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Unformatted text preview: PH 13 1 Exam 1 Fall 2005
Student Name 5 0;“ U77 0 M 5 Student Number Labeecitation Section Number (1 1,. . . ,36) Instructions: 1. Provide all of the information requested above. Write your name at the tOp of each
page. Clearly indicate your answers for all multiplechoice questions in the Space provided.
Present neat and orderly solutions to each problem, clearly indicating your method of
solution. You must document the equations uSed in each part and show how they are
manipulated to arrive at your solution. Correct answers without a documented
solution will receive zero credit. F ﬁnal answers should be circled or boxed. Be sure to include appropriate units with all answers. Neglect the effect of air resistance in all questions. Figures are not drawn to scale. Multiple Choice
Problem 1 Problem 2 Total Multiple Choice (2 pts. each) For Multiple Choice questions I) and 2): 1) 2) 3) a:3’i3}+3k
84—43—312
E=—2I+53+212
n €1=ﬁ+5+‘andé=—Ei—5+E,ﬁnd3é
29.; * A A
Aw; &:ZI~Z.3+Z[3\
B)'l6; a = T+l23+2k 50'_ A \
D) 32; 5“ = 2 4, + zga + axe—
E) 16. a e \( Answer C The angle between the vector i and the z—axis is: 3.1; : M») We = sigma A) 0°; 4 A B) 55”; A. k : C3)(o\+ 6330331! L3\(;\ = 3 C) 650;  “' VAL: D) 7350; t} citQ E) 85°; me Answer B :: 5‘3 0
At t = US, a ball is thrown vergcally upward from ground level with an initial speed
v0. The ball reaches a maximum height d and returns to ground level. Which graph
correctly describes the position of the ball as a function of time for the chosen
reference frame? C Answer 4) Regarding the previous question: Which graph correctly describes the veiocity of the
ball as a function of time for the chosen reference frame? 5) Consider the following position vs. time graph for two Speed boats undergoing motion
in one dimension. Which scenario could be represented by this graph? A) Boats A and B pass each other at constant speeds while traveling in opposite
directions; B) Boat A accelerates past boat B. They are traveling in the same direction; C) Boat B accelerates past boat A. They are traveling in opposite directions; D) Boats A and B pass each other at constant speeds while traveling in the same
~.....——.V_.._.__...' direction;
L» col1971 Answer D
5407%? 1 6) A ball is shot several times from ground level at a certain initial speed but at different
launch angles. The following ﬁgure shows the horizontal range R of the ball versus
its launch angle 80 (relative to the horizontal). Rank the three lettered points on the plot according to the i otal ﬂight time f the ball, greatest first. A) as be C; NOTE: R Is GREATECJT A7 (7’59.
B) a, c, b; M
C) b, c, a;
D) b, a, c
E) c, a, b
F) c, b, a;
G) all are equal. Answer F
7) In the revious ﬁgure, rank the three lettered points on the plot according to the ball’s speed at maximum height greatest first. A) a,b,c; so 6P££b' B) a,c,b; YEJMTgLT'XKZ'2V;C =VDX:VDM59
C) b, c, a; D) b,a,c E) c,a,b F) c,b, a; G) all are equal. Answer A 8) The position (in meters) of a particle is given by the following relationship for :2 f}: F(I)= (4.0%)? + (2.0:2 —3.0)}'+6.0!E What is th W) the article during the ﬁrst 2.0 s of motion?
A _ "a" :— AA = 112.0,)  robs)
l m A) (8.0: +4.0} E; 20$ 05
S B) (16§+8.0})ﬂ; .. NEWS") +¢=fl'—Q*C‘5K+QIL) S I 2
C) (8.0f+4.0}+6.0kA)%; I (<3? PL! D) (165 +8.0}+6.0k")§ Answer A 9) In the previous question, what is thef th f the particle during the ﬁrst I . ' A A
A) 3.9mr’s2' : L813)! B) 9.6mi’sz; : {/3225 *Vﬁos ____ (JETr3" —(DT+O*
C) lmesz; 25 «35 7.
D) 16m}; ‘ .. n
E) l9ma’s2. “5—”; aTJ(8)11—m)z Answer &
:: 10) For an object in uniform circular motion, which of the following is TRUE? A) The velocity is constant and the magnitude of the acceleration is constant;
B) The velocity is changing and the magnitude of the acceleration is constant;
C) The velocity is constant and the magnitude of the acceleration is changing;
D) The velocity is cchanging and the magnitude of the acceleration is changing. Answer B— Problem 1 Cars A and B travel towards each other at constant speeds of 20 mis and 40 mfs respectively, along a
straight and level road. At 3.0 s after the instant shown in the figure, they spot each other and immediately apply their brakes. The brakes decelerate each car at a rate of 2.5 mfsz. Use the
reference frame provided. 20 m/S 40 m/s 500 t(s) 0 3 6 9ll12 a) What is the distance between the two cars atthe instant they apply the brakes? (5 pts.) b) ls there a collision? You must provide a detailed solution that supports your answer.
If there is a collision, at what position does it occur? If there isn’t a collision, what is the distance between the cars when they ﬁnally stop? (10 pts.) 1:) Sketch the position vs. time graph for both cars on the plot above].
Be sure to label your graph and include relevant times and positions for each stage of motion. (5 pts.) BO What same minimum rate must the cars decelerate at so that the st  . the same place? (3 pts.) =...=wm ; ...= 330M 5‘ ‘5"255‘: 0K :25’&‘ It". ll“‘¢b..ﬂ. at.GoézcnoucnoocoknaaolIconic IIIOIIIIIII Concrete»: craps.5 WHEN 5:2; 2.5 F~60T+ 320 = o Problem 2 A pirate ship accelerates from rest at 0.50 ms2 (in a straight horizontal line) toward an island. At theSame
instant, a cannon ball is fired with an initial speed of 60.0 mfs at an angle of 600° to the horizontal toward the
ship. The ball will hit the ship’s mast somewhere in the upper, middle, or lower part ofthe ship! Note that each
ship section is 5.0 In high. Use appropriate vector notation and the reference frame provided. , / MM 3 v “Warm;
3’0“) 2 Y @1 396 m ( ) a) Find the ball’s distance from the origin and Speed 2.0 s after it is fired. (7 pts.) 1)) Find the time it takes the ball to hit the ship. Determine if the ball strikes the upper, middle, or lower part of the ship. You must provide a
detailed solution that supports your answer. (8 pts.) c) What is the average velocity of the ball from the instant it is ﬁred to when it strikes the ship?
(5 PtSJ N675: Fit—065’? ,___..—"' ...
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