Physics I
Vectors, motion, Newton's laws, work-energy and momentum.
Textbook: Physics for Scientists and Engineers, 9th Edition (2014) by John W. Jewett, Jr. and Raymond A. SERWAY, BROOKS/COLE CENGACE learning.
- Week 1Physics and Measurement: Introduction, Standards, mass, time, length, density and atomic mass, dimensional analysis, conversion of units.
- Measurement, units and dimensional analysisSI units, prefixes, unit conversion, density, mole calculations, significant figures and dimensional analysis. The free questions on the midterm that need not even a formula come from here.
- Week 2Vectors: Vector and Scalar quantities, addition of vectors, substraction of vectors, Vector Multiplication, component of a vector, unit vectors-analytic method.
- Vectors: components, unit vectors, dot and cross productResolving a vector into components, finding magnitude and direction, addition and subtraction, dot product and cross product. 4-5 questions on the midterm, all mechanical.
- Week 3Motion in one Dimension: Introduction, speed, position vector, displacement vector, average velocity, Instantaneous velocity, Acceleration, One-Dimensional Motion with constant acceleration, Freely Falling Objects.
- Motion in one dimension and free fallPosition, displacement, average and instantaneous velocity, acceleration, the four equations of constant-acceleration motion, graph reading and free fall. About 4 questions on the midterm.
- Week 4Motion in two Dimension: The displacement, velocity and vectors, two-dimensional motion with constant acceleration
- Motion in two dimensions: position, velocity and acceleration vectorsVelocity and acceleration from the position vector by differentiation, average and instantaneous values, the vector equations of constant-acceleration 2D motion. The basis of projectile motion is on this page.
- Week 5Motion in two Dimension: the projectile motion, uniform circular motion, relative velocity and acceleration.
- Projectile motion, uniform circular motion and relative velocityHorizontal and oblique launches, range and peak height, centripetal and tangential acceleration, river and airplane type relative velocity questions. 4-5 questions on the midterm.
- Week 6The Laws of Motion Ch 5, Introduction, Newton’s First Law and Inertial Frames, Newton’s second Law, Force and Mass, Weight, Newton’s Third Law
- Newton's laws of motionForce, mass, weight and Newton's three laws; you learn to solve every force question with the same method using the free-body diagram.
- Week 7The Laws of Motion Ch 5, Forces of Friction, Some Application of Newton’s Law.
- Friction and applications of Newton's lawsStatic and kinetic friction, inclined plane, angled pull, table-pulley and Atwood machine. The Newton questions on the midterm that need the most calculation are here.
- Week 8Circular Motion: Newton’s Second Law Applied to Uniform Circular Motion, Non-Uniform circular motion.
- Dynamics of circular motionFinding which real force provides the centripetal force and writing ΣF = mv²/r: flat and banked curves, vertical circle, top point, conical pendulum and non-uniform circular motion.
- Week 9Circular Motion: Fictitious Force in a Rotating System, Motion in the Presence of Resistive Forces.
- Fictitious forces and resistive forcesFictitious forces that appear in accelerating and rotating systems, the resistive force models R = bv and R = ½DρAv², terminal speed and the time constant.
- Week 10Work and Energy : Work Done by a Constant Force, Work Done by a varying Force
- Work: constant and variable forceWork by a constant force, work with the scalar product, the area under the F-x graph and the work of a spring force. The first step of every question in the energy section is here.
- Week 11Work and Energy : Kinetic Energy, Work-energy Theorem, Power, Relativistic Kinetic Energy
- Kinetic energy, the work-energy theorem and powerNet work equals the change in kinetic energy. You learn to solve speed, braking distance and power questions without doing force-acceleration calculations.
- Week 12Potential Energy and Conservation of Energy: Potential Energy, Conservative and Non-Conservative Forces, Conservative Forces and Potential Energy
- Potential energy and conservative forcesGravitational and spring potential energy, the difference between conservative and nonconservative forces, and F = −dU/dx. The groundwork for conservation of energy questions.
- Week 13Potential Energy and Conservation of Energy: Conservation of Energy, Changes in Mechanical Energy, relationship Between Conservative Forces and Potential Energy, Mass-Energy Equivalence.
- Conservation of mechanical energyK + U is constant; with friction the loss is f·d. You solve free fall, pendulum, spring, ramp and loop questions with a single equation.
- Week 14Linear Momentum and Collisions: Linear Momentum and its Conservation, Impulse and Momentum, Collision in One and Two Dimension, Center of Mass, Motion of a System of Particles, Rocket Propulsion
- Momentum, impulse and collisionsLinear momentum, the impulse-momentum theorem, elastic and inelastic collisions in one and two dimensions. One of the sections that brings the most questions on the final exam.
- Center of mass, systems of particles and rocket propulsionThe position, velocity and acceleration of the center of mass; recoil, explosion and a person walking in a boat; a short summary of the rocket equation.