Q14.1
A mass is a+ached to a spring and is able to slide on a fric9onless
horizontal surface. When the mass is on the right side of the
equilibrium posi9on (x=0), what is the direc9on of the force?
A. In the +x direc9on when it is
moving to the right
Chapter 10 Solutions for End of Chapter Problems
10.1.
I DENTIFY : Use = Fl to calculate the magnitude of the torque and use the right-hand rule
illustrated in Section 10.1 in the textbook to calculate the torque direction.
(a) S ET U P : Consider Figure
Chapter 4 Solutions
4.2.
I DENTIFY : We know the magnitudes and directions of three vectors and want to use them to find
their components, and then to use the components to find the magnitude and direction of the resultant
vector.
S ET U P : Let F1 = 9
Chapter 8 Solutions for End of Chapter Problems
8.1.
I DENTIFY and S ET U P :
E XECUTE :
(b) (i) v =
p = mv. K = 12 mv2 .
(a) p = (10,000 kg)(12.0 m/s) = 1.20 105 kg m/s
p 1.20 105 kg m/s
=
= 60.0 m/s. (ii)
m
2000 kg
1 m v2
2 T T
2
= 12 mSUVvSUV
, so
mT
1
Chapter 2 Solutions
2.2.
I DENTIFY :
S ET U P :
x
t
13.5 days = 1 .166 106 s. At the release point, x = +5. 150 106 m.
vav-x =
x2 x1 5.150 106 m
=
= 4.42 m/s.
t
1.166 106 s
(b) For the round trip, x2 = x1 and x = 0. The average velocity is zero.
E XECU
Chapter 1 Solutions
I will be posting the solutions to the book Exercises and some of the Alternative
Exercises. The tutorial problems (unnumbered in MP) step you through and the
solution should be evident from the steps. Note that the values given in
Q13.6
Two massive objects are separated by a distance r0. If the
masses are brought to a new separa?on of r0/3 compare the
ini?al gravita?onal force, F0, to the new gravita?onal force.
A. F=9F0
B. F=3
C. F=F0
D. F=F0/3
E. F=F0/9
A13.6
Two m
Chapter 3 Solutions
3.2.
! !
I DENTIFY :
!
r.
S ET U P :
r r
!
Use v av = 2 1 in component form. The distance from the origin is the magnitude of
t2 t1
At time t1, x1 = y1 = 0.
E XECUTE: (a) x = (vav-x )t = (3.8 m/s)(12.0 s) = 45.6 m and
y = (vav-y )t
Chapter 7 Solutions for End of Chapter Problems
7.1.
U grav = mgy so U grav = mg ( y2 y1 )
I DENTIFY :
+ y is upward.
S ET U P :
E XECUTE :
(a) U = (75 kg)(9.80 m/s 2 )(2400 m 1500 m) = +6.6 105 J
(b) U = (75 kg)(9.80 m/s 2 )(1350 m 2400 m) = 7.7 105 J
E
Chapter 5 Solutions
5.6.
I DENTIFY : Apply Newtons first law to the wrecking ball. Each cable exerts a force on the ball,
directed along the cable.
S ET U P : The force diagram for the wrecking ball is sketched in Figure 5.6.
Figure 5.6
E XECUTE :
(a)
Chapter 6 Solutions for End of Chapter Problems
! !
A B = AB cos
!
!
!
!
!
!
S ET U P : For A and B, = 150.0. For B and C, = 145.0. For A and C, = 65.0.
! !
E XECUTE : (a) A B = (8.00 m)(15.0 m)cos150.0 = 104 m 2
! !
(b) B C = (15.0 m)(12.0 m)cos145.0 =
Chapter 9 Solutions for End of Chapter Problems
9.2.
IDENTIFY: 0 = t , since the angular velocity is constant.
SET UP: 1 rpm = (2 / 60) rad/s .
EXECUTE: (a) = (1900)(2 rad / 60 s) = 199 rad/s
(b) 35= (35
)( /180) = 0.611 rad . t =
EVALUATE:
In t =
0 0.61
Q15.3e
A wave on a string has an amplitude of 1.00 cm, a
wavelength of 5.00 cm and a frequency of 1.50 Hz. What is
the value of y when the speed of a point on the string is a
maximum?
y ( x, y) = A cos ( kx t )
A. 0
B. 0.50 cm
C. 1.0 cm
D. 2.0 cm
Exam 4 Review
Q1
A rock is [email protected] at rest with respect to earth
and located very far away. The rock is released
and accelerates toward earth. An [email protected]
tower is built three earth radii high to observe
the rock as it falls to earth. When the ro
Q9.1
A fan makes 30.0 revolu5ons in 5.00 seconds. What is the angular
velocity of the fan?.
