SF-2 The force required to stretch (elongate) a spring is shown in the graph to the right. a) Find the spring constant K for this spring. b) The work required to stretch the spring an infinitesimal distance dx is given by: dWk-Fdx where F-Kx. Do the integral to find an expression for the work required to stretch the spring from elongation x₁ to elongation X2. c) Find the work in joules to stretch the spring 5.00cm from its unloaded length. d) Find the work in joules to stretch the spring from x₁=5.00cm to X2=10.00cm. Force (N) 45 40 35 30 25 20 15 10 5 0 0 1 2 3 4 5 6 7 8 Spring Elongation, x 9 10 (cm)

SF-2 The force required to stretch (elongate) a spring is shown in the graph to the right. a) Find the spring constant K for this spring. b) The work required to stretch the spring an infinitesimal distance dx is given by: dWk-Fdx where F-Kx. Do the integral to find an expression for the work required to stretch the spring from elongation x₁ to elongation X2. c) Find the work in joules to stretch the spring 5.00cm from its unloaded length. d) Find the work in joules to stretch the spring from x₁=5.00cm to X2=10.00cm. Force (N) 45 40 35 30 25 20 15 10 5 0 0 1 2 3 4 5 6 7 8 Spring Elongation, x 9 10 (cm)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Spring Work from displacement and constant

Q: 1) Based on your answer above, create a calculated column(USED THE TABLE PROVIDED BELOW) in your…

A: Plotting the data v^2 vs h

Q: Calculate the work done on the suitcase by F. Express your answer with the appropriate units. A…

A: As per guidelines only 3 subparts are solved here.

Q: How much work is done by the force as the object moves from x = 0 to x = 2.0 m? Express your answer…

Q: Work 1. How much work is done by a girl weighing 500 N when climbing 5.0m up a rope in the school…

Q: A 50 kg block is pulled up by a tensile force a 175 N and pushed up by a force F-200 N both applied…

Q: Part (a) Write an equation for the work done by gravity as a 100-kg object falls from a height R,…

Q: In the following scenarios, the velocity and acceleration vectors of a person are shown. a. Say…

A: To answer the question given above. We will answer the question combinedly. Kindly read the solution…

Q: please help me with all the parts on this problem, there are 2 parts attached as 2 screenshots

A: Given: Height of person (h) = 1.9 m. Mass of book (m) = 1.25 kg. Height of book raised by the person…

Q: In a closed system, mechanical energy is conserved. In this performance task, you will determine the…

A: Given information: The height of the ramp = H The length of the ramp = D The height to which the…

Q: C) Create a formula for the gravitational potential energy in each figure a and in figure b based on…

Q: A 900 kg roller coaster car starts from rest at point A, rolls down the track, goes around a loop…

Q: 0.4) by a A 100 N weight is pulled along a rough surface (μk horizontal force, F = 20 i + 30 j [N].…

A: We are given the force acting. We are also given the friction acting. We find the work done by each…

Q: How is work related to the time to walk and hurry up the stairs?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which of the following is true at the point where you reach the top of your jump on a trampoline? O…

A: First, we have to know the concept of conservation of energy.It says that energy can neither be…

Q: x + b b An engineer has modeled the magnitude of the elastic force of a bungee cord using the…

Q: A certain spring which obeys Hooke’s law has a force constant k 0f 60 Nm-1. a. Draw a graph of the…

Q: Problem 7: A skateboarder with mass m, = 36 kg is standing at the top of a ramp which is h, = 3.1 m…

A: Part (a) Given: The mass of the skateboarder is ms=36 kg. The height of the ramp is hy=3.1 m. The…

Q: By what factor should the velocity of an object change in order for its kinetic energy to triple?…

A: The energy of the object due to its motion is termed as the kinetic energy. It is generally measured…

Q: A particle is initially at point B. It is moving to the right, and its total energy is 4 J. Which of…

A: At a point, B particle possesses energy only in form of potential energy i.e equal to -2 joules…

Q: Performance Task In a closed system, mechanical energy is conserved. In this performance task, you…

A: here, in this task we have to find height h travelled by cart for given spring energy. for this we…

Q: A weight lifter lifts a 380-N set of weights from ground level to a position over his head, a…

Q: A. Suppose you lift a 15 kg box by a height of 1.0 m. How much work do you do in lifting the box?…

A: (a) The work done in lifting the box is

Q: 4. Consider this half-sphere water tank of radius 5 meters. Suppose that this tank is completely…

Q: The total energy of an object at rest 10 m above the ground on a building is 200 J. The object is…

A: Given , Total energy at 10m above the ground = 200 J Height ,h = 10m acceleration due to gravity, g…

Q: View 219% + Zoom Add Page text. ¶ ✓ Insert Click here to enter text. ⠀ ..l T ■ V Table Chart. Text…

A: Write the equation of the amount of work done by the spring.

