Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 27P
When different loads hang on a spring, the spring stretches to different lengths as shown in the following table. (a) Make a graph of the applied force versus the extension of the spring. (b) By least-squares fitting, determine the straight line that best fits the data. (c) To complete part (b), do you want to use all the data points, or should you ignore some of them? Explain. (d) From the slope of the best-fit line, find the spring constant k. (c) If the spring is extended to 105 mm, what force does it exert on the suspended object?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
We will now determine how the 1/3 rule comes about.
Consider a spring of mass ms which is attached to a wall and oscillates on a frictionless surface as shown below. The spring’s mass is uniformly distributed along the length of the spring.
We will start with the infinitesimal form of kinetic energy, i.e. dKE = ½ (dms )v2. This formula will apply to an infinitesimal segment of the spring of length dx and mass dms as indicated below.
For any point on the spring, the velocity of oscillation will be given by v = (ve/L)x where ve is the velocity of the spring at its end where the mass m is attached, and L is the stretched length of the spring at that instant. Thus, when x = 0 then v = 0, and when x = L/2 then v = ½ ve.
Hint: Figure out how to relate dms to dx and then integrate both sides of the infinitesimal kinetic energy equation to get an equation for the kinetic energy of the spring that includes ms/3.
Needs Complete typed solution with 100 % accuracy.
Jum
The mass of the block depicted in the image is 2.94 kg. The spring has a spring
constant of 77.2 N/m. The coefficient of static friction between the block and the
floor is 0.735. Assume that the spring makes no contact with the floor and
therefore friction only acts on the block.
How far must the block and spring assembly be compressed to just barely
overcome the force of static friction acting on the block?
Report your result in meters.
Chapter 7 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 7.2 - Prob. 7.1QQCh. 7.2 - shows four situations in which a force is applied...Ch. 7.3 - Which of the following statements is true about...Ch. 7.4 - A dart is inserted into a spring-loaded dart gun...Ch. 7.5 - A dart is inserted into a spring-loaded dart gun...Ch. 7.6 - Choose the correct answer. The gravitational...Ch. 7.6 - A ball is connected to a light spring suspended...Ch. 7.8 - What does the slope of a graph of U(x) versus x...Ch. 7 - Prob. 1OQCh. 7 - If the net work done by external forces on a...
Ch. 7 - Prob. 3OQCh. 7 - A cart is set rolling across a level table, at the...Ch. 7 - Let N represent the direction horizontally north,...Ch. 7 - Prob. 6OQCh. 7 - Prob. 7OQCh. 7 - As a simple pendulum swings back and forth, the...Ch. 7 - Bullet 2 has twice the mass of bullet 1. Both are...Ch. 7 - Prob. 10OQCh. 7 - If the speed of a particle is doubled, what...Ch. 7 - Prob. 12OQCh. 7 - Prob. 13OQCh. 7 - A certain spring that obeys Hookes law is...Ch. 7 - A cart is set rolling across a level table, at the...Ch. 7 - Prob. 16OQCh. 7 - Can a normal force do work? If not, why not? If...Ch. 7 - Object 1 pushes on object 2 as the objects move...Ch. 7 - Prob. 3CQCh. 7 - (a) For what values of the angle u between two...Ch. 7 - Prob. 5CQCh. 7 - Discuss the work done by a pitcher throwing a...Ch. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - Prob. 10CQCh. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Cite two examples in which a force is exerted on...Ch. 7 - A shopper in a supermarket pushes a cart with a...Ch. 7 - Prob. 2PCh. 7 - In 1990, Walter Arfeuille of Belgium lifted a...Ch. 7 - The record number of boat lifts, including the...Ch. 7 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 7 - Spiderman, whose mass is 80.0 kg, is dangling on...Ch. 7 - Prob. 7PCh. 7 - Vector A has a magnitude of 5.00 units, and vector...Ch. 7 - Prob. 9PCh. 7 - Find the scalar product of the vectors in Figure...Ch. 7 - Prob. 11PCh. 7 - Using the definition of the scalar product, find...Ch. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - A particle is subject to a force Fx that varies...Ch. 7 - In a control system, an accelerometer consists of...Ch. 7 - When a 4.00-kg object is hung vertically on a...Ch. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - A small particle of mass m is pulled to the top of...Ch. 7 - The force acting on a particle is Fx = (8x 16),...Ch. 7 - When different loads hang on a spring, the spring...Ch. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Review. The graph in Figure P7.20 specifies a...Ch. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - A 0.600-kg particle has a speed of 2.00 m/s at...Ch. 7 - A 4.00-kg particle is subject to a net force that...Ch. 7 - A 2 100-kg pile driver is used to drive a steel...Ch. 7 - Review. In an electron microscope, there is an...Ch. 7 - Review. You can think of the workkinetic energy...Ch. 7 - Prob. 38PCh. 7 - Review. A 5.75-kg object passes through the origin...Ch. 7 - A 1 000-kg roller coaster car is initially at the...Ch. 7 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 7 - Prob. 42PCh. 7 - A 4.00-kg particle moves from the origin to...Ch. 7 - Prob. 44PCh. 7 - A force acting on a particle moving in the xy...Ch. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - For the potential energy curve shown in Figure...Ch. 7 - A right circular cone can theoretically be...Ch. 7 - The potential energy function for a system of...Ch. 7 - Prob. 55APCh. 7 - A particle moves along the xaxis from x = 12.8 m...Ch. 7 - Prob. 57APCh. 7 - Prob. 58APCh. 7 - Prob. 59APCh. 7 - Why is the following situation impossible? In a...Ch. 7 - Prob. 61APCh. 7 - Prob. 62APCh. 7 - An inclined plane of angle = 20.0 has a spring of...Ch. 7 - Prob. 64APCh. 7 - Prob. 65APCh. 7 - A particle of mass m = 1.18 kg is attached between...Ch. 7 - Prob. 67CP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Order of Magnitude Estimate. Mathematical Insight 1.3 defines order of magnitude estimates, and in the text we ...
