Exam2 Review - 1 Phys1110 Exam 2 Review: Everything from Exam I! algebra, trigonometry, unit conversions, 1D Motion: x v , a , graphs, slopes t t constant acceleration formulas: v vo a t , etc Vectors! vector addition, vector components v 2D Motion: v a , t y v1 v v 2 a Projectile Motion vy treat x- and y-motions independently ax = 0 vx = constant ay = – g vy = voy – g t , etc ax = 0 ay = –g vo x vx Circular Motion with constant speed v, v2 a a r a and Fnet are toward the center (centripetal) v a a Newton's Laws Fnet F1 F2 F3 .. r v F i i NI: Fnet 0 v constant NII: Fnet m a NIII: FAB FBA FAB A FBA B New material since Exam I Force and motion problems with one or more bodies: 1) Draw Free-body diagram 2) Choose Coordinate system 3) Fx m a x , Fy m a y 10/25/2017 University of Colorado at Boulder Exam2 Review - 2 Friction f sliding friction: f = K N static friction: 0 < f < fmax = S N Work and Energy work done by force F: WF F r , work can be (+), (), or zero Hooke's Law: Fspring = k x work-energy principle: Wnet KE Definition of PE associated with conservative force F: PEF WF PEgrav = m g h If no sliding friction, so no thermal energy generated : Emech = KE + PE = constant If sliding friction, KE + PE + Ethermal = constant Power P (k = spring constant) PEelastic = (1/2) k x2 W t Gravity Newton's Universal Law of gravity: m1 m 2 F G r2 m1 F F m2 r distance measured from centers Acceleration due to gravity Fnet m a GMm r2 mg g Planet mass M GM r2 R mass m, in free-fall r = distance to center of planet r Orbits, Kepler's laws GMm r Know how to use conservation of energy to derive escape speed. PEgrav U(r) 10/25/2017 University of Colorado at Boulder Exam2 Review - 3 To prepare for Exam 2: Review Concept Tests, MP problems, Tutorial HW, FlipIt questions. (Read question and try to remember reasoning that gets to the answer) When reviewing MP problems, know how to derive algebraic formula for answer. Prepare your formula sheet. Take the practice exam. It is no good to memorize answers. You have to understand and remember how you construct the answers. Problem solving strategies. There are more than a 1000 equations in this course, but there are only a handful of problemsolving strategies. The most important step in solving a problem is always the FIRST STEP, which is to decide: what is the correct strategy for attacking the problem? Fortunately, there are only about 4 strategies in this course: Problems involving forces and motion: Use Fnet = ma.Start by drawing a free-body diagram, then choose a coord. system, then write the equations. Some special cases of Fnet = ma problems are : Static equilibrium problems (Fnet = 0) and constant acceleration problems. Before/after situations: Apply a conservation law. o Conservation of energy (always true, but most useful when there is no friction) Vector math. Example: vector1 – vector2- delta vector problems. Apply the definition: For instance if you are asked to compute the work done by a force, you have to know the definition of work. 10/25/2017 University of Colorado at Boulder