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Chap5
1. Test Bank, Question 9
The term "mass" refers to the same physical concept as:
weight
inertia
force
acceleration
volume
2. Test Bank, Question 17
Acceleration is always in the direction:
of the displacement
of the initial velocity
of the final velocity
of the net force
opposite to the frictional force
3. Reading Question 5.1
Can an internal force accelerate a body?
no
yes
4. Test Bank, Question 6
The unit of force called the newton is:
9.8 kg
1 kg
m/s2
m/s2
defined by means of Newton's third law
1 kg of mass
1 kg of force
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5. Chapter 5, Concept Question 4
At time t = 0, constant force
begins to act on a rock moving through deep space in the +x direction.
Three possible functions of its motion are:
(1) x = 4t – 3
(2) x = –4t2 + 6t – 3
(3) x = 4t2 + 6t – 3
(a) For time t > 0, which are possible functions x(t) for the rock’s position?
(1) x = 4t – 3
(2) x = –4t2 + 6t – 3
(3) x = 4t2 + 6t – 3
(b) For which function is
directed opposite the rock’s initial direction of motion?
(1) x = 4t – 3
(2) x = –4t2 + 6t – 3
(3) x = 4t2 + 6t – 3
6. Test Bank, Question 49
The "reaction" force does not cancel the "action" force because:
the action force is greater than the reaction force
they are on different bodies
they are in the same direction
the reaction force exists only after the action force is removed
the reaction force is greater than the action force
7. Chapter 5, Concept Question 12
Figure 5-28 shows four choices for the direction of a force of magnitude F to be applied to a block on an inclined plane.
The directions are either horizontal or vertical. (For choices a and b, the force is not enough to lift the block off the
plane.) Rank the choices according to the magnitude of the normal force on the block from the plane, greatest first.
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c>a>b>a
a>b>c>d
d>c>b>a
d>c>a>b
8. *Chapter 5, Problem 9
A 0.31 kg particle moves in an xy plane according to x(t) = - 16 + 3 t - 2 t3 and y(t) = 20 + 7 t - 5 t2, with x and y in
meters and t in seconds. At t = 1.6 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval
relative to the positive direction of the x axis) of the net force on the particle, and (c) what is the angle of the particle's
direction of travel?
(a) Number
6.710909327356
(b) Number
-152.487997376149
Units N
(c) Number
-144
Units ° (degrees)
Units ° (degrees)
9. *Chapter 5, Problem 12
Two horizontal forces
and
system is laid out. Force
act on a 3.6 kg disk that slides over frictionless ice, on which an xy coordinate
is in the positive x direction and has a magnitude of 6.8 N. Force
has a magnitude of
9.9 N. The figure here gives the x component vx of the velocity of the disk as a function of time t during the sliding.
What is the angle between the constant directions of forces
Number
66.168992110486
and
?
Unit degrees
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Significant digits are disabled; the tolerance is +/-5%
10. *Chapter 5, Problem 37
A 37 kg girl and a 5.1 kg sled are on the frictionless ice of a frozen lake, 16 m apart but connected by a rope of
negligible mass. The girl exerts a horizontal 6.3 N force on the rope. What are the acceleration magnitudes of (a) the
sled and (b) the girl? (c) How far from the girl's initial position do they meet?
(a) Number
1.235294117647
Units m/s^2
(b) Number
0.170270270270
Units m/s^2
(c) Number
1.938242280285
Units m
11. *Chapter 5, Problem 43
In Fig. 5-43, a chain consisting of five links, each of mass 0.102 kg, is lifted vertically with a constant acceleration of
magnitude a = 2.60 m/s2. Find the magnitudes of (a) the force on link 1 from link 2, (b) the force on link 2 from link 3,
(c) the force on link 3 from link 4, and (d) the force on link 4 from link 5. Then find the magnitudes of (e) the force
on the top link from the person lifting the chain and (f) the net force accelerating each link.
Fig. 5-43
Problem 43.
(a) Number
1.2648
Units N
(b) Number
2.5296
Units N
(c) Number
3.7944
Units N
(d) Number
5.0592
Units N
(e) Number
6.324
(f) Number
0.2652
Units N
Units N
12. *Chapter 5, Problem 50
In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction
on its axle and negligible mass. The masses are mA = 27 kg, mB = 41 kg, and mC = 12 kg. When the assembly is
released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first
0.200 s (assuming it does not reach the pulley)?
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(a) Number
39.684
Unit N
(b) Number
0.12986
Unit m
13. *Chapter 5, Problem 55
Two blocks are in contact on a frictionless table. A horizontal force is applied to the larger block, as shown in Fig. 5-50.
(a) If m1 = 2.9 kg, m2 = 1.1 kg, and F = 2.9 N, find the magnitude of the force between the two blocks. (b) Assume
instead that a force of the same magnitude F is applied to the smaller block but in the opposite direction, and calculate
the magnitude of the force between the blocks. (Why is the value calculated in (b) not the same as that calculated in
(a)?)
Fig. 5-50
Problem 55.
(a) Number
0.7975
Units N
(b) Number
2.1025
Units N
14. *Chapter 5, Problem 58
Figure 5-53 shows a man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless,
frictionless pulley and back down to the man's hand. The combined mass of man and chair is 62.7 kg. With what force
magnitude must the man pull on the rope if he is to rise (a) with a constant velocity and (b) with an upward acceleration
of 1.17 m/s2? (Hint: A free-body diagram can really help.) Problem continues below.
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Fig. 5-53
Problem 58.
If the rope on the right extends to the ground and is pulled by a co-worker, with what force magnitude must the coworker pull for the man to rise (c) with a constant velocity and (d) with an upward acceleration of 1.17 m/s2? What is
the magnitude of the force on the ceiling from the pulley system in (e) part a (f) part b, (g) part c, and (h) part d?
(a) Number
307.23
(b) Number
343.9095
Units N
(c) Number
614.46
(d) Number
687.819
(e) Number
614.46
(f) Number
687.819
Units N
(g) Number
1228.92
Units N
(h) Number
1375.638
Units N
Units N
Units N
Units N
Units N
15. *Chapter 5, Problem 87
An object is hung from a spring balance attached to the ceiling of an elevator cab. The balance reads 67 N when the cab
is standing still. What is the reading when the cab is moving upward (a) with a constant speed of 7.6 m/s and (b) with
a speed of 7.6 m/s while decelerating at a rate of 2.3 m/s2?
(a) Number
67
Units N
(b) Number
51.275510204082
Units N
16. *Chapter 5, Problem 64
Figure 5-56 shows a box of mass m2 = 1.1 kg on a frictionless plane inclined at angle θ = 30°. It is connected by a cord
of negligible mass to a box of mass m1 = 2.8 kg on a horizontal frictionless surface. The pulley is frictionless and
massless. (a) If the magnitude of the horizontal force
is the largest value the magnitude of
is 3.3 N, what is the tension in the connecting cord? (b) What
may have without the connecting cord becoming slack?
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Fig. 5-56
Problem 64.
(a) Number
2.938974358974
(b) Number
13.720000000000
Units N
Units N
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