Environmental Sciences

Kinematics and dynamics of one mass point Measure theory and physical quantities. Vectors and operations between vectors. Kinematics of the mass point: velocity and acceleration. Kinetics in 3 dimensions. Motion at constant acceleration. Circular motion and centripetal acceleration. Motion of projectiles and the parabolic trajectory. Introduction to the forces. The Newton's laws Force and motion: weight force, Reaction of the constraint, static and dynamic frictional forces. Tension forces. Elastic force. Forces dependent on speed. Friction of the medium Free and damped oscillator. Apparent forces. Work and energy Work in Physics. Kinetic energy. Kinetic energy theorem Conservative and non-conservative forces The potential energy. Potential energy of the weight force and the elastic force. Conservation of mechanical energy systems and generalization to non-conservative systems. Dynamics and rotations of mass-point systems Definition of momentum. Center of mass: definition and theorems. Conservation of energy and momentum: the elastic collisions. Angular variables. Rotations of a system of mass points. Rotational kinetic energy and moment of inertia of a system of points. Second cardinal equation of dynamics. Angular momentum of a system. Conservation law of angular momentum. Thermology and thermodynamics Zero principle of thermodynamics and temperature. Thermometric scales. Thermal expansion of solids and liquids. The propagation of heat. Specific heat, latent heat. Joule's experiment and the mechanical equivalent to calorie. The work in a thermodynamic system. Internal energy. Clapeyron's diagrams. First principle of thermodynamics. Applications of the first principle to isothermal and isobar transformations. Cyclic transformations. The second principle of thermodynamics Carnot cycle and Carnot's theorem. Inequality of Clausius and Entropy. Entropy and probability. Electricity and magnetism Coulomb's force between point charges. The electric field. The electric dipole. Motion of charges in a uniform electric field. Electrical potential and voltage. Flux of the electric field and Gauss's theorem. Applications of Gauss theorem : electric field from charge distributions (uniformly filled sheet and sphere). The current and the charge-density vector First and second laws of Ohm. Drude model for conductivity. Lorentz force and motion of charges in a uniform and constant magnetic field. Force on a wire . Biot Savart law. Magnetic field circulation: the Ampere's theorem.

Basic knowledge of mathematical analysis and statistics. Knowledge of physics concepts at the high school level

Serway-Jewett Principi di Fisica ed. EdiSes

optional attendance at the lessons recommended

written test ( vote from 18 to 30) interview (vote from 18 to 30) the final assessment takes into account the previous two

Classroom lessons Classroom exercises