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Unformatted text preview: 1 PHYSICS 203 =1 0173 FINAL mm. MAY 17, 1999.
ANSWER ANY E“ OF THE TWELVE BUES'HOHS. 1] Giventheiwovectors: __3 A' A . 4
A=2i4i+4k a c_:t«3+5&
=i+3j+k .J_,‘ _ 0
Find a} Thevectorc=A+B , ibisQ" 35? A
b) Theanglebetweennandc f, —a —.~_H «ﬂ 4
c] ThecrosspfoductoanndB LJﬁXBm lél «417er The diagram on the left is the velocitytime '
graph of a particle. moving along the xaxis.
The particle ts at the origin at t = 0. a) During which timeintervals is the speed of the
particle increasng 9' i b] During which timeintervals is the velocity of the particle increasing ?
c] What is the acceleration of the particle at t = 55?
d) At what time is the particle at its maximum
_ distance from the origin?
0‘) C's"’43 A’VD 53“”63 e) Whatisthlsmaximumdlstance?
b) 05 —e L} 5
(4404751 0025,”. e) 254" 3.] A car and a truck are 120 m apart on a straight road. as shown in the drawing below. The car ls
‘ traveling to the right at 20 mls and is slowing down at the rate of 2.0 mlsz. The truck is traveling
to the left at to mis and Is speeding up at the rate of 3.0 mls’.
a] When and where do the two vehicles pass each other? [Give the distance from point A In
the ﬁgure) '  b) What are the velocities of the car and the truck the instant they pass each other ‘? A rim
———~> 4....
m
a) 3'3 S J 58%“ b) 71;: iZLrhé 743':—2rlr”7s h 54 'lli An airplane. diving at an angle of 37“ below the
horizontal drops a bag of food from an altitude of
800 m. The bag strikes the ground 5.05 after it had
been released from the plane. a} What was the speed of the plane as thebag was
released? ' b] How far does the bag travel horizontally during its
fall '? c) Findthe velocity of the bag [ its horizontal and
vertical components) 10st before it strikes the ground.
a) £135 ‘75 m')74::‘li'é”"/5 I (Roz0" A 3.0 kg mass and horizontal surface and a 1 .0 kg ‘
mass on a 37° incline are attached to each other.
as shbwn. The horizontal surface and the pulley
are frictionless and the coefﬁcient of kinetic friction
between the 1 .0.kg mass and the incline is 1!. =0.2
The i .0 kg mass is pulled by a force F parallel to
the incline. a] If F = 20 N. what is the tension in the connecting
cord '2 . b] What is the acceleration of the system ? 6.) Acar is driven over a hill: the top of the hill can be
 approximated by a circle of radius 250 m. as shown on the
left. ' a] Draw a free body diagram for the car as it passes the top
of the hill. b] lithe car and rider weigh 500 kg. and the speed of the car
is 30 mls ﬁnd the force. exerted on the car by the road at
the top of the hill. c] What is the greatest speed the car can have without leavlng the road at the top of the hill? a) ‘1"l5 "~75 7.) The weight W = 20 kg ls supported by Three
ropes as shown. Rope #1 makes an angle of
60° with The ceiling and rope #2 makes an ‘
angle of 60 0 with the well, All three ropes are
attached too small ring. as shown. 0) Draw a free body diagram for The ring. b) Find the tension in all Three ropes. Illli ii 8.) A vertical spring of negligible mass and spring ‘ constant k = 1000 N/m has a small object of mass 1 V M = 5.0 kg placed on its Top. The spring ls held
Ir ' compressed by a distance D = 25 cm from its equilibrium position, as shown in ﬁgure (a). if the _
system is released from rest ﬁnd The speed of The
mass as it passes through The equilibrium position In
ﬁgure (is). (Use g =.9.6 m/sz) ' 2 re a»
(a) (in) /S 9) A 25 kg box is pulled up a 20 m long and 3.0m
F high ramp by a constant force F = 120 N parallel To
The ramp. if the box starts from rest at the bottom /1 of the ramp and reaches The top with a speed of in m 3m 2.0 m/s, ﬁnd The coefﬁcient of kinetic friction / t between the box and the ramp. ' to) A bullet of mass = 20.09 ls ﬁred with a mute velocity of 600 m/s from a hunting rifle.
The mass of The rifle is 5.0 kg. 0) Find the recoil velocity of The riﬂe. b) if The riﬂe is stopped in a distance of 4.0 cm by The shoulder of The hunter. find the
. average force exerted on The shoulder by the riﬂe. _ c) Find the impulse delivered 7
cuanfﬂh/S b} 3,60.” ' c) TZN—S .1 i.) A 4.0 kg hard rubber ball. moving To The ﬁght at 4.0 m/s collides with a stationary 6.0 kg
hard rubber ball. as shown below. it This is an elastic collision, calculate The ﬁnal
velocities of both balls. using ﬁrst principles. Shaw all your work! v1=4mls v2='0 v"='? v2,=?
I before The collision after The collision
(b‘: 32 0'75 '2—0800'4'1/5
6 4*
12.) A solid wheel (made of Two disks mounted on the same axis) has a moment of inertia I = 0.4 kgm2 and is
free To rotate without friction about its axis Through point 0.
A rope wrapped around its outer radius, R1 = 0.25 m exerts 12.0 N a downward force of 9.0 N on The right side of The wheel.
A second rope. wrapped around the smaller disk of radius
93 N 2 = 0.10 m exerts a force of 12.0 N. directed perpendicular to R2 . as shown a) Find The Torque due to each of The two forces and find the
net Torque on the wheel. b) Find The angular acceleration or of the wheel.
c) How many revolutions will the wheel make in i 2.0 s °\)CEI:—27—5Mm T=l2.Mm Twig1.05 MW 1. 13) «2—243 ﬂaw/k? (h men/rim MW) C) 30.7, ﬁsv (91 ...
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