Course

by successfully completing labs, quizzes, problems, and exams

you perform a dimensional analysis in equations

you convert units from one system to another

you perform order-of-magnitude calculations

you specify significant figures

you correctly round off numbers

you specify units of length, mass and time in SI units

you examine the density and atomic weight of a substance

you calculate the atomic mass of a substance

by successfully completing labs, quizzes, problems, and exams

you identify various Greek letters

by successfully completing labs, quizzes, problems, and exams

you summarize vector and scalar quantities

you identify scalar and vector units of measurement

by successfully completing labs, quizzes, problems, and exams

you resolve a vector into its rectangular components

you determine the magnitude and direction of a vector from its rectangular components

you explain the rules of vector addition and graphical solutions for addition of two or more vectors

you explain the coordinates of a point in space using both Cartesian coordinates and polar coordinates

you explore the use of unit vectors describing any vector in terms of its components

you use vector algebra and vector calculus

by successfully completing labs, quizzes, problems, and exams

you summarize the displacement and average velocity of a particle in motion

you summarize instantaneous velocity

you summarize average acceleration and instantaneous acceleration

you construct position versus time and velocity versus time graphs for a particle in motion along a straight line

you determine both average and instantaneous values of velocity

you obtain the instantaneous velocity and instantaneous acceleration if the position of a particle is given as a function of time, taking the derivative of a function such as x = At2+Bt

by successfully completing labs, quizzes, problems, and exams

you derive and apply kinematics equations directly to a freely falling object-where the acceleration is given by a = -g (where g = 9.8 m/s2).

you derive and apply the equations of kinematics to any situation where the motion occurs under constant acceleration

by successfully completing labs, quizzes, problems, and exams

you explore the displacement, velocity and acceleration of a particle moving in the xy plane

you derive expressions for velocity and displacement as functions of time for a particle moving in a plane with constant acceleration

you recognize that two-dimensional motion in the xy plane, with constant acceleration, is equivalent to two independent motions along the x and y directions with constant acceleration components, ax and ay

you explain the assumptions used in describing projectile motion; two-dimensional motion in the presence of gravity

you develop expression for the velocity components and coordinates of a projectile at any time, t, in terms of its initial velocity components, vxo and vyo

you recognize that if initial speed and initial angle of a projectile are known at given point t=0, the velocity components and coordinates can be found at any later time, t, and calculate the horizontal range, R, and maximum height, h

you explore the nature of the acceleration of a particle moving in a circle with constant speed

you summarize the components of acceleration for a particle moving on a curved path, where both magnitude and direction of v are changing with time

you analyze the concept of observer's frame of reference

by successfully completing labs, quizzes, problems, and exams

you relate mass and inertia

you relate the SI units of force, mass and acceleration to the English units

by successfully completing labs, quizzes, problems, and exams

you distinguish between weight and mass

you calculate forces in a system experiencing static equilibrium

you explore the concept of force and the effect of an unbalanced force on the motion of a body

by successfully completing labs, quizzes, problems, and exams

you identify action-reaction forces in a multi-body system

you identify all forces on a given object in a multi-body system

you identify the four fundamental forces in nature

by successfully completing labs, quizzes, problems, and exams

you calculate static and kinetic friction

you explore the empirical nature of the laws of static and kinetic friction

you recognize that the maximum force of static and kinetic friction are both proportional to the normal force on a body

by successfully completing labs, quizzes, problems, and exams

you identify all external forces acting on the system

you draw correct free-body diagrams that apply to each body of the system

you analyze mechanical systems by applying Newton's second law in component form

you write a description of Newton's laws of motion, with physical examples of each

by successfully completing labs, quizzes, problems, and exams

you examine Newton's universal law of gravity

you explore the nature of the fundamental forces in nature characterizing the properties and relative strengths of these forces

you apply Newton's second law to uniform and non-uniform circular motion

you apply Newton's laws in inertial and non-inertial frames of reference

you explore the motion of an object through a liquid or a gas

by successfully completing labs, quizzes, problems, and exams

you explore examples of positive, negative and zero work

you calculate work done in various mechanical systems

you calculate the area under the Fx vs. X curve for the one-dimensional case

you calculate the scalar or dot product of any two vectors

by successfully completing labs, quizzes, problems, and exams

you calculate potential energy

you calculate kinetic energy

you calculate work done by a conservative force

you calculate work done by a nonconservative force

you calculate the PE, DPE, KE, and DKE in various mechanical systems

by successfully completing labs, quizzes, problems, and exams

you summarize the law of conservation of mechanical energy, noting that mechanical energy is conserved only when conservative forces act on a system

