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PHYSICS 220 EXAM 1
February 23 2005
This exam consists of 13 problems. Please check that you have all of them.
One (both sides) 8 1/2” x 11” crib sheet is allowed. It must be of your own creation.
Useful formulas and constants:
Also uséat
¥-Yo = £LVox tr) t
z.3
32 _41'r”
GMe
“1 fy
O= tan e)
g=98m/s°
Constant acceleration
xox ty lar vay tat v? avy +2a(x—Xx))
Fes mii Figg = HN F pion = HN
Gmm -
Fas = * 2 G =6.67x10" Nin? / kg?
a,=V/r Epping = HE o=2nf f=l/T
Constant angular acceleration
1
O=8, tay sat? O= 0, +at @ =a, +2a(O-)
O=sir @=vir
Please sign the opscan sheet and print your name on it.
Use a #2 pencil to fill in your full name, your student identification number (old one),
and finally the answers for problems 1~13.
Please be prepared to show your Purdue ID when you hand in your opscan sheet.
Page 1
Oz=25 °
1. A box is sliding down an incline at constant acceleration. The angle of the incline is 25
degrees and the coefficient of kinetic friction is 0.2. The acceleration ¥ the box is,
KrO2 hae: d
SR =m ax ify = Mk
2 _ - =O
soem ero |
C 13 m/s’
i <p Vangel “ey |
Ams! yy WoinP=mgsub
E) 2.2 m/s’ Wy = = WlOP = mq CoO aelygeod +m $b = = dx
Ay = MngtosO 9s 42,37 Wz
2. A locust jumps with a velocity of 3 m/s at an angle of 55 degrees above the horizontal.
The locust lands 0.8 m from where it jumped. What is the time it takes the locust to
reach its pe Bs | : at ma height:
Or 5S? ve tR= 04m
A) 0.051 s wae Y lye ts §
Gjoass OE bs nas
Ug?
Vyy = V,C0502 1 72"Is ty ;
E) 0.50s en ]vog Vy 2th 38 = 2.46 %s re Aste es cab,
Voy it? want 0,15
3. Two masses are suspended by cord that passes over a pulley with negligible mass. The
cord also has negligible mass. One of the masses, mi, has a mass of 5.0 kg (i the other
mass, mp, has a mass of 3.0 kg. The acceleration of my is:
7 (mg Hmyayng = nd
el mania ghd
A(t tM) = Hg Ma§
A) 3.25 m/s? upward é m4 m4 a: ing -m4
a
B) 3.25 mis? d d fl tM;
's* downwar fa 025-08 f m, ti
C) 2.45 m/s? upward z
yeas Tengeme ea (RE 2SEE
D)°2.45 m/s? downward
: _ “Wid 2 daonwuad |
E) 1,05 m/s? upward m,=4 k4 @ fy 2M, a yt? > | m, moves dana
m2 73 \g (ra)
, wil Page 217g on ‘f
50 Mh, will Mov
downtwafd. T= tagtM&
9. A 2000 kg car is traveling on a banked curved icy road. The velocity of the car is 25 m/s
and the road has a radius of curvature of 500 m. If the car is to travel on the icy road
without sliding, then the angle of the banked road is,
uM
v= 25s
tn (ee
A) 25.7 degrees O=tan ( 4 r= 50m
B) 21.0 degrees g= 43 G5*
C) 12.7 degrees b= 7,269 °
D) 10.5 degrees
(®))7.27 degrees
10. Ifthe length of the Achilles tendon increases 0.50 cm when the force exerted on it by the
muscle increases from 3200 N to 4800 N, what is the "spring constant" of the tendon?
Fe kx
())3200 Niem «
B) 6400 N/em A St tynalorce —~tddrtronel lengihenng
C) 9600 N/cem ~32tv v
D) 16,000Nom £ = waapn Sv) (3000 “em
E) 8,000 N/cm
11. During normal operation, a computer's hard disk spins at 7,200 rpm. If it takes the hard
disk 4 s to reach this angular velocity starting from rest, what is the average angular
acceleration of the hard disk in rad/s*?
224d | a
§,=0 We 7200 $i * a * see
A) 1800 rad/s? B® w= 753.98 ls
B) 900 rad/s? pO
C) 380 rad/s? = 75345 Ys
) 190 rad/s’ a> want
E) 6.82 rad/s’ £: 4s
12. An airplane is climbing at an angle of 5 degrees above the horizontal at a constant a=O
velocity. The weight of the airplane is 40,000 N. The wings (which are also making an
angle of 5 degrees above the horizontal) produce a lift force that is perpendicular to the
wings and a drag force that is parallel] to the wings. The drag force is 1,600 N. The
forward thrust force the engine produces is:
A) 3,200 N \o0o.N
5,100 N oe Fay =|
) 8,300 N 9
D) 10,500 N ~— y=wosit
E) 12,000N R <t B04 wx= 348ON
Fyn “8 _ Uy = sated
x i mike
13. Grant Hill jumps 1.3 m straight up into the air to slam-dunk a basketball into the net.
With what speed did he leave the floor? _
; Fhrosd ~ Fey Wy = 0
In
A)3.6m/s y= 13m Frost > Farag +x
Bem. a want [Bhs = = 5086N ,
D)12.7ms y, = 0 (yt peak)
E) 9.8 m/s Vy (op
dy = -48 g%s2
bt: 7? ee
> b
yi 2)
Voy * “Lay
Vay 2 Vayy 21-49% (13m)
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