# PHYSICS

COD. 00405

TYPE OF COURSE: BASIC COMPULSORY SUBJECTS

## Learning outcomes of the course unit

The course has been designed to provide fundamental concepts indispensable for understanding the physical laws and the properties of matter, with special emphasis on those aspects useful in the comprehension of chemical and biological processes.

## Course contents summary

INTRODUCTION

Units of measure and physical magnitudes. Measurements and uncertainty. Absolute magnitudes and derived magnitudes. Principle of dimensional homogeneity. Units, standards and CGS, MKS, SI. Converting units. Mathematics in physics

VECTOR CALCULUS.

Scalars and vectors. Addition of vectors: graphical methods. Subtraction and multiplication of vectors. Vector components. Versors. Operations with vectors by components. Dot product and cross product.

MOTION.

Linear motion. Average and instantaneous velocity. Distance and displacement. Average and instantaneous acceleration. Motion at constant acceleration. Falling objects. Graphical analysis of linear motion. Kinematics on two dimensions. Projectile motion: trajectory equation.

FORCE AND MOTION.

Newton’s first law of motion. Force and Mass. Measurements of force and mass. Newton’s second law of motion. Specific types of force: the gravity, the weight, the normal force, the spring force, the tension in a string, the frictional force: static and dynamic friction. Newton’s third law of motion. Uniform circular motion: angular speed and centripetal acceleration. Period and frequency. Centripetal force and circular motion. Circular motion and gravitation. Newton’ law of universal gravitation. Kepler’s laws. Types of forces in nature.

ENERGY AND WORK.

Work and kinetic energy. Work done by a constant force and by a varying force. Theorem of the kinetic energy. Potential energy. Conservative and non conservative forces. Mechanical energy and its conservation. Dissipative forces. The law of energy conservation.

LINEAR MOMENTUM

Momentum and its relation to force. Conservation of momentum. The impulse. Elastic and inelastic collisions. The center of mass. The center of mass and the translation motion. The center of gravity.

ROTATIONAL MOTION

Angular quantities. The torque. The torque. Rotational dynamics. torque and rotational inertia. Moments of inertia. Angular moment and its conservation. Bodies in equilibrium. Statics: the conditions for equilibrium.

FLUIDS.

Mass of a volume unit. Specific gravity. Pressure in fluids. Pascal’s principle. Buoyancy and Archimedes’ principle. Fluid dynamics. The equation of continuity. Bernoulli’s principle. Application of Bernoulli principle. Viscosity. Flow in tube: Poiseuille’s law. Surface tension and capillarity. Diffusion and Fick’s law. Osmotic phenomena and osmotic pressure.

VIBRATION AND WAVES

Simple harmonic motion. Energy in the simple harmonic motion. The period and the sinusoidal nature of simple harmonic motion. The simple pendulum. Damped harmonic motion. Wave motion. Transverse and longitudinal wave. Energy transported by a wave. Reflection and interference of waves. Resonance, refraction and diffraction

TEMPERATURE AND HEAT.

Temperature and heat. Thermal equilibrium and the zero law of thermodynamics. Temperature measurement. Temperature scales. Linear and volumic thermal expansion. Anomalous behaviour of water. The equation of state of an ideal gas. Kinetic theory of gases. The molecular interpretation of temperature. Mean translational kinetic energy. Molar specific heats for an ideal gas: Cp and Cv . Heat as energy transfer. The specific heat. Calorimetry. The latent heat. The heat transfer: conduction, convection and radiation.

THE LAWS OF THERMODYNAMICS

The first law of thermodynamics. The volume pressure diagram. Adiabatic, isochoric, isothermal and closed cycle transformations. Work in thermodynamic processes. The second law of thermodynamics. Entropy and second law of thermodynamics. Order or disorder. Statistical interpretation of entropy. Heat engines and refrigerators. The Carnot cycle. The Kelvin-Plank and Clausius statements of the second law of thermodyn

Units of measure and physical magnitudes. Measurements and uncertainty. Absolute magnitudes and derived magnitudes. Principle of dimensional homogeneity. Units, standards and CGS, MKS, SI. Converting units. Mathematics in physics

VECTOR CALCULUS.

Scalars and vectors. Addition of vectors: graphical methods. Subtraction and multiplication of vectors. Vector components. Versors. Operations with vectors by components. Dot product and cross product.

