T1A_1420_fw09-10 - October 9 2009 5'01(Jr/GUS Name(please...

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Unformatted text preview: October 9, 2009. 5'01 (Jr/GUS Name (please print): Signature: I Student Number (optional): PHYS 1420 6.0 Test 1A 1. (6 marks) The position of a particle moving along an x axis is given by x = 3.0t 7 t2, where t is in seconds and x is in meters. 21. Determine the instantaneous velocity at t = 1.0 s : gig :; 3.0 —.219 waft/£95): 3.D-—.2(/.c>)"=- 10 “4/; b. Determine the average Velocity between t = 1.0 s and t = 2.0 s. 95 X2 ~X, [3.0(_2.0) —-(2-012J—[3.0(/~9}'€"/.7 0": é; __é( 2"9__/.o 07:0 0. What is the maximum positive x coordinate reached by the particle? MAXIMUM K I! QE‘ACHED W554 02;; 3-0 "—2-‘6': (.3 6-7/4": X= zo(r.r)— (~71: 2.21:0... 2. (6 marks) The best leaper in the animal kingdom is the puma. Imagine that the animal jumped from the ground with the initial speed of 12 mfs at an angle of 400 and landed on a branch of a tree 0.37 3 later. Determine the straight line distance from puma’s initial position to where the animal landed on the branch. )M | US {XX-20,! {- aim/r2 egg/coma“ {a 37:) = 3. has A) 7- CLJ‘LL *j‘qt‘a a A) 3/2 @9er 90°(o.33 5) +jK—2f%7}/a 3275-) AJ': 2./c€a_, [Y- : Axaf’sfia = Ufl.‘ru4}2‘+(2.rd€a./a 7—34.0/«4. 3. (6 marks) Two forces are applied to a car in an effort to move it, as shown below. If the car has a mass of 2500.0 kg, what acceleration (magnitude and direction) does it have? Ignore friction. '2 .57:ng E ‘5 5,, TE”: £10051) 5M3‘96féff‘3pjstutoa': {2‘ 7'0 1E7 f :(‘tuopj axsou+ @5910) agar/o“: .7119? {p F: W: WW) 1+(W’2M12' F: 795%) ._ F_ 7Wru _ A a“?«— grocky— 0.3.2 “*0 D : afc‘i‘row Z/aaoé 1'" [Lurk Zfifé‘c?‘ 7° K'AK'S) 4. (6 marks) Two blocks are connected by alight rope over a frictionless pulley, as shown below. The coefficient of kinetic friction between the 7.00 kg mass and the incline plane is 0.250. 21. Draw a free-body force diagram for each block. "‘3 b. Detennine the kinetic force of friction acting on the 7.00 kg block. {if/“UV =/<u m3 confine“ =‘ g :(Q'Z’QKQ-Uow/W’flflw: 39.0 7C2." /3-?)U' c. Use Newton’s second law and write two equations, which would allow you to determine the accolcratic'nn of the system of two blocks and the tension in the rope. It is NOT necessary to solve these two equations. “A M T—-— ‘(Ajgl'H 340*74‘2 “40- T— (7.uo)(?.4fl~r-L 311- rs} = 2. a a. T42 raj/93): zzoa. 5. (8 marks) Answer the following multiple-choice questions. a. A ball is thrown straight up in the air. For which situation are both the instantaneous velocity and the acceleration zero? 1. on the way up 2. on the top of the flight path 3. on the way down 4. halfway up and halfway down G none of these. b. If Earth’s mass and radius both suddenly doubled, your weight would 1. increase 4 times 2. increase 6 times 3. increase 8 times decrease 2 times . decrease 4 times. c. How long will it take the hemoglobin molecule to diffuse an rms distance of 0.001 mm along the x direction in water? Diffusion coefficient for hemoglobin in water is D = 6.9x10'“ mZ/s. 1.0.75 . XMAS 7‘ i 2- bf 2.0.075 2- 0-6 )2- .0073 :M _. L 0.0007 s 2 D 5” 51 5. 0.0000075 - Z a?“ 5 f 2 Q C30 3; d. The velocity versus time graph for an object moving along a straight path is shown below. The average acceleration of the object during the time interval 3.0 s to 17 .0 s is 1. 0 2. 0.88 m2 (91.1 m/s2 4. 1.6 m/s2 5. 0.63 ran/s2 ...
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