Mechanics: Motion, Forces, Energy and Gravity, from Particles to Planets

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  • Introduction and Basic Tools
    • This introductory section covers some basic tools you will need to solve some of the physics problems we will encounter later.
  • Velocity and Acceleration
    • Here we introduce kinematics, in which we describe and quantify movement of objects through space over time. Motion is so important to mechanics (and most of physics) that we'll spend a few weeks establishing the tools and techniques we'll need. We'll leave explaining motion to the later weeks, starting with Newton's laws in week 4. Here we study the simplest case: motion in a straight line.
  • Motion in Two Dimensions
    • Here we look at kinematics in two-dimensions – specifically, projectiles and objects in circular motion.
  • Newton's Laws of Motion
    • After describing and quantifying motion (weeks 2 and 3), we now start explaining it with Newton's three laws of motion. Knowledge of Newton's laws and the ability to apply them to various situations will allow us to explain much of the motion we observe in the world around us. They are also very important for analysing things (like bridges) that don't move much (a subject called Statics that's important in some Engineering programs). Because Newton's laws are so important, week 4 has five lessons, as well as slightly longer quizzes than the previous chapters. 
  • Weight, Friction and Spring Forces
    • We return to the difference between weight and mass. We introduce Hooke's law for elastic deformations. We consider forces between objects in contact and (for convenience) resolve them into their normal and frictional components – and as usual give you some problems to solve.
  • Work, Energy and Power
    • In week 6 we explore work and energy, then power – the rate of doing work. We'll use work and Newton's second law to derive the quantity called kinetic energy. Looking at where work comes from, we'll distinguish two sorts of force – conservative and non-conservative. That will allow us to introduce potential energy and mechanical energy. Power is the rate of doing work. We'll spend some time relating these quantities and their units to your everyday experience, relating Joules to kilowatt hours (the unit used by electricity companies) and kilowatts to horsepower and to human power.
  • Momentum and Collisions
    • It’s time for some smashing fun! Once we've defined momentum we'll use momentum to analyse elastic and inelastic collisions. Stand by for hammers, skateboards, car crashes and a bed of nails…
  • Gravity
    • For as long as history – and probably much longer – people have stared at the planets and stars and wondered. Why do they shine? What keeps them moving? Why don't they fall down? So next is gravity – and how it runs the solar system, the galaxy and the universe. Escape speed, orbits, satellite manoeuvring, black holes: yes, all of the these.