Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 1, Problem 37PQ
(a)
To determine
Identify and correct the flaw for
(b)
To determine
Identify and correct the flaw for
(c)
To determine
Identify and correct the flaw for
(d)
To determine
Identify and correct the flaw for
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A 1.40-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v₁ = 3.50 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been
compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e).
d
m
v=0
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(a) Find the distance of compression d (in m).
m
(b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d).
m/s
(c) Find the distance D (in m) where the object comes to rest.
m
(d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to…
As shown in the figure, a 0.580 kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a
vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is VA = 13.0 m/s, and the object experiences an average frictional force of 7.00 N while sliding up the track.
R
(a) What is x?
m
A
(b) If the object were to reach the top of the track, what would be its speed (in m/s) at that point?
m/s
(c) Does the object actually reach the top of the track, or does it fall off before reaching the top?
O reaches the top of the track
O falls off before reaching the top
○ not enough information to tell
A block of mass 1.4 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest.
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x = 0
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(a) A constant friction force of 4.4 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum.
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(b) Explore the effect of an increased friction force of 13.0 N. At what position of the block does its maximum speed occur in this situation?
cm
Chapter 1 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 1.5 - To practice using the prefixes in Table 1.1,...Ch. 1.5 - Prob. 1.2CECh. 1.6 - In Einsteins famous equation E = mc2, m stands for...Ch. 1.6 - Prob. 1.4CECh. 1.6 - Prob. 1.5CECh. 1.7 - How many significant figures does each number...Ch. 1.7 - Prob. 1.7CECh. 1 - The average life expectancy in Japan is 81 years....Ch. 1 - If you live in the United States, you probably...Ch. 1 - Prob. 3PQ
Ch. 1 - How many cubic centimeters (cm3) are in one cubic...Ch. 1 - Prob. 5PQCh. 1 - Prob. 6PQCh. 1 - A certain pure 0.9999 gold bullion bar with a mass...Ch. 1 - In Jules Vernes novel, Twenty Thousand Leagues...Ch. 1 - The distance to the Sun is 93 miIlion miles. What...Ch. 1 - A popular unit of measure in the ancient world was...Ch. 1 - CASE STUDY On planet Betatron, mass is measured in...Ch. 1 - Use your weight in pounds to find your mass in...Ch. 1 - A garden snail named Archie, owned by Carl...Ch. 1 - As part of a biology field trip, you have taken an...Ch. 1 - Prob. 15PQCh. 1 - Prob. 16PQCh. 1 - The kilogram Standard is a circular cylinder whose...Ch. 1 - Acceleration a has the dimensions of length per...Ch. 1 - Prob. 19PQCh. 1 - Prob. 20PQCh. 1 - Prob. 21PQCh. 1 - Prob. 22PQCh. 1 - A Later in this book, you will study oscillating...Ch. 1 - Prob. 24PQCh. 1 - Prob. 25PQCh. 1 - Convert 13.7 billion yeans (the age of the...Ch. 1 - How many significant figures does 0.00130 m have?Ch. 1 - A distance with two significant figures divided by...Ch. 1 - Prob. 29PQCh. 1 - Prob. 30PQCh. 1 - Perform the following arithmetic operations,...Ch. 1 - Calculate the result for each of the following...Ch. 1 - Prob. 33PQCh. 1 - In a laboratory, a researcher fails to start a...Ch. 1 - Prob. 35PQCh. 1 - Prob. 36PQCh. 1 - Prob. 37PQCh. 1 - Prob. 39PQCh. 1 - Prob. 41PQCh. 1 - Prob. 43PQCh. 1 - Prob. 44PQCh. 1 - In 2011, artist Hans-Peter Feldmann covered the...Ch. 1 - Prob. 49PQCh. 1 - Convert the following distances into SI units....Ch. 1 - Prob. 51PQCh. 1 - Later in this book, you will learn that sound is a...Ch. 1 - Two decorative spheres are carved from the same...Ch. 1 - Prob. 54PQCh. 1 - Prob. 55PQCh. 1 - Prob. 56PQCh. 1 - During a visit to New York City, Lil decides to...Ch. 1 - Prob. 58PQCh. 1 - You are part of a team in an engineering class...Ch. 1 - Prob. 60PQCh. 1 - A unit of distance used in astronomy is the parsec...
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- You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. Total force (N) 2000 1500 1000 500 Distance (cm) 10 20 30 40 50 60 i Both springs are described by Hooke's law and have spring constants k₁ = 1,900 N/m and k₂ = 2,700 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in the figure. When the spring with spring constant k₂ compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical…arrow_forwardA spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.71 kg is placed on the incline at a distance d = 0.285 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = incline angle is 0 = 20.0°, the spring constant is k = 505 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? m k www m 0.750 m/s. Thearrow_forwardA block of mass m = 2.50 kg situated on an incline at an angle of k=100 N/m www Ө m = 50.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (Fig. P8.54). The pulley and incline are frictionless. The block is released from rest with the spring initially unstretched. (a) How far does it move down the frictionless incline before coming to rest? m (b) What is its acceleration at its lowest point? Magnitude m/s2 Direction O up the incline down the inclinearrow_forward
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