A. 0.176 rad/s
B. 0.954 rad/s
C. 6.0 rad/s
D. 37.7 rad/s
A9.1
A fan makes 30.0 revolu5ons in 5.00 seconds. What is the angular
velocity of the fan?.
A. 0
Q6.1
An elevator is being li#ed at a constant
speed by a steel cable a7ached to an
electric motor. Which statement is
Cable
correct?
A. The cable does posi=ve work on the
elevator, and the elevator does posi=ve
work on the cable.
Motor
v
Elev
Q8.10
Two objects with dierent
masses collide with and s"ck to
each other. Compared to before
the collision, the system of two
objects a+er the collision has
A
B
A. the same amount of total momentum and the same total
kine=c energy.
B. the same
Q10.1
The four forces shown all have the F3
same magnitude: 1 F2= F3= F4=. F
Which force produces the greatest
torque about the pivot (marked by
F2
the blue dot)?
F1
F4
A. F1
B. 2F
C. 3F
D. F4
E. Not
enough
informaLon
is given to decide.
A10.1
The four fo
Q6.8
Two iceboats (one of mass m, one of
mass 2m) hold a race on a
fric6onless, horizontal, frozen lake.
Both iceboats start at rest, and the
wind exerts the same constant force
on both iceboats. Which iceboat
crosses the nish line with more kine6c
Q10.7
A yo-yo is placed on a horizontal
surface as shown. There is
sucient fric9on for the yo-yo to
roll without slipping. If the string is
pulled to the right as shown with a
force of constant magnitude F,
A. the yo-yo rolls to the right.
B. the
Exam 3 Review
Q1a
Two masses, m1=10.0 kg and m2=20.0 kg,
are a;ached by a light rope that goes over
a pulley (disk) of mass mp=2.00 kg and
radius 20.0 cm. The masses are released
from rest. Select the correct 2nd Law
equaJon for m1.
A. Fy = T1 T2
Q7.4
A 0.50 kg rock rests on the edge of a 30. m high cli.
What is its gravita=onal P.E. rela=ve to the ground
below?
A.
B.
C.
D.
0
15 J
147 J
294 J
A7.4
A 0.50 kg rock rests on the edge of a 30. m high cli.
What is its gravita=onal P.E. rela=ve
Exam 2 Review Ques/ons
Q Work REVIEW (a)
A worker pulls on a 30.0 kg crate a with a rope that makes an angle
of 300 above the horizontal. There is fric/on between the oor and
crate with k=0.25. With what force should he pull on the rope to
move the c
Q9.4
A DVD is ini,ally at rest. It then begins to rotate counterclockwise
with constant angular accelera,on 1. A=er the DVD has rotated
through an angle , its angular speed is 1. If instead the DVD is
ini,ally at rest and its constant angular accelera
Q7.1
A piece of fruit falls straight down. As it falls, the
A. gravita7onal force does posi7ve work on it and the
gravita7onal poten7al energy increases.
B. gravita7onal force does posi7ve work on it and the
gravita7onal poten7al energy decreases.
Q2.11
Throw a ball straight up with a speed of 20.0 m/s. What is the
speed of the ball at the highest point?
A.
B.
C.
D.
-20 m/s
0
20.0 m/s
Not enough informaCon
A2.11
The example in class states: Throw a ball straight up with a
speed of 20.0 m/s
Chapter 4
Newtons Laws of Mo3on
Q4.1
A force acts on a mass, m1, causing accelera3on a1. If the same
force were to act on a larger mass, m2, compare the accelera3on
of a1 and a2.
A. a1 > a2
B. a1 = a2
C. a1 < a2
D. Not enough informa3on.
Newtons
Q5.9
A car engine is suspended from a chain linked at O to two
other chains. Which of the following forces should be
included in the free-body diagram for the engine?
A. tension T1
B. tension T2
C. tension T3
D. two of the above
E. T1, T2, and T3
Q3.4
An object is launched with an ini6al speed of v at an angle of
from the ground. What angle will result in the maximum
distance traveled?
A.
B.
C.
D.
E.
0 degrees
30 degrees
45 degrees
60 degrees
90 degrees
Lets work it out.
Q3.5
You drop a
Q4.9
You are standing at rest and begin to walk forward. What
force pushes you forward?
A. the force of your feet on the ground
B. the force of your accelera<on
C. the force of your velocity
D. the force of your momentum
E. the force of the ground