Solutions to Homework 03

# Solutions to - MAW 7 «21mm PLUM CT Chapter 3 Problem3{1,0016 L 2 java A mountain—climbing expedition establishes two intermediate camps labeled

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Unformatted text preview: MAW 7 «21mm! PLUM, CT. Chapter 3, Problem3 {1,0016%} L 2 java) A mountain—climbing expedition establishes two intermediate camps, labeled A and B in the drawing, above the base camp. What is the magnitude Ar of the displacement between camp A and camp B? Base Camp Number ’ '8570929754442633 Units in A‘x :- L‘léoo ,. it 2.00;: €900M :— c1qu —- 3200 == 1100 m m M’“m""_—_’ m is: +431 -= \lcnoo>“+ovoo>‘= “5.79m A Chapter 3, Problem 6 In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0450 s, during which time it experiences an acceleration of 323 m/sz. The ball is launched at an angle of 53.0 ° above the ground. Determine the (a) horizontal and (b) vertical components of the launch velocity. (a) Number, 874738136151; Units m/s (b) Number [11508167138531 3 Units m/s rV:- at W = n/aosm s [email protected] = 2.797 M/f h 6‘ 0 90 t 1} 'VJ ; ’V "in/L53 = 476 SM“? Chapter 3, Problem 8 A skateboarder, starting from rest, rolls down a 13.4—m ramp. When she arrives at the bottom of the ramp her speed is 8.36 m/s. (a) Determine the magnitude of her acceleration, assumed to be constant. (b) If the ramp is inclined at 26.0 ° with respect to the ground, what is the component of her acceleration that is parallel to the ground? (a) Number 2607820895522 Units m/s"2 (b) Number “2.311389389471 0”) Units m/s"2 4) X=13.Qm 260( mt’XFOM/r ﬂy? :2 z Vx=g.'36M/_S 9) Qme-e 0.x C9326 : M/rq Mzij02'f 2% '9 =9 93‘: 21,07 «,5; #— {1' Chapter 3, Problem 12 On a spacecraft two engines are turned on for 865 s at a moment when the velocity of the craft has xand ycomponents of VOX = 6580 m/s and VQy = 7040 m/s. While the engines are firing, the craft undergoes a displacement that has components of X = 5.89 x 106 m and y = 6.32 x 106 m. Find the (a) xand (b) ycomponents of the craft's acceleration. (a) Number 053005446222? Units m/s"2 (b) Numberg ,LdQ6'158575219’4336 Units m/s"2 ’2. A) x sin,me ink—62 19) U‘M‘UJC +12. gt a a 23-2%;6 (9 t2 => 2x —2 ch 0.x: 1 1: (0L .1: w/S'Z _.....A‘ ,_ hi -s ‘__—.—s :9 ax == Art/\$2 ‘0 Chapter 3, Problem 18 Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans. They claim that he is able to jump and remain in the air for two full seconds from launch to landing. Evaluate this claim by calculating the maximum height that such a jump would attain. For comparison, Jordan's maximum jump height has been estimated at about one meter. Number 4.9 Unitsm "to Tet—427 u‘a N {La 95f Afar ,75‘ I +9j0=tiown=JS 240 - . I H x 1 C ‘Wfi Hint) («Lama/J ) 91% m +3: a » — W~ = ,_ v— — :— K— aa 2 C" 6- g “(5‘) 1; Chapter 3, Problem 26 a ‘ ,é A quarterback claims that he can throw the football a horizontal distance of 172 m. 5&3 UP Furthermore, he claims that he can do this by launching the ball at the relatively low 1?, K angle of 27.4 ° above the horizontal. To evaluate this claim, determine the speed with 2 S. which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored. For comparison a @ baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional. Number» 45417970562541 Units m/s “X , waft :CVQ Chapter 3, Problem 31 A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 64.0 ° above the horizontal. The rocket is fired toward an 45.9-m high wall, which is located 39.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? Number 27167094729723 Units m fVOX .5 (V0 C0) (9 I = max W00 5W0 3M 8 . => 45 y 3‘? m ‘ ’14, 0:93 i '1 Us 4' 2'an L 5 "v s. a L L 391 £ 3. e U <0 M >rany9, + ZQD -’V\ Pa AD; 73.05 —95‘~‘i : 527.1(9NK K.“— f...— ,x""\$‘ev=? (\dl” ' My» ' 47m M W ~ i W D‘ﬁm :3 Chapter 3, Problem 40 The lob in tennis is an effective tactic when your opponent is near the net. It consists of lofting the ball over his head, forcing him to move quickly away from the net (see the drawing). Suppose that you loft the ball with an initial speed of 15.0 m/s at an angle of 500" the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.49 5 later, hoping to reach the ball and hit it back at the moment that it is 2.10 m above its launch point. With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.) le———ID.D m———hl Number 6454699666401 Units m/s ‘ '2 +—a{ Z J * Wat’s?” -ng —l- JV0; —- [Ki Q0 (’3) " —/ "L éaat 5) Chapter 3, Problem 45 Two cannons are mounted as shown in the drawing and rigged to fire simultaneously. They are used in a circus act in which two clowns serve as human cannonballs. The clowns are ﬁred toward each other and collide at a height of 1.17 m above the muzzles of the cannons. Clown A is launched at a 750° angle, with a speed of 9.00 m/s. The horizontal separation between the clowns as they leave the cannons is 6.00 m. Find the (a) launch speed V013 and the (b) launch angle GB (>45.0°) for clown B. r- m : 9:00 Inc's mm (a) Number 8798671812072 I Units m/s (b) Number [81.1251977955867Units ° = (QM/5) 5M7)” 2,543 Mb 2 4.!7 M (2.643 MAJ {: + 5i <— ‘l-gM/52>t :9 {RA “‘3: 4.6275 = .— —— s: \l .= ——,——— ..\/ A \IOMﬁVOXg’t = ém > 0x3 t 0% V016. = LE " 014 “975' =_ L358 M/: . y ’L V063 Can Be from toquocje + par—12"” l a) V085 \/rV0x6 T rV931! = 57:22? ’75 — ’Vo & t t” 9/ :5 '60/1 4 ‘9 _' (“72\$ ” Chapter 3, Problem 46 A small can is hanging from the ceiling. A riﬂe is aimed directly at the can, as the figure illustrates. At the instant the gun is fired, the can is released. Ignore air resistance and show that the bullet will always strike the can, regardless of the initial speed of the bullet. Assume that the bullet strikes the can before the can reaches the ground. —- - ~ ‘- “taro ’ E“ X "’7‘ L S) a{ C + 064? Mm’Od/Le/l‘é 0]? "’a‘E 1. {L U = “493% ’ 2 3 39%”ch ‘3 o= “be "5' \ X=qjgxf 9A )CLO’Im) :1) 'L D X Max :5 , g; ~_D' mum. "15;- e949 ...
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## This note was uploaded on 03/26/2008 for the course PHYSICS 29 taught by Professor Akgun during the Spring '08 term at University of Iowa.

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Solutions to - MAW 7 «21mm PLUM CT Chapter 3 Problem3{1,0016 L 2 java A mountain—climbing expedition establishes two intermediate camps labeled

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