Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 5.7, Problem 5.8CE
Imagine weighing the same bunch of bananas with two different spring scales like the one in Figure 5.14A. Scale 1 has a spring with spring constant k1. When the bananas are hung from scale 1, the spring stretches Δy1, from its relaxed position. Therefore, the apparent weight of the bananas is
wapp = k1 Δy1
Scale 2 has a stiffer spring; its spring constant is k2 = 3k1. If the same bunch of bananas is hung from scale 2, what is the displacement of its spring Δy2 in terms of Δy1?
FIGURE 5.14 Spring scales are used to measure the apparent weight of an object. A. An object may hang from the spring. B. A pan scale employs a main spring (cutaway) connected to a system of levers (not shown).
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An ideal spring hangs vertically. When a 453 g object is hung from the bottom end, and lowered gently, the spring stretches 5.58 cm. How much would be the spring have stretched, in cm, if the mass of the object had been 560 g instead?
x'=?
Fs = kx
6000 N= 400 N/m
x = 15 cm
6.In a spring experiment the results were as follows:
Force (N)
1
4
5
7
Length (mm)
50
58
70
74
82
90
102
125
Extension (mm)
8
20
24
32
40
52
75
a.
What is the length of the spring when unstretched?
b.
Complete the 'Extension' row of the table
C.
Plot a graph of extension against force. Circle the anomalous point.
d.
Mark the limit of proportionality on your graph (elastic limit).
е.
What load would give an extension of 30mm?
f.
What would be the spring length for a load of 4.5N?
g.
Extension: Determine a value for the spring constant in this example.
DELL
Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 30 cm when the weight is 2
kg, what is the distance when the weight is 5 kg?
The distance is
cm.
(Type an integer or decimal rounded to three decimal places as needed.)
Enter your answer in the answer box.
IVITDTERM. CHAPTERS T
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Chapter 5 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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Ch. 5.9 - A child jumping off the monkey bars at a...Ch. 5.9 - Prob. 5.12CECh. 5 - Why is it easier to lift a very large beach ball...Ch. 5 - Prob. 2PQCh. 5 - Imagine pushing two blocks on ice. The light block...Ch. 5 - When Julia Child would cook an omelet, she would...Ch. 5 - Prob. 5PQCh. 5 - Prob. 6PQCh. 5 - Prob. 7PQCh. 5 - Prob. 8PQCh. 5 - Prob. 9PQCh. 5 - Prob. 10PQCh. 5 - Prob. 11PQCh. 5 - You blow a small piece of paper through the air....Ch. 5 - Prob. 13PQCh. 5 - Prob. 14PQCh. 5 - Prob. 15PQCh. 5 - Prob. 16PQCh. 5 - Prob. 17PQCh. 5 - A ball hanging from a light string or rod can be...Ch. 5 - Prob. 19PQCh. 5 - You are riding a luxury bus. In front of you is a...Ch. 5 - Prob. 21PQCh. 5 - A particle with mass m = 4.00 kg accelerates...Ch. 5 - The x and y coordinates of a 4.00-kg particle...Ch. 5 - In the movie Garden State, one of the characters...Ch. 5 - The starship Enterprise has its tractor beam...Ch. 5 - A race car is moving around a circular track at a...Ch. 5 - A particle of mass m1 accelerates at 4.25 m/s2...Ch. 5 - Prob. 28PQCh. 5 - Two forces F1=(62.98i15.80j) N and...Ch. 5 - Three forces F1=(62.98i15.80j) N,...Ch. 5 - A hockey stick pushes a 0.160-kg puck with...Ch. 5 - If the vector components of the position of a...Ch. 5 - If the vector components of the position of a...Ch. 5 - A 15.0-kg object is in free fall near the surface...Ch. 5 - A black widow spider hangs motionless from a web...Ch. 5 - Determine whether each of the following statements...Ch. 5 - You place tomatoes in the pan of a hanging spring...Ch. 5 - Kinetic friction is proportional to the normal...Ch. 5 - A student takes the elevator up to the fourth...Ch. 5 - A sleigh is being pulled horizontally by a train...Ch. 5 - Two blocks are connected by a rope that passes...Ch. 5 - Find an expression for the carts acceleration in...Ch. 5 - A woman uses a rope to pull a block of mass m...Ch. 5 - A student working on a school project modeled a...Ch. 5 - One great form of athletic competition for...Ch. 5 - A heavy crate of mass 50.0 kg is pulled at...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - To get in shape, you head to the local gym to...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - FIGURE P5.49 Problems 49 and 50. Suppose the...Ch. 5 - Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are...Ch. 5 - A runaway piano starts from rest and slides down a...Ch. 5 - Does the ground need to exert a force on you for...Ch. 5 - A boxer breaks his hand by punching another boxers...Ch. 5 - Prob. 55PQCh. 5 - A textbook rests on a movable wooden plank that is...Ch. 5 - Prob. 57PQCh. 5 - Prob. 58PQCh. 5 - Prob. 59PQCh. 5 - A worker is attempting to lift a 55.0-kg palette...Ch. 5 - Prob. 61PQCh. 5 - A concept map is a visual representation of...Ch. 5 - A 75.0-g arrow, fired at a speed of 110 m/s to the...Ch. 5 - Prob. 64PQCh. 5 - A box with mass m1 = 6.00 kg sliding on a rough...Ch. 5 - Prob. 66PQCh. 5 - A cosmic ray muon with mass m = 1.88 1028 kg...Ch. 5 - Prob. 68PQCh. 5 - Prob. 69PQCh. 5 - A 1.50-kg particle initially at rest and at the...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - Prob. 73PQCh. 5 - Starting from rest, a rectangular toy block with...Ch. 5 - When a 1.50-kg dress hangs midway from a taut...Ch. 5 - Jamal and Dayo are lifting a large chest, weighing...Ch. 5 - A heavy chandelier with mass 125 kg is hung by...Ch. 5 - Two children, Raffi and John, sitting on sleds...Ch. 5 - Two boxes with masses m1 = 4.00 kg and m2 = 10.0...Ch. 5 - Two blocks of mass m1 = 1.50 kg and m2 = 5.00 kg...Ch. 5 - An aerial demonstration aircraft dives at an angle...Ch. 5 - A painter sits on a scaffold that is connected to...Ch. 5 - Three crates with masses m1 = 5.45 kg, m2 = 7.88...Ch. 5 - A small block with mass m is set on the top of an...
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