you analyze the energies of a mechanical system using conservation of energy

you relate the work done by the net force on an object to the change in kinetic energy (work-energy theorem)

you calculate nonconservative and conservative forces acting on a system using the work-energy theorem

by successfully completing labs, quizzes, problems, and exams

you distinguish between average power and instantaneous power

you calculate the power and horsepower in SI and English units of various systems

by successfully completing labs, quizzes, problems, and exams

you summarize the properties of conservative and non-conservative forces

you distinguish between potential, kinetic and the total energy of a system

you summarize the law of conservation of energy

you compute the potential energy function associated with a conservative force

you determine that the gravitational potential energy function can be positive, negative or zero

you determine that the spring potential energy function is either positive or zero

you examine potential energy and how it relates to the origin on a coordinate system

you account for non-conservative forces acting on a system using the work-energy theorem

by successfully completing labs, quizzes, problems, and exams

you distinguish between impulse and momentum

you calculate impulse given a constant force

you calculate change in momentum

you compare impulse to change in momentum

you find the impulse by calculating the area under a Force-Time graph

by successfully completing labs, quizzes, problems, and exams

you perform vector addition of momentum vectors

you analyze two-body elastic collisions

you calculate final velocity and DKE in a two-body inelastic collision

by successfully completing labs, quizzes, problems, and exams

you identify elastic and inelastic collisions

you identify a perfect inelastic collision

you derive the law of conservation of linear momentum for a two-particle system from Newton's second and third laws

by successfully completing labs, quizzes, problems, and exams

you calculate the total momentum in two-dimensions before and after collision

you analyze two-dimensional collisions

by successfully completing labs, quizzes, problems, and exams

you recognize that the total momentum of the center of mass remains constant in time for an isolated system

you relate the operational principle of a rocket to conservation of momentum

by successfully completing labs, quizzes, problems, and exams

you summarize the two conditions of equilibrium

you distinguish the center of gravity from the center of mass

you analyze problems of rigid bodies in static equilibrium

by successfully completing labs, quizzes, problems, and exams

you distinguish between angular velocity and angular acceleration of a body rotating about a fixed axis

you compare the equations for rotational and linear kinematics

you compare linear and angular speed and linear and angular acceleration

you calculate the moment of inertia of a system

you explain the rotational kinetic energy

you explore the concept of torque associated with a force

you determine that the net torque is proportional to the angular acceleration

you apply the work-energy theorem to a rotating rigid body

by successfully completing labs, quizzes, problems, and exams

you calculate the total angular momentum for a rigid body rotating about a fixed axis

you summarize the cross product of any two vectors stating the various properties of the cross product

you summarize the angular momentum of a particle moving with a velocity relative to a specified point, and the torque acting on the particle relative to the point

you apply the principle of conservation of angular momentum to a body rotating about a fixed axis

you derive the relationship between the net torque on a particle and the time rate of change of its angular momentum

you summarize, qualitatively, the motion of a spinning top and gyroscope

you summarize the center of mass of a rigid body, which undergoes both rotation about some axis and translation through space

by successfully completing labs, quizzes, problems, and exams

you explore how v varies in time and a varies in time

you summarize the phase relations between displacement, velocity and acceleration

you obtain a value for the phase constant, d, given the initial displacement and initial velocity

you explain the conditions executed by the mass-spring system and the simple pendulum

you apply energy principles to the simple harmonic oscillator

you summarize the relationship between simple harmonic motion and the motion of a point on a circle moving with uniform angular velocity.

