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Unformatted text preview: A boy is standing at the stern (back) of a boat that is 8.0 m long. There is
no friction between the boat and the water. The boy has a. mass of 63 kg
and the boat has a mass of 780 kg. The bow (front) of the boat is touching
a dock and the foreand—aft axis of the boat is perpendicular to the clock.
The boy walks from the stern of the boat to the bow. When he reaches the how, his distance from the dock is: " 7.7 m
0.3 m
0.6 m
8.0 m
1.3 m A body of mass m is whiled at a constant angular velocity on the end of
a string of length R. To double the kinetic energy of the body as it whirls
while maintaining the angular velocity, the length of the string must be
changed to "' 23
Pu/i
R/2 4R
R/x/i For this question, assume that all velocities are horizontal and that there is
no friction. Two skaters A and B are on an ice surface. A and B have the
same mass M = 90.5 kg. A throws a ball with mass m = 200 g toward B
with a speed I) = 21.5 m/s relative to the ice. B catches the ball and throws
it back to A with the same speed. After A catches the ball, his speed with respect to the ice is‘ ,3 A __., B T?
“‘ 4.3 x 103 m/s
4.3 m/s
4.8 x 10‘2 m/s
9.5 x 10'2 m/s 0.34 m/s A mass m1: 2.5 kg is connected to another mass m2 = 4.0 kg by a com
pressed spring. Both masses are at rest on a frictionless surface. When the
spring is released, the masses are pushed apart and a total energy of 16.8 J
is given to the two masses. The speed _o°f mass 1r; 1 is 3.2 m/s
2.9 m/s
1.8 m/s
8.3 m/s
5.4 m/s A projectile is ﬁred at a speed of 400 m/s at an angle of 60° above the
horizontal. At the highest point of its trajectory, the projectile is broken
into two equal pieces by an internal explosion. Just after the explosion, one
of the two pieces is known to be traveh'ng vertically downward at a speed of
300 m/s. The magnitude of the velocity of the other half of the projectile
is 500 m/s
1.50 km/s
400 m/s
710 m/s .
123 m/s A TOGOkg coal car of a train coasts at 7.0 m/s on a frictionless track when
a 3000kg load of coal is dropped vertically onto the car. The coal car’s
speed after the coal is added is 2.1 m/s
3.0 m/s
4.9 m/s
7.0 m/s
16 m/s \ A pitcher throws a baseball with a velocity of 27 m/s. After being struck
by a bat the ball travels in the opposite direction with a velocity of 40 m/s.
If the ball has a mass of 0.11 kg and is in contact with the bat for 3.0 ms,
the average force exerted by the hat on the ball is 0.99 kN
4.8 kN
1.5 kN
7.4 kN
2.5 kN 8. 10. 11. A 20g bullet is ﬁred into a 2.0—kg block of wood placed on a horizontal surface. The bullet stops in the block. The impact moves the block (+
bullet) a distance of 5 m before it comes to rest. If the coefﬁcient of kinetic friction between the block and surface is 0.25, calculate the speed of the 
block (+ bullet) system immediately after impact. 20 m/s
3.5 m/s
25 m/s
5.0 m/s
2.2 m/s A 5kg blob of putty is dropped from a height of 10.0 m above the ground
onto a light vertical spring the top of which is 5 III. above the ground. If the
spring constant k = 200 N / m and the blob compresses the spring by 1.50
In, then ﬁnd the amount of energy lost in sound and thermal energy. 20.0 J
169 J
266 J
438 J
94.0 J A bicycle wheel, a hollow sphere, and a solid sphere each have the same
mass and radius. They each rotate about an axis through their centers.
Which has the greatest moment of inertia and which has the least? The wheel has the greatest; the solid sphere has the least. The wheel has the greatest; the hollow sphere has the least. The hollow sphere has the greatest; the solid sphere has the least.
The hollow sphere has the greatest; the wheel has the least. The solid sphere has the greatest; the hollow sphere has the least. The preﬁx ” nano” means 10“12 105 10—3 10‘2 None of these is correct 12. 13. 14. 15. To convert a quantity from km/ h to m/s, you must multiply by 1000 and divide by 60.
multiply by 1000 and divide by 3600.
multiply by 60 and divide by 1000.
multiply by 3600 and divide by 1000.
None of these is correct.
A wheel (radius 2 0.20 In) starts from rest and rotates with a constant
angular acceleration of 2.0 rad/52. At the instant when the angular velocity
is equal to 1.2 rad/s, what is the magnitude of the total linear acceleration
of a point on the rim of the wheel? 0.40 m/s2
0.29 m/s2
0.69 III/32
0.49 m/si'
0.35 m/s2 A river 1.00 mile Wide ﬂows with a constant speed of 1.00 mi/h. A woman
leaves from a point on the river bank. The woman rows a boat 1.00 mi
directly upstream and returns to the starting point. Her speed in still
water is 2.00 mi/ h. The travel time for the woman is I n i r P fl
2.00 h
1.15 h
1.00 h
1.33 h
0.67h A car accelerates uniformly from rest to a speed of 20 m/s at the end of 1
min; it then accelerates uniformly to a speed of 40 m/s at the end of the
next minute. During this 2min period. the average speed of the car is 7.5 m/s
30 m/s
15 111/5
20 m/s
40 m/s ._ A) (\[A 16. A 3‘kg block sits on an incline where the top half of the incline has a
coeﬂicient of kinetic friction of 0.5 and the bottom half is frictionless (see
Fig. A below). The angle of inclination is 35 degrees. If the block is released
and travels 10 m along the rough part of the incline and then 10 111 along
the smooth part before it makes contact with the spring (1: = 200 N/m),
calculate the distance the spring is compressed. 1.47 m
1.56 In
2.16 m
2.43 H1
1.39 In 17. A balloon is ascending at a rate of 4.9 m/s at a height of 9.8 In above the
ground when a padmge is dropped. The time taken, in the absence of air
resistance, for the package to reach the ground is 2 1.0 s
1.5 s
2.0 s
2.5 s
3.0 s 18. The vector in Figure B below that could represent the vector A“ — B is ”‘1 ”hi “i Mi H1 19. What angle does the vector 71+ = 33 — 43 + 51% make with the positive 2
axis?