The Cosmic Perspective (9th Edition)
What class of motion, natural or violent, did Aristotle attribute to motion of the Moon?
Conceptual Physics (12th Edition)
Choose the best answer to each of the following. Explain your reasoning. Which of these star clusters is oldest...
Cosmic Perspective Fundamentals
Choose the best answer to each of the following. Explain your reasoning. If Earth were twice as far as it actua...
The Cosmic Perspective Fundamentals (2nd Edition)
Separate the list P,F,V,,T,a,m,L,t, and V into intensive properties, extensive properties, and nonproperties.
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
1.19 [I] An ant walked 10.0 cm across the floor in 6.2 s. What was its average speed in m/s?
[Hint: 2 signi...
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A force of 40.0 N stretches a spring 20.0 cm. Find the spring constant (in .N/m). Show Working Equation with answer. Answer must be in metric units.arrow_forwardA spring suspended from a ceiling has a constant of 12 Ib/ft. An 8 Ib weight is placed on the spring, and when equilibrium is reached, the weight is raised 5 in. above the equilibrium position and dropped. Solve for the displacement (x) of the weight at any time (t). Type or paste an image of your solutions below:arrow_forwardA 28 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 9,400 N/m. (A.) By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.) I got the answer of 2.9 which I know is correct but the next part is where I have the issues. (B.) How much energy (in J) is stored in the spring under this circumstance? J.arrow_forward
- Computation. A spring is stretched 34.5 cm beyond its equilibrium length. How much energy has been transferred to the spring, if the spring constant is 86.8 N/cm? [Note the units!] E = J Record your numerical answer below assuming three significant figures. Remember to include a "-" if/when necessary. Searcharrow_forwardHooke's law can be used to describe how much force is needed to stretch a spring a certain distance. For a certain spring, this relationship can be modeled by y = 0.25x .The graph of this relationship is andarrow_forwardWrite an equation for the force constant of the spring in terms of the variables from the problem statement (m, d, and θ). Use g for the gravitational constant. (Neglect friction) (d = distance spring stretched)arrow_forward
- What is the minimum amount that the spring must be compressed if the car is to stay on the track? (answer in m)arrow_forwardPls help ASAP. Pls show all work and calculations and include units for final answers.arrow_forwardAn object is placed on the end of a vertical spring, with a spring constant of 484.1 N/m. The spring is stretched by 0.09 m. Calculate the mass of object.arrow_forward
- Now, calculate p. Again, -100000 means that we need further information. The parameters: •m = 300 grams • Yo = (equilibrium value) = 74 cm • k = (spring constant) = 0.01 N/cmarrow_forwardIf a spring constant of 174 N/m is stretched to a distance of 0.93m, what is the amount of force being placed on the spring at this distance to the nearest whole number? Give only the positive value for your answer(ignore the negative sign)arrow_forwardConsider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 m and is frictionless. B to C is a horizontal span 3.2 m long with a coefficient of kinetic friction μ = 0.26. The section CD under the spring is frictionless. A block of mass 1.0 kg is released from rest at A. After sliding on the track, it compresses the spring by 0.35 m. ( Figure 1) Figure m = 1.0 kg r = 2.0 m B D < 1 of 1 Part B Determine the thermal energy produced as the block slides from B to C. Express your answer to two significant figures and include the appropriate units. E = 7.4 Submit Part C _o ī μÁ X Incorrect; Try Again; 2 attempts remaining VC = Previous Answers Request Answer Determine the velocity of the block at point C. Express your answer to two significant figures and include the appropriate units. Submit Part D _O ■² μA Value Request Answer ? Units μA ? Determine the stiffness constant k for the spring. Express your answer to two significant figures and include the…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Work and Energy - Physics 101 / AP Physics 1 Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=rKwK06stPS8;License: Standard YouTube License, CC-BY