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Unformatted text preview: October 6, 2010. §0L o 1": op S Name (please print): Signature:
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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 $.30 #6 ’— " ._. at... “'3
aﬁv' .2_o.—0 2 “— d. Does the particle move in the positive or negative xdirection at t i 2.0 s. were) :«36 “I; z o
A HEGQWVKX" 0H2, 6. (6 marks). Two bloCks are connected by a rope, as shoWn below. The mass of the block on a 300
incline surface is m1 = 5.0 kg and the mass of the block on the horizontal surface is m; = 15.0 kg. The system of the two masses is pulled with a force of 60.0 N applied at an
angle of 600 with the horizontal. Ignore friction. a. Draw freebody force diagrams for both blocks.
m, ' H' t’.‘ 7’ b. Use Newton’s second law and write two equations, which would allow you; to
' determine the accelerationof the sjrstem of two blocks and the tension in the rope connecting them.
It is NOT necessary to solve these twocquations. 71 144.3 r1130": M: a 60mm: T: m; a.
7” (57903j/ﬁd94g2 f/‘uﬁoozsé’o— 30M — T: 50¢?)q 3. (6 marks) A ﬂea jumps from the ground with an initial speed of 4.0 m/s directed at an angle
9 = 45.00 above the horizontal and lands on a branch of a tree. The horizontal distance of the branch ﬁfom the position of the ﬂea is 0.4 m. a. How high abbve the ground is the branch? b. What is the magnitude of velocity of the ﬂea just before it lands on the branch?
7"“
(/2 GK 1 0:1 2 c}; 5 036 '3' do ®5Q$‘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 calmoving along a straight road (xaxis). _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
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 Fall '10
 StanislawJerzak
 Physics, Acceleration, Draw freebody force, city B. Finally, —.. aw i’fzﬂ/z, city C.

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