you summarize, qualitatively, damped and forced oscillations

by successfully completing labs, quizzes, problems, and exams

you summarize Kepler's three laws of planetary motion

you explore the nature of Newton's universal law of gravity and the method of deriving Kepler's third law from this law for circular orbits

you relate Kepler's second law to the conservation of angular momentum and gravitational force

by successfully completing labs, quizzes, problems, and exams

you summarize the concepts of gravitational field and gravitational potential energy

you derive the expression for the potential energy for a pair of particles separated by a distance

you explore the total energy of a planet or earth satellite moving in a circular orbit about a large body located at the center of motion

you summarize escape velocity, deriving the expression for it using the principle of conservation of energy

you calculate the gravitational force between a particle and an extended object

by successfully completing labs, quizzes, problems, and exams

you explain the simplifying assumptions of an ideal fluid moving with streamline flow

you explain the general properties of the three states of matter

you summarize density of a substance and explain the concept of pressure at a point in a fluid, and the variation of pressure with depth

you calculate buoyant force

you explain Archimedes' principle

you derive the equation of continuity and Bernoulli's equation for an ideal fluid in motion, examining the physical significance of each

you relate Bernoulli's equation to airlift and available energy from winds

by successfully completing labs, quizzes, problems, and exams

you distinguish between thermal equilibrium and thermal contact between bodies

you summarize the zeroth law of thermodynamics

you recognize the physical properties of substances that change with temperature relating them to thermometers

you explain the operation of the constant-volume gas thermometer and how it is used to define the ideal-gas temperature scale

you convert between temperature scales: Celsius, to Kelvin to Fahrenheit

you summarize, qualitatively, the origin of thermal expansion of solids and liquids

you summarize the linear expansion coefficient and volume expansion coefficient for an isotropic solid

you summarize the priorities of an ideal gas and the equation of state for an ideal gas

by successfully completing labs, quizzes, problems, and exams

you distinguish between heat, internal energy, thermal energy, and temperature

you distinguish between Calorie, Kilocalorie, British Thermal Unit, heat capacity, specific heat and latent heat

you calculate heat loss or gain and final temperatures, by applying conservation of energy

you calculate rate of heat transfer or power involving convection, conduction or radiation

you analyze heat problems

you distinguish between heat conduction, convection and radiation giving examples

you summarize the basic law of heat conduction

you examine Joule's experiment for measuring the mechanical equivalent of heat

by successfully completing labs, quizzes, problems, and exams

you distinguish between the different types of phase changes which a substance may undergo and the changes in energy that accompany such processes

you summarize work when a system undergoes a change in state

you sketch processes on a PV diagram, and calculate work using these diagrams

by successfully completing labs, quizzes, problems, and exams

you summarize the first law of thermodynamics, explaining the meaning of the three forms of energy contained in the statement.

you apply the first law of thermodynamics to an isolated system, a cyclic process, and adiabatic process and an isothermal process

you calculate the work done when an ideal gas expands during an isothermal process

by successfully completing labs, quizzes, problems, and exams

you examine the assumptions made in developing the molecular model of an ideal gas

you relate the temperature of an ideal gas to the average molecular kinetic energy

you summarize the theorem of equipartition of energy

you relate the internal energy of an ideal gas to the absolute temperature

you derive the specific heat of an ideal gas at constant volume from the first law of thermodynamics

you summarize an adiabatic process

you derive the expression, which applies to a quasi-static, adiabatic process

you explore the possible degrees of freedom associate with a molecule and the contributions to the total energy and specific heats

you examine the total energy and heat capacity of a solid at high temperatures using the equipartition theorem

you summarize the Maxwell speed distribution function and the differences between rms, average and most probable speed

you summarize free-path concept.

you explore the nature of the Van der Waals equation of state

by successfully completing labs, quizzes, problems, and exams

you explore the basic principle of the operation of a heat engine

you explore the thermal efficiency of a heat engine

you distinguish between reversible and irreversible processes

you explain the principle of a refrigerator, defining the coefficient of performance of a refrigerator

you derive the efficiency of a Carnot engine

you explain the processes which take place in an ideal heat engine taken through a Carnot cycle

you examine the absolute temperature scale using the Carnot cycle as the basis for the definition

you summarize the gasoline engine

you summarize the four processes that occur in the Otto cycle

by successfully completing labs, quizzes, problems, and exams

you summarize entropy

you give a thermodynamic definition of energy

you calculate entropy changes for reversible processes

you calculate entropy changes for irreversible processes

by successfully completing labs, quizzes, problems, and exams

you summarize the second law of thermodynamics in both the Kelvin-Planck form and the Clausius form

you relate the importance of the first and second laws of thermodynamics to the various forms of energy conversion and thermal pollution