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Physics Fall 2006 Common Hour Exam 1 Solutions

Physics Fall 2006 Common Hour Exam 1 Solutions - 1 The...

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Unformatted text preview: 1. The diagram below shows 3 vectors which sum to zero all of equal length Which statement below is true? a.) 2A+2B=2C -3 b) A+B=B-C A, e) A-B=2A—C A- @ A-B=2A+C e) A+B=A-C 2. Which of the following quantities has the same dimensions as kinetic energy, —mv2? Note: [a]: [g]: LT 2 [h]: L and [v]: LT— 1.111311111111111 :mzfr‘i m M1...» 0) b) rnvt (3) ma d] invx e) mgt 3. One mole of the carbon—12 isotope contains 6022 x 1023 atoms. What. volume in m3 would be needed to store one mole of cube—shaped children’s blocks 2.00 cm long on each side? a.) 4.8 x 1024 VD “(EMF = EMU-61113 b) 6.0 x 1023 I3 0) 1.2 ><1024 Vfomx 6 021 11102348 110 m3 © 4.8 X 1018 Vmole e) 1.2 x 10‘22 4. Given that A + 2B— — 3312' +y1j and 2A B—- -— 3321+ ugj, what is A? (9 A=1ul+2$212+11m+2y2fi (3X Bl 1 +(A+°XB)' 5A (“XX-=1)” b) A = %($1+4$2)E+%(y1 +2921; +13 1 335%“ e) A=§(x1+4x2)§+%(y1+4y2)3 ' d) =1(x]+4x2)§+1(y1—4y2)g . ) 9) A:%($1—2$2)X+%(yl_292).} A : -;:.(X.+ HQXZ): + 'L(:j: X‘le J 5. A rocket, initially at rest: is fired vertically with an upward acceleration of 10 111/82. At an altitude of 0.50 km, the engine of the rocket cuts off. ‘Nhat is the maximum altitude it achieves? . if 3-) 1.6km At 0.5km Dial: cola/(Alli :oinOglzX 5001M: lOOOOSZ ® 1.0 km :1 1111 111001 at ‘- e) 1.3 km 51 __ : fli maximum Olliluole L01, _ UT All 2 211 U?" 11 9% l AXE-0X55 , , IO . M lea’k’AhiJfAlii “l0 m . Alli: £9029 -:. Slom 6. Two children start at one end of a street, the origin, run to the other end, then head back. On the way back Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin? a) Mike has run a greater distance, but his displacement is less than Joan’s. b) Mike has run a greater distance and his displacement is greater than Joan‘s. @ Joan has run a greater distance, but her displacement is less than Mike’s. d) Mike has run a shorter distance, and his displacement is less than Joan’s. I e) Joan has run a greater distance and her displacement is greater than Mike’s. 7. An automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0 3. What is the magnitude of the constant acceleration required to do this? @ 9.9111/82 3’sz OHLWl: 400M b) 8.9 I‘ll/82 _ c) 9.6m: a . is; = 036402” : 9.91“». a) 0.6 m/s f (93} e) 4.6 III/82 8. A particle starts from the origin at t2 0 with a velocity of (16 i - 12 7') in/s and moves in the xy plane with a constant acceleration of a— m (3.0 i - 6. 0 j) m/sg. What is the speed of the particle at t— — 2. U s? 33III/s m{}— U: {at b) 39 m/s L C; 4311168 (0(2)16'—flj+(3l "' 6i“) 02': Gina-A 'tflqJ d 46 m s e) 52m/s Was)! l2; +52% = 33 3;— 9. An airplane flies horizontally with a speed of 300 ni/s at an altitude of 400 m. Assume that the ground is level. At what horizontal distance from a target must the pilot release a bomb so as to hit the target? :3 is; va'tat mt @ 2.7km x4 ; X; + \fch d) 3.3 km ‘ _ iQOOMl .. . e) 3.0km x3C —X£ : Vx'l: ; 300g" —(-§-8— = fiOOm 1(4 00m") W'I 10. A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute. What. is the acceleration of a passenger at his lowest point during the ride? 1 . a) 19 m/s2 downward T 3 mm 1 '23 b) 14 m/s2 downward c 5 , -_ _ 1 —Z 5.? III/82 upward ac ; Q : (”awn/T) — 4 H F" l” l d) 4.1 rn/s2 downward 4.1 n1/s2 upward l Some possibly useful information: 9 = 9.80 m/s2 1 mile 2 1.609 km ...
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