Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 17P
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
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1) Based on your answer above, create a calculated column(USED THE TABLE PROVIDED BELOW) in your data table so that you create a linear relationship. Use the linear regression tool to find the equation for your relationship. Write your equation in the space below, (HINT)
your equation should show velocity(v), as a function of release height(h), . So it should be of the form v(h)
2) Are your results consistent with the Work-Kinetic Energy Theory? Explain. (HINT) Recall the Work-Kinetic Energy Theory: W=K
Solve the problem. PROVIDE THE GIVEN, REQUIRED, EQUATION, SOLUTION, AND FINAL ANSWER
A spring of k = 1972 N/m loses its elasticity if stretched more than 45 cm. What is the mass of the heaviest object the spring can support without being damaged?
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.
Chapter 7 Solutions
Physics for Scientists and Engineers
Ch. 7.2 - Prob. 7.1QQCh. 7.2 - Figure 7.4 shows four situations in which a force...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 - A shopper in a supermarket pushes a cart with a...Ch. 7 - The record number of boat lifts, including the...
Ch. 7 - In 1990, Walter Arfeuille of Belgium lifted a...Ch. 7 - Spiderman, whose mass is 80.0 kg, is dangling on...Ch. 7 - Prob. 5PCh. 7 - Vector A has a magnitude of 5.00 units, and vector...Ch. 7 - Find the scalar product of the vectors in Figure...Ch. 7 - Using the definition of the scalar product, find...Ch. 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 - Express the units of the force constant of a...Ch. 7 - The tray dispenser in your cafeteria has broken...Ch. 7 - A light spring with force constant 3.85 N/m is...Ch. 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 - A 100-g bullet is fired from a rifle having a...Ch. 7 - (a) A force F=(4xi+3yj), where F is in newtons and...Ch. 7 - Review. The graph in Figure P7.20 specifies a...Ch. 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 - You are lying in your bedroom, resting after doing...Ch. 7 - Review. A 5.75-kg object passes through the origin...Ch. 7 - Review. A 7.80-g bullet moving at 575 m/s strikes...Ch. 7 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 7 - A 1 000-kg roller coaster car is initially at the...Ch. 7 - A 4.00-kg particle moves from the origin to...Ch. 7 - (a) Suppose a constant force acts on an object....Ch. 7 - A force acting on a particle moving in the xy...Ch. 7 - Why is the following situation impossible? A...Ch. 7 - A single conservative force acts on a 5.0-kg...Ch. 7 - A potential energy function for a system in which...Ch. 7 - Prob. 37PCh. 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 - You have a new internship, where you are helping...Ch. 7 - When an object is displaced by an amount x from...Ch. 7 - A particle moves along the xaxis from x = 12.8 m...Ch. 7 - Why is the following situation impossible? In a...Ch. 7 - Prob. 45APCh. 7 - (a) Take U = 5 for a system with a particle at...Ch. 7 - An inclined plane of angle = 20.0 has a spring of...Ch. 7 - An inclined plane of angle has a spring of force...Ch. 7 - Over the Christmas break, you are making some...Ch. 7 - A particle of mass m = 1.18 kg is attached between...
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
- Needs Complete typed solution with 100 % accuracy.arrow_forwardInclude Formulaarrow_forwardJum 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.arrow_forward
- If a force of 22 N stretches a spring 0.2 m beyond its natural length, how much work does it take to stretch the spring 1.5 m beyond its natural length? The amount of work done is J. (Simplify your answer.)arrow_forwardAnts have made a giant conical sand anthill of height 5 ft and radius 4 ft. If the sand used to build the anthill weighs approximately 100 lb/ft³, how much work did it take to 3 lift all the sand? For full credit, including a sketch of the relevant diagram, show all your work and include units in your answer.arrow_forwardA 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_forward
- A 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_forwardwhere k is a positive constant characterizing the stiffness of the spring. Compute the work required to expand the spring from its equilibrium position to length l.arrow_forwardA uniform chain 24 m long and with mass 26 kg is hanging from the top of a building 24 m high. If a bucket filled with cement of mass 55 kg is attached to the end of the chain, how much work is required to pull the bucket and chain to the top of the building? (Use g = 9.8 N/kg.) (Use decimal notation. Give your answer to one decimal place.) Jarrow_forward
- I need a complete answerarrow_forwardComputation. 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_forwardFor this question, you will need to show the work and submit the solution. Sending in only a solution will result in 0 (zero) points for this question. Using the density table provided in the directions or the density table in the unit's overview, find the following, to the nearest thousandth when appropriate. Remember to label units! Workers made a brick wall out of six-hundred fifty 12cm by 12 cm by 30 cm bricks. Find the total weight in kilograms of the wall. brick=2.1g/cm^3arrow_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