Key for final_H - PHY 2048 Section H Spring 2011 Instructor...

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Unformatted text preview: PHY 2048, Section H, Spring 2011 Instructor: Dr. Saiful I. Khondaker Final, Friday, April 29 Time: 7 — 9.50 am Total Points: 100 NID: YOu must show all your steps for full credit I The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration of -5. 25 m/s2 for 4.15 3, making straight skid marks 61.1 m long, all the way to the tree With what speed does the car then strike the tree? Sew/t 5‘” a .1, ~J~ W‘::f"‘"'“‘”T“ cat :1 ..1. s 2,5 ”1/; ”7% 5 x; .w Val“ 11 a: 0%: I ‘ v 77) v.‘ c: Vf‘ 744-1., 7" 5.11.], CPR ' 1 “243 1 x; Ewes—it -- l m (A l “K! ‘53 LQQ>@1._ Vfl.‘ :1 get C5 25361 1‘5) W ............................. — 415 f $513 fl 2% ESL “int/Q “at, \{fl‘s '3; N;L 4.- Cir-LR Wflflmww ‘- 2. A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.60 m/s at an angle of 170° below the horizontal. It strikes the ground 6.00 3 later. (a) How far horizontal-1y from the base of the building does the ball strike the ground? (b) Find the height from which the ball was thrown. 4163+“ (c) How long does it take the ball to reach a point 10.0 m below the level of launching? ' ’ i "3 W ”‘1‘" v: {am/i, e W a: as. k X“ ‘ MK; "3'" % " cz:> L435 \1 \ . . Li__#_.__...i.t...4-.t,—.H_s..._.:_‘..——- Vflfi :',. ____ “3 ‘ g 21“ 1% 3 Two objects aIe connected by a light string that passes over a frictionless pulley, as shown 111 Figure The incline lS frictionless, ml— 2. 00 kg, 1112 =6. 90 kg, and fi— 56. 0°. (a) Draw free— —body diagrams of both objects. (b) the accelerations of the objects, (0) the tension in the string, and (d) the s eed of each object 2. 25 s after being released from rest. p ”% i 'er L511: L mzjfj %\HWC LG ‘9)(‘7 5”) SMSEV" (2)9 g) (5k _—.. W,“ W-...__..-_.__.._____, in HM; , (we—+2.. E O\ '3 4: '\ inn/g" :/ C? [”1” -mi_ 09-1cG-9 (.2.ch 93“?) 4. Consider a conical pendulum with a bob of mass m = 74.0 kg on a string of length L = 10.0 m that makes an angle of 6 = 4.00° with the vertical. (Consider +i to be towards the center of the circular path and +1 to be upward.) (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. ' (b) Determine the radial acceleration of the bob. 5 A 6.22-kg object passes through the origin at time I = 0 such that its x component of velocity is 5 30 m/s and its y component of velocity is —3. 3 m/s (a) What IS the kinetic energy of the object at this time? (b) At a later time t— " 2. 00 s, the particle IS located atx= 8 50 In and y= 5.00 m. What constant force acted on the object during this time interval? (0) What is the speed of the particle at t= 2.00 s? ‘37:; +4 rt 3) m 1 Q: “' ‘2?— k? .— 0 ' :I\ 35193 “wt/7; V’f- Vet -—~ 2:95 :3 ”LL: “WC '3’ "“5'% ""11: § k7; 2‘» 4"” ”m we”? a, l;- éaytm.) Lg, 3221. 3.2.3") 6. A 190 g block is pressed against a spring of force constant 1.50 kN/m until the block compresses the Spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Use energy considerations, determine how far up the incline the block moves before it stops under the following conditions. (a) if there is no friction between block and ramp .(b) if the coefficient of kinetic friction is 0.400 : cease“ 45? ¢S\%\HC—a‘3’ “I? 0~9246§\ «9): 05‘9"? Leo“ :3 @9. i ‘7) Lt?) hex --‘t“a‘%}'2“‘l— r 7. A proton collides elastically with another proton that is initially at rest. The incoming proton has an initial speed of 4.5)(10S m/s and makes a glancing collision with the second proton. After the collision, one proton moves off at an angle of 450 to the original direction of motion and the second deflects at an angle of (p to the same axis. Find the final speed of the two protons and the angle (1). into} Aéfie-t' _ m Cm was a”? as «,4: 4‘56 “f O :7 7“" w 20. , yams, a»; Cl) 6:“ U» 9%“ (pal-LC SIC ch 6.37 e": 7"?) 7 (“ant-i5 k-VV’Q‘X '2...“ m‘n 51:79—55 ywwe “l? e; 45’ or v vat: , Als'filé' _ :5.— : ,_.__.——‘— - W... Lawns <2... éw> ‘95 8. A grinding wheel is in the form of a uniform solid disk of radius 8.00 cm and mass 2.50 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.800 N-m that the motor exerts on the wheel. (a) How long does the Wheel take to reach its final operating speed of l 200 rev/min? (b) Through how many revelutions does. it turn while accelerating? 35+ S £2,235cm : 5.613%. m a: 2—‘g—LM 9;; twin “Var/w. 1: 30'3“?“ I U mv 11m fifteen—g9 W‘ _. <9. --: ar’c .15.. “50% fl 4/ 3.. fl d : ”FE: Cir-E; .._.__..._.__ 9‘ I ‘ iLZ‘SCP-Oésbm 9. A horizontal platform in the shape of a circular disk rotates freely in a horizontal plane about a frictionless vertical axle The platform has a mass M = 100 kg and a radius R=3. 0 m. A student whose mass is m= —60 kg walks slowly from the rim of the disk toward its center. If the angular speed of the system is 2.0 rad/s when the student IS at the rim what IS the angular speed when he reaches a point r=0. 50 m from the center? 2:. Erie: We; D “31s— L2: L. _ 1 ’o- 9 “>10":— ‘3 (W + W 3 t‘ L we sea/i h. «MM... :3 w ; i" 4gs9+l? 10. A hungry bear weighing 735 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see figure below). The beam is uniform, weighs 200 N, and is 7.00 m long, and it is supported by a wire at an angle of 6 = 60.0°. The basket weighs 80.0 N. 15 (a) Draw a free-body diagram for the beam. b) When the bear is at x = 1.20 m, find the tension in the wire supporting the beam and the components of the force exerted by the wall on the left end of the beam. (c) If the wire can withstand a maximum tension of 875 N, what is the maximum distance the bear can walk before the wire breaks? [if a? .i. .2?” . Gotten-es ”3% 9 3:5 $0 "LC? ”€63 x1 +15% (3‘9 K1— ”200x33- ' M%§xl=L D ¢$ihbeab) '::.— “2.114 1... ‘ ' :9: (3 “ RAW" 'Té’ab ESQ — - K- 7;. :.- . “—MWMW.__... viii """" flit” cars is“? :— ”’1 N l L M ‘2. ...
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