PHYS TEST1 - October 6, 2010. §0L o 1": op S Name...

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Unformatted text preview: October 6, 2010. §0L o 1": op S Name (please print): Signature: Student Number (optional): PHYS 1420 6.0 Test 1A 1. (7 marks). The position of a particlernoving along an x axis is given by following equation: x = 6.0t — 3t}, where t is in seconds and x is in meters. a. Determine the instantaneous. velocity at t = 2.0 s_ d 2 0—: a? : 6.0 w 9%2' . Wang) —.-. aw i’fzfl/z: «v30 “’4— b. Determine the instantaneous acceleration at t = 2.0 s. ,. _ a d(é=2.c95):: 41/ c. Determine the average acceleration for the time interval from t = 0 to t = 2.0 s. yyfazo) .— U‘(+;o) 7 $.30 #6 ’— " ._.- at... “'3 afiv' .2_o.—0 2 “— d. Does the particle move in the positive or negative x-direction at t i 2.0 s. were) :«36 “I; z o A HEGQWVKX" 0H2, 6. (6 marks). Two bloCks are connected by a rope, as shoWn below. The mass of the block on a 300 incline surface is m1 = 5.0 kg and the mass of the block on the horizontal surface is m; = 15.0 kg. The system of the two masses is pulled with a force of 60.0 N applied at an angle of 600 with the horizontal. Ignore friction. a. Draw free-body force diagrams for both blocks. m, ' H'- t’.‘ 7’ b. Use Newton’s second law and write two equations, which would allow you; to ' determine the accelerationof the sjrstem of two blocks and the tension in the rope connecting them. It is NOT necessary to solve these twocquations. 71 144.3 r1130": M: a 60mm: T: m; a. 7” (57903j/fid94g2 f/‘ufioozsé’o— 30M —- T: 50¢?)q 3. (6 marks) A flea jumps from the ground with an initial speed of 4.0 m/s directed at an angle 9 = 45.00 above the horizontal and lands on a branch of a tree. The horizontal distance of the branch fifom the position of the flea is 0.4 m. a. How high abbve the ground is the branch? b. What is the magnitude of velocity of the flea just before it lands on the branch? 7"“ (/2 GK 1- 0:1 2 c}; 5 0-36 '3' do ®5Q$‘u:fl- 0 “A )‘COSGJ'E: 2~ («If _ ()5 2 adj + ayezfipwsjsmr" T—fld’ (me/(01w): (#6 i6 U": (/(2y; 04/5}; 7L flea'év/g/L ;—.' 3:; “y;- 4. (6 marks) A commuter airplane starts from an airport and takes the route shown in figure below. The plane first flies to city A, located 175 km away in the direction 30.00 north of east. Next, it flies for 150 km 30.00 west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the direct distance R from the airport to city C. 5. (6 marks). AnsWer the following two questions. a_ A car starts fiom rest and accelerates for 1.0 minute, then the ear maintains constant velocity for 1.0 minute, then it slows down for one minute and stops. Sketch the position x versus time t graphs for a cal-moving along a straight road (x-axis). _b. The mass of a hypothetical planet is 111000 that of Earth and its radius is 1/4 that of Earth. If a' person weighs 600 N on earth, what would his weight on this planet? 1.2.4N ' 2.4.8N - - .6N e” péoo D: 756/“ .96N - {900 5.600N '. A -- A 9-: fl ‘, i=3?" J CL“ 3'? ,Qfi “£5- lJ'”:LE+O.i: , use“: +119, Varwlr 264* 55%.3knagg.grma1 Sam; 2F3”3 ; Xmst'VZDa Mir/42v (3.x;196k-ec :0 if 6‘ g“! |. . 2%: at. I Egg-£34.... m}: I %;"IL-5,;M k 1 | f 1* tr- 1 ' i ...
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This note was uploaded on 09/07/2011 for the course PHYS 1420 taught by Professor Stanislawjerzak during the Fall '10 term at York University.

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PHYS TEST1 - October 6, 2010. §0L o 1": op S Name...

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