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Unformatted text preview: Final (Physics 3A) Name , ID , Discussion Section Multiple choices (5.0% each) 1. A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes
the ground at a point 65 m horizontally away from and below the point of release. What
is the speed of the ball just before it strikes the ground? a.43m/s ‘0—2 l/ox V630 4951007‘4; A3=—3L(Cl'8)tz
ci39rrrril/s t 4515 _ U— ;.—q.3)(4—_$—1€4’q‘3%
d.36m’s \ ' ﬂf e.14m/s X, (fgxzr4rlzanq’W/S Vzml‘46‘éM/5 2. The net force on a 0.035 kg rock falling through the air is F: mg — 3.2 x 104v? What is
its terminal speed in m/s? 3'33 Ham :9 62W $327M/s
c. 27 5 lilo“;
(1.31 <@ 3. A rollercoaster car has a mass of 500 kg when 5.0 m":
fully loaded with passengers. The car passes over a
hill of radius 15 m, as shown. At the top of the hill,
the car has a speed of 8.0 m/s. What is the force of
the track on the car at the top of the hill? a. 7.0 kN up __ ; maczml
b. 7.0 w down "3 F” ‘2'
c. 2 8 kN down 1
O FU;M(3_ ‘L :5‘oox(q.g e. 56kN down .
= 2.7’7X/09/l/ 4. A 5.0 kg object is pulled along a horizontal surface at a constant speed by a 15 N force
acting 20° above the horizontal. How much work in J does this force do as the object
moves 6.0 m? a 78 F: (57¢ b 82 Q L‘: ” w: Fme: meme?
e: 4: 6M ‘ 25146] 5. A 1500 kg car is moving at 21 m/s when the brakes are applied. If the coefﬁcient of
friction between the car and the road is 0. 37, what time in s does it take the car to stop? {3%) 9 F0: ”“6; =fﬁﬂm3=ma¢r§ 605%
c. 64
_ t _ ‘ U? __}J_,= 6. An object moves from x = 0 m to x = 7 m subject to the force shown in the diagram.
How much work in J is done on the object by the force when the object moves from
x = 3 m to x = 5 m? Fix) (N) d: 20
e. 40 7. A 0.012 kg ball 15 thrown straight up with a speed of 11 m/s. What IS the magnitude of
its momentum in kg m/s when it reaches half its maximum height? 1,
a 0.084 VF @ f _— Iliaw Po’ﬂi : Mgh‘; ELM“; : 25‘
C. .098 k .1 J =7 V =9” d. 0.073 M wdiaowr MmU +mj('g ): ”0+0 "" . 0.049 t
e U: FT": MMZOOILXE' H=ooq31§9M/5
8. A 50 kg boy is on a massless swing that has an effective length of 3.0 m. His potential
energy is zero when the angle between the swing and the vertical 1s zero. What is his
potential energy (in J) when the angle between the swing and the vertical 1s 35°. ‘7
a. 125 1—66) 5— c. 245
.166)
e. 263 I4:/QLl—055 9) 9. How much work is done by a person lifting a 2.0kg object from the bottom of a well
at a constant speed of 2.0 m/ s for 5.0 s? C. . \ W ‘
10. A 1250 kg car movingavith a speed of 28.1 m/s collides head on with a 9260 kg truck
moving with a speed of 22.3 m/s in the opposite direction. If they stick together, with
what speed in m/s will they be moving after the collision? (\5. 16. D
b. 22?) ET [6;] maid MM =Lw~t+m+) W _
:1. 3:; a dick U/z ’mng‘l‘ M’MZZ' = vlb~g "/5
e 253 7360+le0 l 1. After starting from rest with constant angular acceleration, a wheel reaches a speed of
15.0 rad/s in 3.00 5. Its change in angular position in this time is a. 12.5 rad. w.‘+ ' ‘ «o
b. 15.0rad. AG: #9:": 2 0Hi X5 =LZ~§Ra.ok
c. 17.0 rad. 2
(if. 22.5 rag)
c. 25.0 rad. 12. A rocket burns 93 kg of fuel per second. The exhaust gasses have a relative speed of
12 x 103 m 5. What is the thrust in N on the rocket?
. 11x 105 M 3 5.
5
E; 3:33. W: Va. “06E : 1.1m x73 2 I t UUO N
d. 4.4x 105
e. 5.5x105 Free responses 1. (14%) A 5.00kg block is set into motion up an inclined plane with an initial
speed of 8.00 m/s. The block comes to rest after traveling 3.00 m along the plane,
which is inclined at an angle of 300° to the horizontal. For this motion determine
(a) the change in the block's kinetic energy, 1'.= 8.00 m/S /\
(b) work done by each force (draw a free body 3.00 m W/I
diagram), (c) the friction force exerted on the block and
the coefficient of kinetic friction. 7.. 2
(0.) AK: sz‘Uj “imw
”73 ‘== O‘%x5ox(8e°)l=~lb°J
a 170 L7° Wm =0 3 Wma :‘mjAj i—5‘°"7‘3"3‘°‘3‘;‘5g
= 73J’J
 _, : 60 vsiéwk
ijer_ AK ./> Wf=a:%l:vm9 4 * 2. (14%) A 5.00g bullet moving with an initial speed of400 m/s is ﬁred into and
passes through a LOOkg block. The block, initially at rest on a frictionless,
horizontal surface, is connected to a spring of force constant 800 N/m. If the
block moves 5.00 cm to the right after impact, find
(a) the speeds of the block and bullet right after the collision
(b) the loss of mechanical energy in the collision. Bulle+=l Whm‘l‘O: m,UT/+MLU;/ 57o VI”:l].lh“.:‘_‘1(/L/=4ool_u.w=ll5’M/S o 005 3. (12%) A solid disk of mass m and radius r (I=mr2/2) rolls without slipping
along the track. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r.
What is the minimum value of h (in terms of R) such that the sphere
completes the loop? T0!” 17°
, F” ma ‘2
FM “(7: Mz‘gﬂ
Z . . . to
Rolling? 00"" U 73LMYL
/ NO
7' .l ” —r)
W“ 12% +21“ ”’3‘“
__ l a
5 ‘4‘Wj “”3”“ ﬂ
: ingHnjml)
h:(z+i~)k:2~7§R  (8% Bonus points) What are the force components on the sphere at the pointPifh=4R? \
VP Wmfwwwjtuwkm p. 270) at
‘ ’— —— 2—?"
f 611“ M311 2: ~ZLMUp +f1wF+M3Rv>ijH 4 P
< 2
W Up :4ﬂK — L
W0 HOYiMJ—M kw: m 723: 4mg 2%: Z c
[)th ‘ Trig—f: mam ) frz—Lmr o< msam ...
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 Fall '07
 Casper
 Physics

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