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1、 AP Physics 1: Algebra-Based 2015 Free-Response Questions 2015 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board. Visit the College Board on the Web: www.collegeboard.org. AP Central is the official online
2、home for the AP Program: apcentral.collegeboard.org. AP PHYSICS 1 TABLE OF INFORMATION -2- CONSTANTS AND CONVERSION FACTORS Proton mass, 27 1.6710 kg p m ? ? Electron charge magnitude, 19 1.6010 Ce ? ? Neutron mass, 27 1.6710 kg n m ? ? Coulombs law constant, 92 1 49.010 N mCkpe? 0 2 Electron mass,
3、31 9.1110 kg e m ? ? Universal gravitational constant, 1132 6.6710 mkg sG ? ? Speed of light, 8 3.0010 m sc ? Acceleration due to gravity at Earths surface, 2 9.8 m sg ? UNIT SYMBOLS meter, m?C kilogram, kg second, s ampere, A kelvin, K hertz, Hz newton, N joule, J watt, W coulomb, C volt, V ohm, de
4、gree Celsius, PREFIXES FactorPrefixSymbol 12 10 teraT 9 10 gigaG 6 10 megaM 3 10 kilok 2 10? centic 3 10? millim 6 10? microm 9 10? nanon 12 10? picop VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES q 0303745536090 sinq0 1 23 5 2 24 5 3 21 cosq1 3 24 5 2 23 5 1 2 0 tanq0 3 3 3 41 4 3 3? The foll
5、owing conventions are used in this exam. I. The frame of reference of any problem is assumed to be inertial unless otherwise stated. II.Assume air resistance is negligible unless otherwise stated. III.In all situations, positive work is defined as work done on a system. IV.The direction of current i
6、s conventional current: the direction in which positive charge would drift. V. Assume all batteries and meters are ideal unless otherwise stated. W AP PHYSICS 1 EQUATIONS -3- MECHANICSELECTRICITY 1 2 2 E q q Fk r ? q I t D D ? R A r ? V I R D ? PI VD? si i RR? 11 pi i RR ? A = area F = force I = cur
7、rent = length P = power q = charge R = resistance r = separation t = time V = electric potential r = resistivity WAVES v f l ? f = frequency v = speed l = wavelength GEOMETRY AND TRIGONOMETRY 0 xxx a t? 2 00 1 2 x xxta t? x ? 22 0 2 xxx axx? 0 net FF a mm ? ? fn FFm? 2 c a r ? pmv? pF tDD? 21 2 Kmv?
8、 cosEWFdFdqD? E P t D D ? 2 00 1 2 ttqqwa? 0 twwa? ?cos 2xAftp? sinr FrFtq ? ? net II tt a ? ? LIw? LttDD? 21 2 KIw? s Fk x? 21 2 s Ukx? m V r ? a = acceleration A = amplitude d = distance E = energy f = frequency F = force I = rotational inertia K = kinetic energy k = spring constant L = angular mo
9、mentum = length m = mass P = power p = momentum r = radius or separation T = period t = time U = potential energy V = volume v = speed W = work done on a system x = position y = height a = angular acceleration m = coefficient of friction q = angle r = density t = torque w = angular speed g Umg yD?D
10、21 T f p w ? 2 s m T k p? 2 p T g p? 12 2 g m m FG r ? g F g m ? 12 G Gm m U r ? ? Rectangle Abh? Triangle 1 2 Ab? h Circle 2 Arp? 2Crp? Rectangular solid Vwh? Cylinder 2 Vrp? 2 22Srpp?r Sphere 34 3 Vrp? 2 4Srp? A = area C = circumference V = volume S = surface area b = base h = height = length w =
11、width r = radius Right triangle 222 cab? sin a c q ? cos b c q ? tan a b q ? c a b 90 q 2015 AP PHYSICS 1 FREE-RESPONSE QUESTIONS 2015 The College Board. Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT PAGE. -4- PHYSICS 1 Section II 5 Questions Time90 minutes Directions:
12、Questions 1, 4 and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space pro
13、vided after that part. 1. (7 points, suggested time 13 minutes) Two blocks are connected by a string of negligible mass that passes over massless pulleys that turn with negligible friction, as shown in the figure above. The mass 2 m of block 2 is greater than the mass 1 m of block 1. The blocks are
14、released from rest. (a) The dots below represent the two blocks. Draw free-body diagrams showing and labeling the forces (not components) exerted on each block. Draw the relative lengths of all vectors to reflect the relative magnitudes of all the forces. (b) Derive the magnitude of the acceleration
15、 of block 2. Express your answer in terms of 1 m, 2 m, and g. 2015 AP PHYSICS 1 FREE-RESPONSE QUESTIONS 2015 The College Board. Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT PAGE. -5- Block 3 of mass m3 is added to the system, as shown below. There is no friction betwee
16、n block 3 and the table. (c) Indicate whether the magnitude of the acceleration of block 2 is now larger, smaller, or the same as in the original two-block system. Explain how you arrived at your answer. 2015 AP PHYSICS 1 FREE-RESPONSE QUESTIONS 2015 The College Board. Visit the College Board on the Web: www.collegeboard.o
