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# GENERAL PHYSICS 1 PHYS 2010

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This 28 page Class Notes was uploaded by Mrs. Peter Toy on Friday October 30, 2015. The Class Notes belongs to PHYS 2010 at University of Colorado at Boulder taught by Staff in Fall. Since its upload, it has received 25 views. For similar materials see /class/232106/phys-2010-university-of-colorado-at-boulder in Physics 2 at University of Colorado at Boulder.

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Date Created: 10/30/15

Physics 2010 Topic Review List General Skills Algebra trigonometry unit conversion Ch2 Ch3 Conservation of momentum impulse Rotational motion 9 03 0c torque 1 x V a vs t graphs constant acceleration formulas Vector math 2D projectile motion Newton39s Laws freebody diagrams Fm ma problems Circular motion gravity Work conservation of energy KB and PE Ap Fnet At r FJ 1 I at KEtm KELmns KEm Static Equilibrium ZFx 0 2 FX 0 Z 1 0 Ch10 Fluids density p pressure p buoyant forceArchimedes39 Principle Ch 1 112 Waves vwave 7 f Superposition Principle standing waves and resonance 2 k Chll Simple Harmonic Motion 0 n Em 12 m v2 12 k x2 m Chl3l4 Temperature and Heat speci c heat c AQ m c AT or AQ m L To prepare for Final Exam The Final exam will be 45 questions multiplechoice 25 hours long Bring single formula sheet standard 85quotxl 1quot you can handwrite anything on both sides Bring calculator and 2 pencil The Final exam will be comprehensive covering all topics equally Review Midterms I II and 111 Review Concept Tests and Capa Solutions Take the old practice Final It is no good to memorize answers You have to understand and remember the strategies for getting the answers The questions on the exam will be similar to but never identical to questions from old exams concept tests capa problems Phys2010 Exam 1 Review Math skills 0 unit conversion algebra trigonometry sin cos tan Pythagorean Theorem Chapter 2 Motion in 1D 0 graphing X vs t V vs t avs t 0 V slopeofagraphofxvst o a slope ofgraph ofv vs t 0 average vs instantaneous value of velocity acceleration o quotacceleration is notvelocity quot o Constant acceleration a const in ID a v v0 at b x x0 vot l2at2 c v2 v02 2aXX0 v0v d 2 Chapter 3 sec 1 thru 4 Vector Math Addition of vectors 0 graphically tiptotail o analytically with components A A3 a a a a a E 3 d1rectlon of a d1rectlon of Av v2 7v1 To prepare for Exam 1 0 Review Concept Tests and CAPA problems Read question and try to remember reasoning that gets to the answer 0 Prepare your formula sheet 0 Take the practice exam 0 It is no good to memorize answers You have to understand and remember how you construct the answers RIII l An elevator is going up at a constant speed Near the top oor it starts to slow to a stop During the period that it is slowing down its acceleration is A downward B upward C in some other direction Answer Downwards Av RIII 2 Consider the vectors V1 and V2 shown What is the direction of AV V2 7 V1 V1 AV V2 V1 direction of Av D k C I 39 A 1B Answer B down RIII 3 Consider the vector A Which equation is correct A AxA cosG A B Ax 7A cosG I C Ax A sine 39 D Ax 7A sine Answer Ax 7A sine RIII 4 A projectile is red at an initial speed of v0 at an angle of 9 above the horizontal Which of the following expressions could possibly be the correct expression for the range of the projectile Hint check the units A X 2g V0 tan 9 B X 2g2V0 sin29 2 C X Lsin29 D X g sin29 g 2 V0 Answer C only this eXpression has the units of distance RIII S A plane in horizontal ight moving at constant velocity drops a heavy package while approaching the border of a kingdom Which crosses the border rst As usual assume that air resistance is negligible A the plane B the package C both cross at the same instant b constant I39I border Answer Both cross at the same instant RIII 6 A boy ofmass M 50 kg pushes on a baby carriage of mass M5 10 kg The force on the carriage from the boy has magnitude FoncWiage The force on the boy from the carriage handle has magnitude FonBoy How do the forces compare A FonCarriage 5 FonBoy B FonCarriage 02 FonBoy C FonCarriage FonBoy Answer By Newton39s third law the forces must be the same magnitude and opposite in the direction RIII 7 A heavyiduty truck pulling a light trailer is accelerating forward How does the force on the truck FonTmck from the trailer compare to the force on the trailer Form er from the truck aw A FunTnzk gt Fen39rrauar B Fun39rrauar gt Furlka C Fun39rrauar Furlka Answer By Newton s 3quot Law Fmransannrnol Fenrnnunnrrann R1118 1n the 1600 s Otto Van Guneke a physlclst ln Magdeburg fltted two hollow apartwhen an was reradmltted Suppose Von Guneke