Q: Newton's law of universal gravitation is represented by F= G* Mm/ T where F is the gravitational…

Q: 3. Suppose you lift a 20 kg box by a height of 1.0 m. a) How much work do you do in lifting the box?…

Q: Force (N) SF-2 The force required to stretch (elongate) a spring is shown in the graph to the right.…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

SF-2 The force required to stretch
(elongate) a spring is shown
in the graph to the right.
a) Find the spring constant K for
this spring.
b) The work required to stretch the
spring an infinitesimal distance
dx is given by: dWk-Fdx where
F-Kx. Do the integral to find an
expression for the work required
to stretch the spring from
elongation x₁ to elongation X2.
c) Find the work in joules to stretch
the spring 5.00cm from its
unloaded length.
d) Find the work in joules to stretch
the spring from x₁=5.00cm to
X₂=10.00cm.
Force (N)
45
40
35
30
25
20
15
10
5
0
0
1
Fond
2
3
4 5 6 7
Spring Elongation, x
8 9 10 (cm)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Conclusion

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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

Select each of the true statements belowA. The kinetic energy can be negative.B. If the Moon revolves around Earth in a perfectly circular orbit, then Earth does do work on the Moon.C. Spring A is stiffer than B (kA>kB) . A person must do more work on the block connected to spring A if both springs are ideal and the blocks are pulled by the same amount.D. The work a person must do to raise a box onto a platform does not depend on how fast it is raised.E. The kinetic energy of an object does not depend on the direction of the motion involved.F. Work can be done in the absence of motion.G. The gravitational force is a conservative force.H. The kinetic energy of an object depends on the reference frame of the observer. I would really appreciate an explanation as to why each option is true or false, so I am sure I understand.
A force given by (figure 1). Calculate the work done by this force acting on an object as it moves from x=0 to x=3m.
A 1400-kg elevator is lifted at a constant speed of 1.5 m/s through a height of 25 m. Part A How much work is done by the tension in the elevator cable? Express your answer to two significant figures and include appropriate units. ? Value Units Submit Request Answer Part B How much work is done by gravity? Express your answer to two significant figures and include appropriate units. HẢ ? Value Units
Please explain answers and include work. Please write the explanations and work out to make them easy to follow and understand.
Read the introduction to Tutorial 4 in the Tutorial Manual to help you answer the questions below. How do the base units of energy compare to the base units of work? Hint: use dimensional analysis using a fundamental principle such as the definition of work to determine units. same base units different base units Question 23 Imagine a system with a certain amount of kinetic energy. Which of the following systems would have a larger kinetic energy? Asystem with more mass but the same speed DA system with less mass but the same speed CLA system with the same mass but greater speed DA system with the same mass but smaller speed
Question has TWO parts Your answer needs to have 2 significant figure, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Part A - A 75 kg sprinter accelerates from 0 to 8.0 m/s in 5.0 s. What is the metabolic energy, in kJ (kiloJoules)? Part B - A 75 kg sprinter accelerates from 0 to 8.0 m/s in 5.0 s. What is the metabolic power, in kW (kiloWatts)?
Part A A spring of force constant 240.0 N/m and unstretched length 0.220 m is stretched by two forces, pulling in opposite directions at opposite ends of the spring, that increase to 15.0 N. How long will the spring now be? Express your answer in meters. V ΑΣφ m = 1 Submit Request Answer Part B How much work was required to stretch it that distance? Express your answer in joules.
A 110 Kg package is to be pushed down at constant speed on an inclined plane 4 meters long from the back of a truc meters above the ground. The coefficient of kinetic friction is equal to 0.45. A force (Fa) parallel to the inclined plane should be applied to hold back the box so that it is lowered at a constant speed. A. Draw the complete Free-Body Diagram B. Work done by Fa on the box C. Work done by friction on the
Part A How much work does it take to stretch a spring with k = 250 N/m 10 cm from equilibrium? Express your answer in joules. femplates Symbols undo redo reset keyboard shortcuts help W = J Submit Request Answer Part B How much work does it take to stretch the spring from 10 cm to 20 cm from equilibrium? Express your answer in joules. Templates Symbols undo redo reset keyboard shortcuts help W = J Submit Request Answer
I need help with this Work physics question.
Please the question correctly and clearly please
3) The meaning of the word "WORK" is quite different in physics from its everyday usage. Give an example of an action a person could do that "feels like work" but that does not involve any work as we've defined in this chapter. Support your reasoning with equations/data.