Physics 2 11am solutions

Physics 2 11am solutions - Midterm # 1 Physics 2 Spring...

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Unformatted text preview: Midterm # 1 Physics 2 Spring 2008 version: i . A 1.Whatiiji? a)—i b)i c)-j d)j e)—k 2. Three forces act on an object (two are shown)- What distance in meters from point P must the final force be applied at in order for the object to be in equilibrium? 3“ a) 0.8 b) 0.7 c) 0.6 e) 0.4 f fink-:0 TN+=D i e—o.'1m""’ISN 3/ 7:2: 40.5015 +al'll- ‘g‘ F;:F-i=o d=D.S' 3. What is the torque due to F1 about point ‘7 k“ “M W L a)9i b) 18j c)18k d)36i e)36k Q; x T=FL 7‘ (13)(7/) F'l-alfikl Ema—p £2 5M3 .‘5 wound. Around Solid 0! “Milt; M: Z‘V’JI L’OJM MASIIC-r—r 4. Find the accelerats2 of the 4 kg mass. (use g = 10 m/sz) 1’““""1 a) 2 4 C) 6 e) A‘xd fofl‘ROfl. .fir M41) ro’r'f- 1 .- = ‘ x ‘ : HR ‘10 Er "M A “,3w/5v Emmy: ,RFT': i-(ZWME 5. The sketch shows a top-view of masses m1 and m atop a frictionless, horizontal surface. Mass m2 is initially at rest. Mass m1 is initially moving with speed v before striking m2 directly at its center. Mass m2 subsequently slides in the +x direction. Is the angular momentum of the mi—mz system about point P conserved during the collision? b) no c) need more info to determine “‘2, A V ®_p 6. A spinning gyroscope is placed on a support as shown such that its initial angular momentum is given by: L = -10i'. The axle initially lies in the plane of the page (x—y plane). From a top-view (a person lookin; down from above) the gyroscope begins to spin when released. b) counterclockwise c) it will not rotate as viewed from above d) need more info to etermine o [0- Z 7. A uniform wooden block is at rest on an adjustable incline. The block does not slide as the incline is raised. What is the m . a urn angle in degrees above horizontal before the block topples over? a) 26 b) 30 d) 38 e) 42 fl +494 % q‘fi 9': 8. A 2.00 m steel wire attached to the ceiling has cross-sectional area 10‘6 m2 and Young's Modulus 2 x twill stretch to what total length in meters when a 1000 N weight is hung from the free end? b) 2.02 c) 2.04 d) 2.08 e) 2.16 ’37 AL : FLo : IO’LM L: Lad-AL 1‘ Lotm AL A‘! A. 9. The uniform 4 m, 80 N plank is shown with a 40 N weight resting on top, 1 m from the right end. The plank IS in equilibrium. What is F1 in Newtons? e H M m a) 30 b) 40 c) 50 d) 60 waxyfizjz _-_ 2 T :1 D t E T “K S‘Fy O B (sic > ( F‘ F” f ; —- 3 f H0 4“ If F- :— F;:7ow 10. A satellite is in a circular, geosynchronous orbit (makes one revolution around Earth in 24 hours). Calculate the distance in meters from the satellite to the earth's - I r. .._. = 5.97 x 1024 kg 21) 1.8 x107 b) 2.4 x107 0) 3.0 x107 d) 3.6 x107 m TCZL‘IMW‘S‘ \ LIZ r: . x1 3/7. 01m ._, Zirir W? 11. Calculate the acceleration due to gravity in III/82 for objects dropped near the surface of Mercury. Mmercury = 3.3 x 10” kg and Rmercury = 2.4 x 105 m. a) 3.0 lb) 3.8 S c) 4.6 d) 5.4 e) 6.2 _ GM”... 3W6. I K 1' 2 33 M/IL M 12. A particular binary star system is composed of two stars of equal mass M, both moving along a circular path of radius R. Calculate the stars' speed in terms of G M ’ . ey move in this orbit. a) GM/R b) (GM/R)“5 c) (GM/2R)0~5 d) GM/4R e) (GM/4R 0-5 Sta—r5 W‘Wt WW- ALoer Mr coder 613 WW“, 5° +5“! W‘W‘ “J”? «Vivi tuna drCMLV‘ 44". f“ a =mY} : s t’ ' E) t2- Lzrz)‘ é — / -é-M V iii: 13. A rocket is fired vertically upward from the moon's surface with an initial speed of 500 m/s (this is the rocket's speed once the engines are shut off which occurs when the rocket is still very close to the moon's surface). Ignoring the rotation of the moon, find the maximum altitude in km (distance above the moon's surface) reached. u = 7.40 x 1022 kg, Rmoon = 1.70 x 106 m. a) 20 b) 40 c) 60 id) 80 e) 100 ‘ v~ 2 ‘30 km Alum/a Jeri-ea. KEfi'PE‘; 2kg +1964 fl swag = 0» W(*‘—“+~’3) 14. A spinning figure skater pulls his arms in as he rotates on frictionless ice. As he pulls his arms in, what happens to his angular momentum L and kinetic energy K? a) L and K both increase b) L stays the same, K increases I c) L increases, K stays the same d) L and K both stay the same 15. A glider of mass m, on a frictionless horizontal track is connected to an object of mass m; by a massless string. The glider accelerates to the right, the object accelerates downward, and the string rotates the pulley. What is the relationship among T1 (the tension in the horizontal part of the string), T2 (the tension in the vertical part of the string), and the w ' a t mg of the object? a) m2g=T2=T1 b) m2g>T2=T1 m d) m2g=T2>T1 T. 16. Which of the four forces shown here produces a torque about P that is directed out of the plane of the drawing? Fl F?— a) F1 b) F2 c) F; d) E; le) more than one of these I F f 3 l2 H? FH 17. Two rods are made of the same kind of steel. The longer rod has a smaller diameter. A force of magnitude F is applied inward to the ends of each rod. Compared to the rod of length L, the rod of len th 2L has: a) more stress and more strain b) the same stress and more strain c) the same stress and less strain d) less stress and less strain 6) the same stress and the same strain Siva» '1 F/A Y: Sin-in ‘- 13%. 18. An object has weight W on Earth‘s surface. What is the object's weight when it is placed at the bottom of a narrow shaft that descends to a depth of one half of Earth's radius. Assume Earth's density isunifr .Li 3 ‘i a)WC)3W/8 d)W/4 e)W/8 w= 6"“ (/3 PURE) .. GW/ ZWRE IA M Jim"? f. N ' G 0:: )7. G—Mf gwfleiéev W w w a 19. A planet is moving around the Sun in an elliptical orbit. As the planet moves from perihelion (closest to Sun) to aphelion (furthest from Sun), what happens to the planet's angular momentum, L, about the Sun's position, and what happens to the potential energy, U, of the planet-Sun system? a) L and U both increase b) L and U both decrease c) L stays the same and U decreases \, d) L stays the same and U increases e) L and U both stay the same 20. Star X has half the mass of the Sun. One of star X's planets has the same mass as the Earth, and orbits star X at the same distance at which Earth orbits the Sun. The orbital speed of this planet of star X is: a) faster than the Earth's orbital speed b) the same as the Earth's orbital speed @ Eartfils orbital speed s d) not enough information given to decide ...
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This note was uploaded on 05/04/2008 for the course PHYS 2 taught by Professor Freedman during the Spring '08 term at UCSB.

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Physics 2 11am solutions - Midterm # 1 Physics 2 Spring...

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