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Unformatted text preview: Physics 1 First Midterm Exam (PM) 1/27/2009 Name: 50 L “ T1m$ 1. (This problem is worth 40 points.) You are standing at the edge of the roof of a building of height H. A
baseball pitcher at ground level tosses a ball straight up with speed u. The ball rises to above your height and
then falls back down. You catch the ball as it is falling back down. Air resistance can be ignored, as can the
height of the pitcher. (a) Using the axes below, draw a yt graph and a vy—r graph of the motion of the ball. On both graphs label (i)
the time when the ball leaves the pitcher’s hand, (ii) the time when the ball is at its maximum height, and (iii) the time when you catch the ball.
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W (since biog? Wigs Your answer should involve n0 quantities other than H, u, and g, (It may or may not involve all of these.) For
full credit, show your work and draw a box around your answer. (b) Find the amount of time that elapses from when the ball leaves the pitcher’s hand to when you catch it.
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mug 5f. We madcﬂm lniuhwaahmiﬂebaﬂet: mm‘waplnm: (c) Find the speed of the ball just before you catch it. Your answer should involve no quantities ther than H, u, and g. (It may or may not involve all of these.) For full credit, Show your work and draw a box around
your answer. maimaate, Mam; Veioﬁ‘i'?‘ (Vzlvylz W NOTE; You. can alga ‘Fvww. VLF: Viv289(10): {42—26 (H— 0):OLZ_28’H _______.—. Physics 1 First Midterm Exam (PM) 1/27/2009 Name: g 0 Lu T! J S ‘1 A Distance to landing spot: 7 y
2. (This problem is worth 40 points.) A r) i;
boulder is rolling horizontally at the top of a Sp: ' ‘ _—. ...._..__....——a vertical cliff that is a distance H above the
surface of a lake, as shown in the figure. The
top of the vertical face of a dam is located a
horizontal distance L from the foot of the cliff,
with the top of the darn level with the surface of the water in the lake. A level plain is a LQAV/
distance D below the top of the darn. Air = resistance can be ignored. Taka 0 “‘83” 4;? [mi/100‘ F35 we mm“ the dam. Your answer should involve no quantities other than H, L, D, and g. (It may or may not involve all of 5 20 P (a) Find the minimum speed of the rockjust as it leaves the cliff so that it travels to the plain without striking t ese.) For full credit, show your work and draw a box around your answer. mfg/VJ’ clear ‘i'ﬂtﬁ 694M, +64; rock machr PaggW
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yr L: ed: “lino—"jigg— when the rock leaves the cliff to when it lands on the plain. Your answer should involve no quantities other than H, L, D, and g. (It may or may not involve all of these.) For full credit, show your work and draw a box
around your answer. m _ (‘5 We. 89:
We 1 WWW ‘édi2i@ gr Cf W
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lS—fb) so 4:2: 20gb) Amp i: (b) Suppose the rock has the minimum speed that you found in part (a). Find how much time relapses from
‘ QOflsi Physics 1 First Midterm Exam (PM) 1/27/2009 Name: 5 0 LU Tl ON 3 3. MULTIPLE CHOICE. (This problem is worth 20 points.) For each question, draw a circle around the one best answer. Each question is worth 4 points. There is no
penalty for guessing. 5t:— 2}— 21;, B : «25— 7} + 2]; . The scalar product AFB is closest (a) Two vectors are given as follows: A =
to
<0 48 "a ‘2 a A +A
Lk (ii)—20 A B ‘ AX X+ 73? £813
Ar Pg» 2 (s)(2)+(—2>(?)+(~2)(2)
~ 0020 r—lO—HLiLl =0
(b) At a certain instant an object is moving along a curved path and speeding up. At this instant, which
statement is true about the object’s velocity ‘7 and acceleration E ? V
(i) 9 X ti points in the direction of I7 ' ,
(ii) 17x6 pOints in the direction of a (Vt “1/ 0% deWL
(i11)The magnitude of Exit 18 zero A a / 1 Ci: .53 is
(iv) The magnitude of v x a equals lvllal s O
t. a baﬂmt‘wd”
qu is iv V344 (c) The figure shows a graph of velocity vr and M M lUllEiSMg/tiv M F: lam
X acceleration ar for an object moving along the x—axis. . O M I
At which time is the object moving in the negative ‘ 5" V a" ‘
direction with increasing speed? t x
(i) timeA ‘EV‘l’l “’E B E
W IS Vx < 0  t
111 time C (So wwi in O s I“. : 1
(iv) timeD —x ourad'f ) FW’ ‘ l
(v) timeE W at, < O E fw ‘
(vi) more than one of the above (5: 3:922}; A B (V D E
“f ((1) Two objects, A and B, are both in uniform circular motion around the same center. The acceleration of
particle A is 8 times that of particle 8. Particle A goes all the way around its Circle in 1/2 the time that particle B
takes to go all the way around its circle. The radius of the circular path followed by particle A is closest to 2 Z
(i) 16 times the radius of the circular path followed by particle B a renal '1 477 (ii) 8 times the radius of the circular path followed by particle B $6 9 : and T2. (iii) 4 times the radius of the circular path followed b article B Lm. 2
(iv) 2 the radius of the circular ath followed by particle B ,QA and 722' I
v 1/ times the radius of the circular path ‘ o owed by particle B T 2 ‘A : (8)(§) : 2
B QM_B E2 (e) A racquetball strikes a wail with a speed of 30 m/s and rebounds with a speed of 26 m/s. The collision takes
1/50 5. What is the average acceleration of the ball during collision? v4 .—. BOM/s 69' 7‘? (ii) 1500 mis2 X (iii) 200 m/s2 (iv)2om/s2 V1 :: ~2é w/s HOE
(v) zero X VZXWV4X) ‘ / _‘ “1/5 : “av/$2 At Cl/s‘o)5‘ : 2800 M/SZ ...
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This note was uploaded on 04/24/2011 for the course PHYS 1 taught by Professor Fridluund during the Winter '08 term at UCSB.
 Winter '08
 Fridluund
 Physics

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