Page 104 Practice Problem 4.4: If passenger comfort requires that the acceleration should be no greater in magnitude than 0.10g, what distance is required to stop the car if its speed is initially 30m/s (roughly 60mi/h)? What force is required? Answers: 459m, 1960 N.

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Page 104 Practice Problem 4.4: If passenger comfort requires that the acceleration should be
no greater in magnitude than 0.10g, what distance is required to stop the car if its speed is
initially 30m/s (roughly 60mi/h)? What force is required? Answers: 459m, 1960 N.
Transcribed Image Text:Page 104 Practice Problem 4.4: If passenger comfort requires that the acceleration should be no greater in magnitude than 0.10g, what distance is required to stop the car if its speed is initially 30m/s (roughly 60mi/h)? What force is required? Answers: 459m, 1960 N.
EXAMPLE 4.4 Quick stop of a heavy car
In this example we consider a problem in which the weight of an object is given directly, but not its mass.
To use Newton's second law, we will, of course, first have to determine the object's mass. A big luxury car
weighing 1.96 X 104 N (about 4400 lb), traveling in the +x direction, makes a fast stop; the x component
of the net force acting on it is -1.50 X 104 N. What is its acceleration?
OXO
SOLUTION
SET UP Figure 4.19 shows our diagram. We draw the weight as a force
with magnitude w. Because the car does not accelerate in the y direc-
tion, the road exerts an upward normal force of equal magnitude on the
car; for completeness, we include that force in our diagram.
SOLVE To find the acceleration, we'll use Newton's second law,
EF= max. First, however, we need to find the car's mass. Since
we know the car's weight, we can find its mass m from Equation 4.9,
w = mg. We obtain
m =
Mary
Then, EF, = ma, gives
ax=
W
DAD
8
Fx
1.96 × 104 N
9.80 m/s²
m
-1.50 × 104 N
2000 kg
=
= -7.5 m/s².
Video Tutor Demo
.
1.96 x 104 kg m/s²
9.80 m/s²
= 2000 kg.20.
-1.50 × 104 kg m/s²
2000 kg
ā
F = -1.50 x 104 N
Video Tutor Solution
n = 1.96 x 104 N
eno morì 2917 155 do 10 1
A FIGURE 4.19 Our diagram for this problem.
W 1.96 x 10+ N
REFLECT This acceleration can be written as -0.77g. Note that
-0.77 is also the ratio of -1.50 X 104 N to 1.96 x 104 N. An accel-
eration of this magnitude is possible only on a dry paved road. Don't
expect it on a wet or icy road!
Practice Problem: If passenger comfort requires that the acceleration
should be no greater in magnitude than 0.10 g, what distance is required
to stop the car if its speed is initially 30 m/s (roughly 60 mi/h)? What
force is required? Answers: 459 m, 1960 N.
Usually, the easiest way to measure the mass of an object is to measure its weight, often
by comparison with a standard weight. In accordance with Equation 4.10, two objects that
have the same weight at a particular location also have the same mass. We can compare
weights very precisely: The familia
Transcribed Image Text:EXAMPLE 4.4 Quick stop of a heavy car In this example we consider a problem in which the weight of an object is given directly, but not its mass. To use Newton's second law, we will, of course, first have to determine the object's mass. A big luxury car weighing 1.96 X 104 N (about 4400 lb), traveling in the +x direction, makes a fast stop; the x component of the net force acting on it is -1.50 X 104 N. What is its acceleration? OXO SOLUTION SET UP Figure 4.19 shows our diagram. We draw the weight as a force with magnitude w. Because the car does not accelerate in the y direc- tion, the road exerts an upward normal force of equal magnitude on the car; for completeness, we include that force in our diagram. SOLVE To find the acceleration, we'll use Newton's second law, EF= max. First, however, we need to find the car's mass. Since we know the car's weight, we can find its mass m from Equation 4.9, w = mg. We obtain m = Mary Then, EF, = ma, gives ax= W DAD 8 Fx 1.96 × 104 N 9.80 m/s² m -1.50 × 104 N 2000 kg = = -7.5 m/s². Video Tutor Demo . 1.96 x 104 kg m/s² 9.80 m/s² = 2000 kg.20. -1.50 × 104 kg m/s² 2000 kg ā F = -1.50 x 104 N Video Tutor Solution n = 1.96 x 104 N eno morì 2917 155 do 10 1 A FIGURE 4.19 Our diagram for this problem. W 1.96 x 10+ N REFLECT This acceleration can be written as -0.77g. Note that -0.77 is also the ratio of -1.50 X 104 N to 1.96 x 104 N. An accel- eration of this magnitude is possible only on a dry paved road. Don't expect it on a wet or icy road! Practice Problem: If passenger comfort requires that the acceleration should be no greater in magnitude than 0.10 g, what distance is required to stop the car if its speed is initially 30 m/s (roughly 60 mi/h)? What force is required? Answers: 459 m, 1960 N. Usually, the easiest way to measure the mass of an object is to measure its weight, often by comparison with a standard weight. In accordance with Equation 4.10, two objects that have the same weight at a particular location also have the same mass. We can compare weights very precisely: The familia
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