideal pendulum means that there is no energy lost to overcome air resistance and friction during oscillation. When a pendulum is displaced to one side (Point A), it gains gravitational potential energy. The amount of gravitational potential energy gained will be $mgh$, where h is the height difference …

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Equations of Motion

Important Kinematics Equations! (Memorize them!) These equations are known as equations of motion. They are only valid if the acceleration is CONSTANT (UNIFORM acceleration). $$v = u + at \tag{1}$$ $$s = ut + \frac{1}{2} at^{2} \tag{2}$$ $$s = \frac{1}{2} (u + v) t \tag{3}$$ $$v^{2} = u^{2} + 2as \tag{4}$$ ,Where $$v = \text{final velocity}$$ $$u = \text{ initial …

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Parallax Error and Zero Error

Parallax Error For accurate measurement, the eye must always be placed vertically above the mark being read. This is to avoid parallax errors which will give rise to inaccurate measurement. Parallax errors affects the accuracy of the measurement. If you consistently used the incorrect angle to view the markings, your measurements will be displaced from the true values by the …

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Contribute To Science With BOINC!

Have you ever wish that you are a scientist working hard at the cutting edge of research? Do you want to help humanity progress in the forefront of science? Now you can! And all you need is a working computer/ mobile device and BOINC! Introduction To BOINC   BOINC stands for Berkeley Open Infrastructure for Network Computing. BOINC is an open-source …

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