MOTION.

Linear motion. Average and instantaneous velocity. Distance and displacement. Average and instantaneous acceleration. Motion at constant acceleration. Falling objects. Graphical analysis of linear motion. Kinematics on two dimensions. Projectile motion: trajectory equation.

FORCE AND MOTION.

Newton’s first law of motion. Force and Mass. Measurements of force and mass. Newton’s second law of motion. Specific types of force: the gravity, the weight, the normal force, the spring force, the tension in a string, the frictional force: static and dynamic friction. Newton’s third law of motion. Uniform circular motion: angular speed and centripetal acceleration. Period and frequency. Centripetal force and circular motion. Circular motion and gravitation. Newton’ law of universal gravitation. Kepler’s laws. Types of forces in nature.

ENERGY AND WORK.

Work and kinetic energy. Work done by a constant force and by a varying force. Theorem of the kinetic energy. Potential energy. Conservative and non conservative forces. Mechanical energy and its conservation. Dissipative forces. The law of energy conservation.

LINEAR MOMENTUM

Momentum and its relation to force. Conservation of momentum. The impulse. Elastic and inelastic collisions. The center of mass. The center of mass and the translation motion. The center of gravity.

ROTATIONAL MOTION

Angular quantities. The torque. The torque. Rotational dynamics. torque and rotational inertia. Moments of inertia. Angular moment and its conservation. Bodies in equilibrium. Statics: the conditions for equilibrium.

FLUIDS.

Mass of a volume unit. Specific gravity. Pressure in fluids. Pascal’s principle. Buoyancy and Archimedes’ principle. Fluid dynamics. The equation of continuity. Bernoulli’s principle. Application of Bernoulli principle. Viscosity. Flow in tube: Poiseuille’s law. Surface tension and capillarity. Diffusion and Fick’s law. Osmotic phenomena and osmotic pressure.

VIBRATION AND WAVES

Simple harmonic motion. Energy in the simple harmonic motion. The period and the sinusoidal nature of simple harmonic motion. The simple pendulum. Damped harmonic motion. Wave motion. Transverse and longitudinal wave. Energy transported by a wave. Reflection and interference of waves. Resonance, refraction and diffraction

TEMPERATURE AND HEAT.

Temperature and heat. Thermal equilibrium and the zero law of thermodynamics. Temperature measurement. Temperature scales. Linear and volumic thermal expansion. Anomalous behaviour of water. The equation of state of an ideal gas. Kinetic theory of gases. The molecular interpretation of temperature. Mean translational kinetic energy. Molar specific heats for an ideal gas: Cp and Cv . Heat as energy transfer. The specific heat. Calorimetry. The latent heat. The heat transfer: conduction, convection and radiation.

THE LAWS OF THERMODYNAMICS

The first law of thermodynamics. The volume pressure diagram. Adiabatic, isochoric, isothermal and closed cycle transformations. Work in thermodynamic processes. The second law of thermodynamics. Entropy and second law of thermodynamics. Order or disorder. Statistical interpretation of entropy. Heat engines and refrigerators. The Carnot cycle. The Kelvin-Plank and Clausius statements of the second law of thermodyn

## Recommended readings

Seway and Jewett "Principi di Fisica" (3 edizione) EdiSES.

Douglas C. Giancoli “Fisica” (2^ edizione) Casa Editrice Ambrosiana.

David Halliday, Robert Resnick, Jearl Walker “Fondamenti di Fisica” Casa Editrice Ambrosiana.

Douglas C. Giancoli “Fisica” (2^ edizione) Casa Editrice Ambrosiana.

David Halliday, Robert Resnick, Jearl Walker “Fondamenti di Fisica” Casa Editrice Ambrosiana.

## Teaching methods

The course consists of classroom lectures with frequent discussion of problems. Lectures are supplemented by projection of Power Point files that summarise basic concepts together with illustrations from the course textbook. The exam consists of written tests during the course, plus a final oral exam.

## NAME OF LECTURER

MAZZINI Alberto

ACADEMIC YEAR: 2007/2008

YEAR OF STUDY: 1

SEMESTER: Second semester

NUMBER OF CREDITS: 9

UNIT COORDINATOR: MAZZINI Alberto

CONTACT HOURS: 72

INDIVIDUAL WORK HOURS: 153