{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

105-19991-MT2 (1)

# 105-19991-MT2 (1) - MIDDLE EAST TECHNICAL UNIVERSlTY TIME...

This preview shows pages 1–6. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MIDDLE EAST TECHNICAL UNIVERSlTY TIME: 1mm EM!!! (D DEPARTMENT OF PHYSICS PHYS 1G5 SECOND MIDTEHM EXHM mg MINUTES L“ eta-amine Fill in this I: with. u-net with neil LAST NAME FIRST NAME mm! SIGNATURE SECT. GRADES: m There are 4 classical type problems. 'feu must selve all ef them. Caieuiater net permitted. De net ash: meters any questien about the problems; read. understand and Solve. The steps the solution ef eseh preblem must he shewn eleerlz.r in the space provided. Hume-ﬁes] answers must be given with mneet SI units and SI unit symbols must he used enly. 5 g=|eme= 3 1 I h... PEBBLE-M {I} [15 points} A 13.5-ng hleek eﬂaehed to a spring of relaxed length 3.6 rn and force constant k = It-[l Mint. is l: = serum at rest at point A on a frictionless herizentnl Surface. A constant hem'zenta] feree F = 212) N is "re—n71 then applied to the bleek and I'IID‘III'ES the bleelt A B to the right aleng the surface. H..— m; m __.+..;_ [1.25 [11...] {a} What is the speed of the hleelt when it reaches paint 3 whieh is (125 In to the right {if point A? use; F=2I2|IN n @ LVFJE'}; ﬁjfrr‘ﬁ): :Eﬁfif’ﬁ l {£e){es.£5) {if {ea-{ea} : Zita?“ if“: FE: ﬂit/J" F'th It}: Second Midterm Page J' Dec. I3; 1995' Eh]: When the block reaches point B. the force F is suddenly removed. In the subsequent motiont how close will the block get to the well? 4 5' PRDELEM {2} {15 points] A small block of mass m = 0.1 kg is released from rest at point A at a height h : ] m abet-e the ground. It slides down the track as shown in the ﬁgure. it tesehes point B with speed 1:3 = 4 mt's. From point B it slides on a level surface a distance d = I m to point C which is at the bottom of a vertical circular loop of radius R = {1.13 m. This circular section of the track {C 4 D —.l E) is frictionless but the remaining section {A -—i 3 —Ir C]: is rough. {a} How much work is done by friction as the bloelt slides down from A to It? 62 Wt. W1._ 3 5 kiwi/tits) -g‘e. 2 it re} rg} : +5-é‘3 Phys 1'05 Second Midterm Page 3 Dee. 1'3. {999 (bl What is the minimum speed with whieh the black must reach point C. if it is not to fall off at the top {point E} of the circular Imp? I .r' , EMILE : EMF. 1.3:“:ng 1L 522:9 Eff E I; %:Mj it fir-NV: = ire R .35 “c ,2 (5) = ﬁéﬁmﬁm; = 3m ; {e} The coefﬁcient ef kinetic fﬁetiett between the hleelt and level surface {between E and C} is“. What sherulel he the vaEue of M SCI that the three on rhe Heck by the track at point D is equal tel its weight? 1;- 55 a we fed/3m) eeelmﬁ P :5“? = W319 A ~1ﬂ\$ ,4? ff- :9 m- erger}? J 3.3,: ;- “E; iii-“fie '§”‘%L=~x‘e’iy J PM: we seem Midterm Page 3 Dee. 1-3, I999 PROBLEM (s) {25 points} While mering heriztmtally at speed v 2 5t] mJ's at an altitude h = 125 "L a shun “Panda; and breathes inte- twe fragments of equal mass which fall freely. ﬁne of the fragments has :ere speed tight after the explﬂsion and lands an the ground directly:r below the point 101' explosion. Ignore air resistance. {h} [n unit vectttr t:+:ntatit:+111 ﬁnd the velocity ef the eenter of mass of the [we-fragment system 3 s after the explusiun. Em 5: I?” [If-‘5') + Rem f wﬁfre aim: vjﬁ'} —r A in wﬁiff=§i2= {ﬁt *jﬂﬂ—f‘ ,rn m/J’ Phys H1!" Second Midterm Page 4' Egg, :3, £999 {c} Find the x- and _t'-cuurdjnntes of the cenler Elf mass of the two-fragment system 3 s after the EIplﬂSiDn. —-3- —-4- —-I. _; l [3“) ,gmt’e; = amen yam-2M +3 3:,“ 15 it? (Mr): Mi? + ’55 3"; :1 (40):? if an g?“ PROBLEM (4} [25 paints} A mass ml sliding with a speed of 5 m.I'5 an a hen‘zentel ﬂmr mLIJde-s with anether mass mg sliding with a speed of 3 We on the same ﬁrm! as Shawn in Fig. I. The speed of H11 after collision is. again 5 We and it is meving in the direction shown in Fig. II. Take m. = l kg and m2 = 4 kg. FigJ Fig. II it: {:1}What is the direction of motion at“ mass #1: after the enlﬁsiun, Le, a ='? @ 5r: *5'5w1'3?°+ fkgfsm'ﬁ I2 = Feat 3?d+ évgfﬂﬁ Phys i'ﬂ'j Strand Midterm Page 5 Der. I3. I??? {b} Haw much kinetic energy is last in [he tullisiﬂlﬂ' 1 _. f #- fmzt'bér'ﬂ 315/; GD 3 g: 1‘an 55423‘ = 5 Lgﬂ _I.. .4 In. 7:) L§M=4ﬁ1§g n—i m/r [cl]. In unitvector|1otation.ca|culale the jmpuJSI: dtlivcred to each mass during the cuiiisinn. "‘4 "'4'" .4 All}? :- ﬁl‘gf =-—5"Hn3? {ea—M3? : ~3:*4;-Ff¢ : #8" 21 _1 .3 A _ Afzi—ﬁf} : yfl'f-é‘; ,m I'LL; Phys J05 Swami .ﬁfa'a‘I-smr Page 6 ﬂat. IE. NW ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

105-19991-MT2 (1) - MIDDLE EAST TECHNICAL UNIVERSlTY TIME...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online