Gravity
The inverse square law explains planetary motion - and apples falling. Newton's law, measuring G, calculating orbits.
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Torques produce angular acceleration, moment of inertia 'resists' it. Rotational kinetic energy and angular momentum.
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p=mv. If external forces are zero, momentum is conserved. In collisions, energy may be conserved (elastic) or not (inelastic).
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In finite objects, the total external force equals the total mass times the acceleration of a point called the centre of mass.
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The total work done on an object equals the increase in its kinetic energy. For conservative forces, we can define potential energy.
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Carefully distinguish mass and weight. Hooke's law quantifies deformation. Contact forces have normal and frictional components.
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F=ma (laws 1&2). Forces come in pairs that add to zero (3). Newton's laws apply in inertial frames of reference. Some common approximations made in applying them.
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In simple harmonic motion, displacement, velocity and acceleration vary sinusoidally with time, but with different phases.
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Uniform circular motion: angular displacement and velocity are introduced and centripetal acceleration is determined.
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Motion with uniform acceleration, such as in a uniform gravitational (or electric) field is projectile motion, analysed here with examples.
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Kinematics quantifies motion without explaining the causes of it. Here we study accelerations that are zero, positive or negative.
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How extending Galileo's relativity to magnetism leads to Einstein's relativity, time dilation, length contraction, relativity of simultaneity and E=mc2 .
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