Force (N) SF-2 The force required to stretch (elongate) a spring is shown in the graph to the right. 45 40 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 x, 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. 35 30 25 20 15 10 9 10 (cm) 6. Spring Elongation, x 0 1 2 3 4 7

Force (N) SF-2 The force required to stretch (elongate) a spring is shown in the graph to the right. 45 40 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 x, 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. 35 30 25 20 15 10 9 10 (cm) 6. Spring Elongation, x 0 1 2 3 4 7

Name: Force (N)SF-2 The force required to stretch(elongate) a spring is sho
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: Force (N)SF-2 The force required to stretch(elongate) a spring is shownin the graph to the right.4540a) Find the spring constant K forthis spring.b) The work required to stretch the-spring an infinitesimal distancedx is given by: dWk=Fdx whereF=Kx.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 17P: When a 4.00-kg object is hung vertically on a certain light spring that obeys Hookes law, the spring...

See similar textbooks

Similar questions

Consider a particle on which several forces act, one of which is known to be constant in time: . As a result, the particle moves along the x-axis from x=0 to x=5 m in some time interval. What is the work done by ?
“ E=K+Uconstant is a special case of the work energy theorem.” Discuss this statement.
At hokey puck of mass 0.17 kg is shot across a rough floor with the roughness different at different places, which can be described by a position-dependent coefficient of kinetic friction. For a puck moving along the x-axis, the coefficient of kinetic friction is the following function of x, where x is in m: (x)=0.1+0.05x . Find the work done by the kinetic frictional forte on the hockey puck when it h moved (a) from x=0 to x=2 m, and (b) from x=2 m to x=4 m.
A 5.0-kg box rests on a horizontal surface. The coefficient of kinetic friction between the box and surface is K=0.50 . A horizontal force pulls the box at constant velocity for 10 cm. Find the work done by (a) the applied horizontal force, (b) the frictional force, and (c) the net force.
Give an example of a situation in which there is a force and a displacement, but the force does no work. Explain why it does no work.
Consider a particle on which several forces act, one of which is known to be constant in time: . As a result, the particle moves along the x-axis from x=0 to x=5 m and then parallel to the y-axis from y=0 to y=6 m. What is the work done by ?
Suppose that the sled plus passenger of the preceding problem is pushed 20 m across the snow at constant velocity by a force directed 30 below the horizontal. Calculate (a) the work of the applied force, (b) the work of fiction, and (c) the total work.
Give an example of a situation in which there is a force and a displacement, but the force does no work. Explain why it does no work.
Two bodies are interacting by a conservative force Show that the mechanical energy of an isolated system consisting of two bodies interacting with a conservative force is conserved. (Hint: Start by using Newton’s third law and the definition of work to find the work done on each body by the conservative force.)
A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant vanes over its stretch [see Menz, P.G. “The Physics of Bungee Jumping.” The Physics Teacher (November 1993) 31: 483-487]. Take the length of the cord to be along the direction and define the stretch as the length of the cord minus its un-stretched length that is, (see below). Suppose a particular bungee cord has a spring constant, for of and for. (Recall that the of (Recall that the spring constant is the slope of the force versus its stretch (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)? (b) How much work must be done against the elastic force of the bungee cord to stretch It 16.7 m? Figure 7.16 (credit modification of work by Graeme Churchard)
Consider a particle on which several forces act, one of which is known to be constant in time: . As a result, the particle moves along a straight path from a Cartesian coordinate of (0m,0m) to (5m,6m) . What is the work done by ?
When a 3.0-kg block is pushed against a massless spring of force constant constant 4.5103N/m , the spring is compressed 8.0 cm. The block is released, and it slides 2.0 m (from the point at which it is released) across a horizontal surface before friction stops it. What is the coefficient of kinetic friction between the block and the surface?