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)...

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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)

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