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exs1 - SELUTLeNS’fa m Exam 1 continued Initials Section...

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Unformatted text preview: SELUTLeNS’fa m) Exam 1, continued. Initials Section Number - 1a. [l0 pts] During orientation a new student is giuen instructions fora treasure hunt: A: Walk Southeast 282 steps. _:B Turn to angle +143.1° and walk 500 steps to find the treasure. On the graph below, sketch vectors that represent items A and B, assuming the student started fiom the origin. Label themN o‘lfabcial e axes (E N, W, S) and; scales (number of steps). 2/ S :38; 0:164le +382 S‘an‘f‘5>3 = NH. l—M, .441. L504 «3+an g 2 €00 w(|‘f3(‘)€ teoasfnmgnfi '2 46367.34”: v 300 213 5+4»: 5 1b. [10 pts] What is the vector C representing the displacement that the student must take if she‘were to start at the origin and go directly tothe treasure? Sketch it on the graph, and express it in both i, j, notation and as a magnitude and angle with respect to East, measured counter-clockwise. Place your latter two answers in the boxes below. ~ {(50 9 I “if = fi‘ (1% r-aoo W; + HEM-(J flaps : mast Stilts A 1533 = (69,00 3 + 50(3) athlete 1' g“ 2 Points earned on this page: [:I AM Exam 1, continued. 4 ‘ i . Initials . Section Number 2a. [10 pts] During Experiment 1 you moved a cart along a horizontal track first to follow templates of ' th) and vx(t) motion, then you moved the cart in a less scripted way, to follow motion prescriptions; ' ‘ On the coordinate system below, sketch an x(t) curve for a cart for which vx is negative and aK is negative. The cart Starts at the origin. 2b. [10 pts] Similarly, sketch an X(t) curve of a cart for which x is increasing and vX is decreasing The cart starts at the origin. ' l .t; .- a i - i _ . i 3 ‘ Points earned on this page: E . 1 , i i Exam 1, continued. . V Initials Section Number 3. .AM [20 pts] You measure Vx(t) of a cart on a track during Experiment 2, but for. some reason, the X(t) and 2,:(t) data are not recorded. Sketch X(t) and ax(t), given the Vx(t) data below. Its initial position, X(O), is 0 and. Be sure to label and scale the y—axes. Theendpoints of the straight lines in the vx(t) graph start and end at (O, —4), (5, —4), (15, 1), and (23, l). UM“); 03mg“ x(5\z -Lo W 3603‘) S ‘SQ W ‘ $61-51? ~5’v’OW‘ 1K7???) :3 4'27 OW“ ‘ 4 4 Pointsearned on this page: E: AM Exam 1, continued. . ~ ‘ I Initials I Section Number ‘ 4a. [10 pts] You roll a ball along a table of width W and height H at known initial speed Vox. At what horizontal distance from the edge of the table, D, does the ball hit the hon'zontal floor? Express your answers on this page symbolically, in terms of the magnitude of gravitational acceleration g, W, H, and V0,. Treat the ball as a point object. Friction and air resistance are negligible in this problem. , ‘ ,D? ‘lir ‘ l ,L ' Xi;— ' ( $743 uv‘idM ' 019% I “ii-5 t 24153": Vatt loan is a ’ our (”in «e, W ‘M‘fi , ““5”" ' ~H “’23ka D; Vex fL. . . H , . 2H Deva 62: t P - X f) D: Vex 2’54 4b. [10 pts] What 18 the velocity of the ball as it hits the floor? \afil (”Cl 2 1,— jt Vita') Vex ‘ 2H . - , Vb! (”liq :: “j ‘ *5“ VXCCL) ' VI“? A ’2H A v: vox L *‘3‘3‘3‘ 4c [10 pts] Give the distance s of the ball from its initial position (shown above) to the ppint where it hits Vthefloor ’ S” :ELW+b)Z ‘i‘ ”H13 1 » - - {QWWEQ ML] 5 5 Points earned on this page: I: 5"owrons (9”) Exam 1, continued. Initials _____ Section Number la. [10 pts] During orientation a new student isgiven instructions for a treasure hunt: A: Walk Southwest 141 steps. B: Turn to angle —36. 9° and walk 500 steps to find the treasure. 0n the graph below, sketch vectors that represent items A and B, assuming the student started from the origm. Label them 0(1ng eitthf: axes (E, N, W, S) and scales (number of steps). '. a i : 141%:st +Hl stZ/a’s :C—Cici 702? were 7025):;Ms ) 75': 500 aooCrBéfiDc +5305/MC’36'7‘) :(3?11{4A L "" 300 ZIJ )5 e/[FS 1 Wet) 3‘ 1b. [10 pts] What IS the vector C representing the displacement that the student must take if she were to start at the origin and go directly to the treasure? Sketch it on the graph, and express it in both 1, j, notation and as a magnitude and angle with respect to East, measured counter—clockwise. Place your latter two answers 111 the boxes below. 11 A *5 : 530(3 2 -,-3T‘f;7/J )Sejflfi ~ 500:: (3’ 5&9/35 4’ 5'51 ’3 p, ‘A . . a, I = 6'00 $721525 4-552!" 10. [10 pts] Express the direction of C as aunit vector. Place your answer in the box; ‘ 2 , Points earned on this page: I: EM Exam 1, continued. ' Initials Section Number ‘ 22L .[10 pts] Dining Experiment 1 you moved a cartalong a horizontal track first to follow templates of X(t) and vx(t) motion; then you moved the cart in a less scripted way, to follow motion prescriptions. On the coordinate system below, sketch an X(t) curve for a cart for which vx is positive and ax is positive. The cart starts at the origin. . 2b. [10 pts] Similarly, sketch an x(t) curve of a cart for which x is decreasing and VK is increasing. The cart starts at the origin. ‘ 3 . Points earned on this page: PM." Exam 1, continued. Initials VSectionNumber 3. [20 pts] You measure vx(t) of a cart on a Track during Experiment 2, but for some reason, the x(t) and 1 ax(t) data are not recorded. Sketch x(t) and ax(t), given the Vx(t) data below. Its initial position, 31(0), is 0 cm Be sure to label and scale the y-axes. The endpoints of the straight lines in the Vx(t) graph start I and end at (O, 0), (3,0), (12, —4), and (23,-4). ‘ U3 . . m We?” - . l 7- 0.44 Kczs) ‘; ~éa2—’ Cam Points earned on this page: PM Exam 1, continued. P ~ Initials ‘ Section Number 421. [10 pts] Your roommate puts a paper plate on the (horizontal) floor a distance D from a table of Width W and height H. She challenges you to roll a ball ofi the table and hit the center of the plate. What initial speed yo,i shonld you give to the ball? Express your answers on this page symbolically,1n ' terms of the magnitude of gravitational acceleration g, D, W, and H. Treat the hall and plate as point obj ects. Friction and air resistanCe are negligible in this problem. - 4:4 5% ’ L 5 . , :‘DQ% 1:1) 1 Vex: D {57% 4b [10 pts] What is the velocityt of the ball as it Vhits the plate? _ Vite)“: V'xC—é) 2 Vex.“ 1 lthtt)‘ “$23 iii) .VKCtD’ D (731,); 4c. [10 pts] lGive the distance s of the ball from its initial Position (shown above) to the plate. 3: EW’HD) +HJ?’ I a. )1”: "v” 5 i. Points earned on this page: E: ...
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