e2A_111_f08_solution..

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1. Doug hits a hockey puck, giving it an initial velocity of 6 m/s. If the coefficient of kinetic
friction between ice and puck is 0.050, how far will the puck slice before stopping?
A 19 m B 25 m C 37 m D 57 m E 68 m
6 
v
1  2
m v f kx x
2
  m g
fk
0.050
1  2
mv
2
x  36.735
fk
2. A trapeze artist, with swing, weighs 800 N. He is being held to one side by his partner so that
the swing ropes make an angle of 300 with the vertical. In such a condition of static equilibrium
what is the tension in the rope?
A 924 N B 400 N C 196 N D 461 N E 786 N

30 deg
w
800 T
w
cos (  )
T  923.76
3. Rupel pushes a box 5 m by applying a 25 N horizontal force. What work does she do?
A 10 J B 25 J C 125 J D 550 J E 750 J
x
5 F
25 W
F  x W  125
4. I use a rope 2 m long to swing a 10 kg weight around my head. The tension in the rope is 20
N. In half a revolution how much work is done by the rope on the weight?
A 40 J B 126 J C 251 J D 0 J E None of the above
m
5.
A
B
C
D
E
10 T
20 W
0
When an object is dropped from a tower, what is the effect of the air resistance as it falls?
does positive work
increases the object's kinetic energy
increases the object's potential energy
increases the total energy of the object
None of the above choices are valid
5.W
henanogjectisdroppedfrom
atow
er,w
hatistheefectoftheairesistanceasitfals?
A
doespositvew
ork
B
increasestheobject’skineeticnergy
C
increasestheobject’spotentialenergy
D
increasesthetotalenergyoftheobject
EN
oneoftheabovechoicesarevalid
6. A simple pendulum, 1 m in length, is released from rest when the support string is at an angle
of 350 from the vertical. What is the speed of the suspended mass at the bottom of the swing?
(ignore air resistance)
A 0.67 m/v B 0.94 m/s C 1.33 m/s D 1.88 m/s E 2.45 m/s
L

1
35 deg
1  2   
m v m g L (1
2
cos (  ) )
2 g  L ( 1
v
cos (  ) )
v  1.883
7. A simple pendulum, 2 m in length, is released with a push when the support string is at an
angle of 250 from the vertical If the initial speed of the suspended mass is 1.2 m/s when at the
release point, what is its speed at the bottom of the swing?
A 2.3 m/s B 2.6 m/s C 2.0 m/s D 1.8 m/s E 0.5 m/s
L
v
2

25 deg v o
2 g  L ( 1
cos (  ) )
1  2   
m v m g L (1
2
1.2
vo
2
cos (  ) )
1  2
mvo
2
v  2.261
8. Adisa pulls a 40 N crate up a 5 m long inclined plane at a constant velocity. If the plane is
inclined at an angle of 370 to the horizontal and there is a constant force of friction of 10 N
between the crate and surface, what is the net change in potential energy of the crate?
A 120 J B -120 J C 200 J D -200 J E 140 J
w
40 L
5 
37 deg
fr
10 h
L sin(  )
PE
w h
PE  120.363
9. A Hooke's law spring is compressed a distance d and used to launch a mass m vertically to a
height h above its starting position Under the same compression d, the spring is now used to
launch a mass of 2m. How high does this second mass rise?
A h
B h/2 C h/1.41 D h/4 E h/8
1  2  
kx mg h
2
1  2
h
k x ( 2 m)  g 
2
2
10. A force of 100 N is applied to a 50 kg mass in the direction of motion for a distance of 6 m
and then the force is increased to 150 N for the next 4 m. For the 10 m travel, how much work is
done by the varying force?
A 1200 J B 1500 J C 2400 J D -1500 J E -2400 J
F1
100 m
50 d1
6
F2
150 d2
4
W
F1 d1
F2 d2 W  1.2 10
3
11. A ventilation fan has blades 0.25 m in radius rotating at 20 rpm. What is the tangential speed
of each glade tip?
A 0.02 m/s B 0.52 m/s C 5.0 m/s D 20 m/s E 23 m/s
20  2  
0.25 
r
v
 r
v  0.524
60
10A
.forceof100N
isappliedtoa50kgm
assinthedirectionofm
otionforadistanceof6m
andthenteforceis
increasedto150N
forthenext4m
.Forthe10m
travel,how
m
uchw
orkisdonebythevaryingforce?
A
1200J
B
1500J
C
2400J
D-1500J
E-2400J
12. Calculate the linear speed due to the Earth's rotation for a person at a point on its surface
located at 400N latitude. The radius of the Earth is 6.4 .106 m.
A 299 m/s B 357 m/s C 390 m/s D 465 m/s E 423 m/s
6.4 10
6
R

40 deg
r
R cos (  )
v
2 r
24  60  60
v  356.533
13. A 0.4 kg mass, attached to the end of a 0.75 m string, is whirled around in a circular
horizontal path. If the maximum tension that the string can withstand is 450 N, then what
maximum speed can the mass have if the string is not to break?
A 370 m/s B 22 m/s C 19 m/s D 29 m/s E 0.42 m/s
m
0.40
L
0.75
T max
450
2
m v
T
L
T max L
v max
m
v max  29.047
14. A 1500 kg car rounds an unbanked curve with a radius of 52 m at a speed of 12 m/s. What
minimum coefficient of friction must exist between the road and tires to prevent the car from
slipping?
A 0.18 B 0.30 C 0.28 D 0.37 E 0.42
v
M
1500
R
52
v
12
fr max
M v
2
R
 smin
2
R
g
 smin  0.283
15. A 75 kg swimmer dives horizontally off a 500 kg raft. If the diver's speed immediately after
leaving the raft is 4 m/s, what is the corresponding raft speed?
A 0.2 m/s B 0.5 m/s C 0.6 m/s D 4.0 m/s E 5.0 m/s
m
75
M
500
v
4
V
m
M
v
m
4  0.6
V  0.6
M
16. The kinetic energy of an object is quadrupled. Its momentum will change by what factor?
A zero B two C eight D four E None of the above
1
2 1   2
4  m v
m (2 v)
2
2
17. A 5 kg object is moving to the right at 4 m/s and collides with another object moving to the
left at 5 m/s. The objects collide and stick together. After the collision the combined object
A is moving to the right B is moving to the left C is at rest D has less kinetic energy than
the system had before the collision
E has the same kinetic energy that the system had before the collision
1C 2A 3C 4D 5E 6D 7A 8A 9B 10A 11B 12B 13D 14C 15C 16B 17D
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