had neol both teams ofhorses to would be A twlce B exactly the same as C halfwhatlt was before Answer Twlee Thls ls not aNeWIon s 3quot law situation The foree from 16 horses ls uedto alree trunk e Abox ofmass m ls slmng atrest on ahonzontal table The magmtudes ofthe normal force N and me Welght mg are equal mg N S Thf r F Answer False Newton39s III law force pairs always involve a pair of forces acting on different objects Here the forces N and mg both act on the same object the box RIII lO A crate of mass m rests on a rough surface with coefficient of kinetic friction K A horizontal force F is applied which maintains a constant acceleration a What is the size of that force AFmapng BFma7meg C ma D ma mg MK E None ofthese Answer F ma K mg since Fm F 7 Hng ma RIII l l A crate of mass m is accelerated to the left with a string at an angle q above the horizontal The coefficient of kinetic friction is K The coordinate system has been chosen as shown What is the correct yquation A FN mg0 B FcosG HKNma C Fsin9N mg0 D Fcos9N mg0 E None of these Answer Fsin9N mg 0 Xiequation would be F0089 HKN ma RIII l2 A stationary crate is pulled to the left with a horizontal cord The tension in the cord is T and the crate is not moving The coefficient of state friction is us Which of the following statements must be true T MS I The magnitude of the force of friction is T 11 The magnitude of the force of friction is usN IIIThe magnitude of the force of friction is usmg A All 3 statements must be true B All 3 statements are not necessarily true C Only 1 of the 3 statements must be true D Only 2 of the 3 statements must be true Answer Only 1 statement Ffric T must be true Since the crate is stationary the force to the left T must be exactly cancelled by the force to the right Ffric N fFri 0 mg Neither statements 11 or 111 must be true usN usmg is the maximum possible force of static friction The force of friction can be less than this maximum RIII l3 Consider the two equations in two unknowns x and y 3x 7 y 0 x y 2 What is x A 2 B 3 C 14 D 4 E None ofthese Answer None ofthese x l2 RIII 14 A rider in a quotbarrel of funquot nds herself stuck with her back to the wall The freebody diagram is shown Q Is the following statement de nitely true for this situation usNmg A Yes it is certainly true B No it might not be true Answer No it might not be true usN is the MAXIMUM possible force of static friction The actual force may be less than this maX value It is definitely true that FmC mg in this case since the person is not sliding along the wall But it is not necessarily true that Ffric SN RIII 15 The freebody diagram for a car rounding a banked curve is shown The car is going so fast that it is about to slip The coordinate system has been chosen ll X Nel a 1 Q l5 6 A T SN 1mg What is the correct yequation A N sine usN cosG 7 mg 0 B N 7 usN sine 7 mg cosG 0 CN7mg cosG 0 DNcos97usN sin97mg0 E None of these Answer N cosG 7 usN sine 7 mg 0 RIII 16 What is the magnitude of the force of gravity exerted on the Earth by an apple that is falling from a tree to the ground A mg B gt mg C lt mg Answer mg By Newton39s third law the force of gravity on the Earth by the apple is the same size as the force on the apple by the Earth and this is mg RIII 17 For a small mass m on the surface of a planet of mass M and radius R is it mg GMm always true that 2 R A Yes this is always true regardless of whether the mass m is in freefall or not B No this is not always true Answer This is always true RIII 18 Astronaut Dave Bowman accidentally drops his coffee cup while eating breakfast inside the rotating centrifuge of the spacecraft Discovery What happens to the colTee cup A the cup hangs in space before Bowman39s face B the cup accelerates toward the oor and smashes into little bits C the cup travels in a straight line at constant speed until hitting something and smashing into little bits Answer C After Bowman let39s go there are no forces on the cup so it moves in a straight line at constant velocity RIII 19 Recall that Kepler s 2quotd law says that planets move faster when closer to the Sun KH A line drawn from the sun to the planet sweeps out equal areas in equal times A small planet of mass m is in elliptical orbit about a large star of mass M Which of the following statements is always true as the planet orbits the star 1 The direction of the acceleration of the planet is toward the star 2 The magnitude of the acceleration of the planet is a VZr where V is the speed of the planet and r is the distance between the planet and the star 3 The magnitude of the force between the planet and the star is constant 4 The speed of the planet is constant A All are true always B None are true always