555°
450°
64.9D
34.5"
25.10 16. A 3‘kg block sits on an incline where the top half of the incline has a
coeﬂicient of kinetic friction of 0.5 and the bottom half is frictionless (see
Fig. A below). The angle of inclination is 35 degrees. If the block is released
and travels 10 m along the rough part of the incline and then 10 111 along
the smooth part before it makes contact with the spring (1: = 200 N/m),
calculate the distance the spring is compressed. 1.47 m
1.56 In
2.16 m
2.43 H1
1.39 In 17. A balloon is ascending at a rate of 4.9 m/s at a height of 9.8 In above the
ground when a padmge is dropped. The time taken, in the absence of air
resistance, for the package to reach the ground is 2 1.0 s
1.5 s
2.0 s
2.5 s
3.0 s 18. The vector in Figure B below that could represent the vector A“ — B is 0‘1 ”hi ml Ml H1 19. What angle does the vector 71+ = 33 — 43 + 51% make with the positive 2
axis?
555°
450°
64.9D
34.5"
25.10 20. 21. 22. 23. A train, starting from rest, accelerates along the platform at a uniform rate
of 0.6 m/sg. A passenger standing on the platform is 5 m away from the
door when the train starts to pull away and heads toward the door at an
acceleration of 1.2 m/sg. How long does it take the passenger to reach the
door? ‘ m 3.0 s
17 s
7.1 s
5.6 s
4.1 s A rooﬁng tile slides down a roof and falls off the roof edge 10 In above the
ground at a speed of 6 m/s. The roof makes an angle of 30 degrees to the
horizontal. How far fmm the exit point on the roof does the tile land? 6.0 In
16.0 m
11.7 in
13.6 m
19.2 111
. “" X ‘ ‘ ’ ’ do
A turntable rotating at 8.0 rad/ s slews to a stop in 10 s. If the acceleration
is constant, the angle through which the turntable rotates in the 10 s is 0.80 rad
0.40 rad
40 red
80 rad
16 rad / A 44.5N weight is hung on a spring scale, and the scale is hung on a string
(Fig. C below). The string is lowered at a rate such that the entire assembly
has a downward acceleration of 4.90 m/sz. The scale reads 0 N
22.2 N
44.5 N 66.7 N
71.2 N ._'.—. 24. 25. 26. 27. Which of the following freabody diagrams (Fig. D below) represents the
block sliding down a frictionless inclined plane? 1 . GibCON You want to elope by sliding down a nylon rope made by tying stockings
together. The rope will withstand a maximum tension of 300 N without
breaking. Your mass is 61.2 kg. The magnitude of the smallest acceleration
a. with which you can slide down the rope is 9.8 Ill/$2
4.9 rn/s2
zero 2.4 [ll/$2
20 refs2 For this problem, (Fig. E below) assume no friction. A mass m2 = 3.5 kg
rests on a horizontal table and is attached by strings to masses m1 = 1.5
kg and m3 = 2.5 kg as shown. The masses m1 and 7713 hang freely. The
system is initially held at rest. After it is released, the acceleration of mass
m2 will be zero
1.3 III/52
5.2 m/s2
8.? rn/s2
9.8 m/s2 A tired worker pushes a heavy (IOUkg) crate that is resting on a thick pile carpet. The coefﬁcients of static and kinetic friction are 0.6 and 0.4,
respectively. The worker pushes with a force of 500 N. The frictional force
exerted by the surface is 1000 N
600 N
500 N
400 N
100 N 28. 29. 30. An object with a mass of m = 12.0 g is falling through a resistive ﬂuid in
which the gravitational acceleration is constant. The retarding frictional
force due to the ﬂuid is F = be, where F is the force in newtons, b is a
constant, and v the speed in meters per second. If F x 3.2 x 10‘2 N when
1: = 16.0 m/s, the terminal Speed of the object falling the ﬂuid is 0.12 m/s 59 m/s 0.19 km/s 16.0 m/s None of these is correct. Power P is required to lift a body a distance d at a constant speed 1;. What
power is required to lift the body a distance 2d at constant speed 31;? P 2P
3P
6P
3P/2 A child is sitting on the seat of a swing with ropes 10 m long. Her father
pulls the swing back until the ropes make a 37° angle with the vertical and
then releases the swing. If air resistance is neglected, what is the speed of
the child at the bottom of the arc of the swing when the ropes are vertical? 11 m/s
8.8 m/s
14 m/s
6.3 111/5
12 m/s Some possibly useful information: 9 = 9.80 m/s2
1 mile = 1.609 km _Fig. E...
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 Fall '08
 WENKSTERN
 Physics

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