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Physics 220 — Exam AZ
March 4%, 2002
This exam consist of 10 problems that are worth 10 points each for a total of 100 paints, Please check
that you have all af the questions.
Fotraulas and constants:
voy, Lat
neu t+ O48 at yee st + OS ar
voy + Jax view! + Zay
xothdi(y, + v0 yy, byt
F=ma
Foun = Ee
fw 7, (Static fever} Fou. = py N (sliding friction)
aover KE=(.5m¥" PE gniny = MBH
W = Fal coed power = work/At
p=my Ap = impulae = F At
G= 6.67 2 1" Noth
Mass of the Earth = 4.93 x HP ke
Radius of the Earth - 6.38% 1° m
Mass of the Mars = 6.43 x 10" leg
Radzus of the Murs = 3.37 x 10" m
g= 98 mi!
Ll, AS) kw sack of coal is dropped on a 2000 kg tailpoed Alatear that was initially moving at 3.0 ms.
After the sacks tests ott the flaicar, find the speed of the flatear in ms:
fy) 06 m, 2 Sooks M2 + toow ky
o ‘ Mp = © ‘25 = 3. vs
(4) 42 = 3
(5) OR Rs 5
(a) 5.7
() 36 mvt Me, = Cm tm Vv,
(1B
O16 5
ED Vy 2 Te + Mz Veo
my, tine
: zon} (3)
Ve = Gey s 24s
2 Seb
2. Two identical blocks in the figure are released simuliancously from rest on # frictionless inclined
Plane. A staris at the top, and B starts halfway down. Lf the time it takes to reach the bottom of the
ramp is t, for block A and 1, for block B. Then t/t, is:
i} i
Gp &
2
4 033 {B
{3} 25
6 4
{7} as
(8) 8
m 6 Ke Block A
(1) V2
For Blect B hye tha .
ma dhe = Vy
Werk
3
7. Inan automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (racing = 0,32
mj. The appliance is designed so that the clothes tumble gently as they dry. This means that when a
piece of clothing reaches an angle 6 above the horizontal, it loses contact with the wall of the cylinder
and falls onto the clothes below, Find the number of revolutions per second that the cylinder should
make in order that the clathes lose contact with ihe wall when 6 = 70".
(U
1?
(4)
(5)
(6)
(7)
(8)
(3)
1g)
[cos = cos (qo-eh
= Smo
2.1
75
O82
13
O12
thal
31
Fab ene my ost
Ni = Io-e
Le “4,9
o
Efe tN Ungiesp = -mt
~
pra Sin o = av
—
r
Vs ¥rg sing
wt: ¥ ~ Vegding —
To ate FO Rpe = OES Hy
6. A basketball Gm = 0.60 kg) is dropped érom rest. Just before striking the floor, the magnitude of the
basketball's momentum is 3.1 kg m/s, Find the height (in meters) fom which the basketball was
dropped.
il) 026
(2) 1S
GB 04s
(4) 082
(S033
(6) 0.75
at
(B} 27
@ 32
{10 0.01
+
was F,
Gy 723 ms
9, A projectile of mass 0.750 keg is shot straight up with an initial speed of 18.0 ms. If the projectile
Tises to a maxinvnum height of only 11.8 m, find the magnitude of the average force (in Newtons) due to
air resistance. pms o-7s0 ks Anay = ig he
(I) 1.03 V¥, = 18.5 my
(293
(3) 7.35
(4) 4.90 We = AKE +44PE = Fd cosa
{5} 8.12
(5.93
(7) 0.397 Ym (poe) 4 ing Chg ~ he) => Fdeos Hos - FQ
(@) 0.623
b08 2
Wm) Fe emi = mah 2 295n
d
10. Masses mI and m2? ate connected by a massless string of fixed length that goes over a massless
frisionless pulley, Ag mass mi falls due to gravity, m2 pulls mass m] actos the table. The coefficient
of kinetic friction between ml and the table is p,. Find the tension (in Newtons) in the string, Assumc
mi =m2=2.0kg, and p, = 16 ’
(42
2} 368 FBR for me
@ 98
{6} a i
F
(7) 0.381
3) 126 ao
(3) bs FOR fon mi Jhyeo > New,sd => NeW, = og
cn mo 0 : Zfys Tf ema
w (®~ T= my, 4 +f,
ust (MEH Te ™.mg (144) = thew 6
Mate,