C Only 1 and 2 are true always D Only 1 is true always E Some other combination Answer Only 1 is true always The direction of the acceleration must be equal to the direction of the net force which is the force of graVity toward the star 23 and 4 are only true if the orbit is perfectly circular so that the speed V is constant RIIIl The freebody diagram for a car rounding a banked curve is shown The car is going so fast that it is about to slip The coordinate system has been chosen What is the correct Yequation A N sinG MSN cosG mg 0 B N MSN sin mg cos 0 CN mg cosG 0 DchosG nstinG mg0 E None of these RIII2 A projectile is red straight up and then it comes back down to its original height There is air resistance as the projectile is moving During the entire ight of the projectile the total work done by the force of gravity is A zero B positive C negative During the ight of the projectile the total work done by the force of air resistance is A zero B positive C negative During the ight of the projectile the total work done by the net force is A zero B positive C negative RIII3 A pendulum is launched in two different ways During both launches the bob is given an initial speed of 30 ms and the same initial angle from the vertical On launch l the speed is upwards on launch 2 the speed is downwards Which launch will cause the pendulum to swing the largest angle from the equilibrium position on the left side A Launch 1 B Launch 2 C Both launches give the same maXimum displacement RIII4 A block of mass m with initial speed v slides up a frictionless ramp of height h inclined at an angle 9 as shown Assume n0 friction True A or False B Whether the block makes it to the top of the ramp depends on the mass of block and on the angle 9 RIIIS A block with an initial speed VO slides up a rough incline A student wishes to know the speed V when the block is at a height h The friction between the block and the incline has coefficient of kinetic friction MK v I 1 1 TrueA or False B Emvo Emvz mgh RIII6 The tip of the nose of a pogo stick rider moves along the path shown The maximum compression of the pogo stick spring is shown I At what pointA B C or D is the elastic potential of the spring energy a maximum At what point is the gravitational potential energy a maximum RIII7 A mass m is placed into a springloaded gun with the spring compressed by an amount X The gun is fired so the mass is pushed forward and slides down a frictionless surface of height h and then up to a final 41gt height h2 as shown What is the final kinetic energy of the mass m when it is at its final height hz NOTE This question is asking for the KB not the speed V A kx2 mgh1 h2 B kx2 2mgh2 h1 k k C Ex2 2gh2 h1 D Exz 2gh2 h1 E None of these is the correct eXpression for the KB RIII8 A pendulum consists of a mass m at the end of a stIing of length L When the stIing is vertical the mass has a speed v0 as shown What is the maximum height h above the lowest point to which the mass swings 2g V mvi A Vg B x zg C 2g V2 0 D E E None of these RIII9 Ball 1 of mass m moving right with speed v bounces off ball 2 with mass M M m M m HV 0 e 0 V M gt m and then moves left with speed 2v What is the magnitude of the impulse I Ap of ball 1 A mv B 2mv C 3mv D l2mv E None of these By how much did the momentum of ball 2 decrease A mv B 2mv C 3mv D l2mv E zero RIII10 A bullet of mass m traveling horizontally with initial speed V strikes a wooden block of mass M resting on a frictionless table The bullet buries itself in the block and the blockbullet have a nal speed Vf Mm m V I V M l I PW Before After Fill in the blank The total kinetic energy of the bulletblock after the collision is the total KE before the collision A greater than B less than C equal to TrueA or FalseB In the problem above the collision was elastic RIII11 Two balls labeled 1 and 2 collide Their initial momenta and the final momentum of ball 1 is shown in the figure What is the Xcomponent of the final momentum of ball 2 A 2 B l C 0 D 1 E 2 What is the ycomponent of the final momentum of ball 2 A 4 B 3 C l D 0 E 4 Answers pl x 2 My 2 0 RIII12 What is the torque about the origin A r F sinG B r F cosG Try again What is the torque about the origin A r F sinG B r F cosG RIII13 A very light rod of length L has a mass M at the top end The bottom end is placed on the ground and the rod is released from rest at an angle q It falls over rotating about the bottom end Immediately after the rod is released the upper end Hint Tnet 1 oc M L 9 I has angular velocity 0 A zero B not zero has angular acceleration oc A zero B not zero has tangential acceleration at A zero B not zero has radial acceleration ar Azero B not zero As the rod falls over as 9 decreases to zero the angular acceleration oc A increases B decreases C remains constant Hint think 1 Answers Initially t0 0 0 0c i 0 at 0c r i 0 ar v2r 0 since vco r0 initially The instant the rod is released there is a net torque on the rod due to gravity so there is an OLZTI but 0 is initially zero It takes time for the 0 to build up Answer 0c is increasing since the torque E rFL L2mg sinG is increasing RIII14 Consider a light rotating rod with 4 point masses attached to it at 0 O O O distances 2 and 4 as shown The aXis of rotation is thru the center of the rod perpendicular to its length The 4 masses are moved to new positions so that all masses are now 3 3 units from the aXis Did the l moment of inertia l A increase B decrease C remain the same t 1 Answer Decreases 2242 20 lt 232 18 RI l A car39s hood has a surface area of 2 m2 What is the surface area in cmz A 200 cm2 D 20000 cm2 2x104 cm2 E None ofthese B 2000 cm2 C 2gtlt105 cm2 2 2 Answer 20000 cm2 2m2 xEloocm 2m2 1m 1m2 RI 2 Consider this equation a X2 b X 0 Find a solution for X A X b a E None ofthese CXab BXab Answer actually there are two solutions X 0 and X ba D X ab RI 3 An object s acceleration vs time is a I t Which graph best represents the obj ect s velocity vs time V A V B t t V C V D t t E None of these Answer B C and D are not quite correct because the relative magnitudes of the accelerations the slopes ofv vst are wrong RI 4 A student is asked the following question on an exam A car is moving at 90mph and suddenly brakes with a constant acceleration a 72g to a full stop How many second does the car take to stop Which equation can be used to answer the question A V 2 v0 at 1 2 B X X0 v0t73t 2 2 C V v0 2aX X0 Answer A RI S At t 0 a projectile is red straight upward from a cannon It goes up and then comes down Assume that there is no air resistance Upward is chosen as the positive y direction Which of the following graphs most accurately shows velocity vs time for the projectile during its ight A VB VC E None ofthese Answer B This is a graph ofv v0 gt RI 6 Consider the vector A Which equation is correct Y X A AX Acos G e B AX A cos 9 C AX A sin 9 A A D AX A sin 9 Answer D Get the sign from the diagram RI 7 Suppose you know the velocity vector of a particle at a particular instant of time and it is parallel to the ground What do you know about the acceleration a of the particle v A The velocity vector and the acceleration vector are always either in the same direction or in opposite directions B The acceleration vector is straight down C You know nothing at all about the acceleration vector D The acceleration must be zero Answer You know nothing at all about the acceleration vector To know the acceleration you need to know the velocity at two different times Acceleration is the time rate of change of the velocity RI 8 Consider the vectors V1 and V2 shown Which is the direction ofthe vector is AV V2 V1 V1 AV V2 V1 x B Answer Down The correct vector addition diagram is V1 lt1AV V2 RI 9 An elevator is going up at a constant speed Near the top oor it starts to slow to a stop During the period that it is slowing down its acceleration is A downward B upward C in some other direction Answer downward The appropriate velocity vector diagram looks like RI 10 The quotmulti ash photographquot below shows a ball rolling along a surface The camera ashed once a second and the time is shown above each image 012 3 4 5 6 7 8 9101112 000 O O O O O O 0000 llllllllll Which graph below best represents the ball39s velocity as a function of time B A I 1 C D t Answer D RIll What is the direction of vector C A B 7 Ax1 Ay1 Bx2 By2 M A B D C E parallel to X or yaxes Answer The vector C A B points to the upper right B O R1 12 A particle is moving with constant acceleration Its velocity vector at two different times is shown below What is the direction of the acceleration Hlt A4 a gtC V 2 1 D Answer upward Q AV V1 Australia g A VI RIl3 Consider the vectors A and B as shown A has magnitude 2 and B has magnitude 1 What is the direction of the vector A 7 3 B A gt 4 B A Right gt C Left B No direction because the vector is zero Answer Right gt Vector B is to the left Vector B is to the right RI 14 The vector A has length 5 The vector B has magnitude 4 You have no other information about the two vectors Consider the following statements about the vector AB A The magnitude of the vector AB must be between 5 and 9 B The magnitude of the vector AB must be between 0 and 4 C The magnitude of the vector AB must be between 1 and 9 DThe magnitude of the vector AB must be between 1 and 9 Answer The vector sum can have any magnitude between 1 and 9 So the answer is C

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