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10 Nov 2019

Please explain in detail how to do this?

A spring has k = 88 N/m. Use a graph to determine the work neededto stretch it from x = 3.5 cm to x = 5.5 cm, where x is thedisplacement from its unstretched length.
I know that the answer below is wrong because the program I amusing tells me when I get it right.

S=k*4e-2*?d/2=0.035(J)

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Nestor Rutherford
Nestor RutherfordLv2
20 Jul 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A spring has k = 88 N/m. Use a graph to determine the work needed to stretch it from x = 3.7 cm to x = 4.7 cm, where x is the displacement from its unstretched length.

The block in the figure below lies on a horizontal frictionlesssurface and is attached to the free end of the spring, with aspring constant of 35 N/m. Initially, the spring is at its relaxedlength and the block is stationary at position x = 0. Then anapplied force with a constant magnitude of 3.4 N pulls the block inthe positive direction of the x axis, stretching the spring untilthe block stops.
Assume that the stopping point is reached.

http://www.webassign.net/hrw/7-10a.gif

(a) What is the position of the block?

( for this I worked out an equation from the worknet =Ke formula. Iused an anti derivative to find the spring force into the equationand then i came out with an equation

Fx - (k(x^2/2)= KEf

I know i am supposed to get the x by itself but i have no ideahow.

and I already tried f=kx to x=f/k, to get a number that is .0678which was way off can anyone help me outon this problem I amstumped

(b) What is the work that has been done on the block by the appliedforce?

(c) What is the work that has been done on the block by the springforce?

During the block's displacement, find the following values.
(d) The block's position when its kinetic energy is maximum.

e) The value of that maximum kinetic energy.

A cylinder A, having Va = 30 litres of an ideal monoatmoicgas, is connected to a second cylinder, B, of circularcross-section, as shown in Fig. 3.16 of the book(shown below).Cylinder B is fitted with a piston of diameter 10 cm, which slideswithout friction or leaking. Initially: Pa = 10 MPa, Ta = 300 K, Vb= 0, and the compression force on the spring is zero. The springobeys Hooke's law and has a stiffness k = 10^5 Nm^-1. Remember thatthe work done by such a spring is: Wspring = -k(Xf^2 - Xo^2)/2,with x = 0 the equilibruim position of the spring.
The valve, V, is opened slowly and the gas leaks through fromA to B, compressing the spring. Equilibrium is eventuallyestablished again at a temperature of 300 K throughout all parts ofthe system.
(a) Calculate the distance by which the spring is compressedin the final equilibrium state.
(b) Determine the work done on the gas.
(c) Calculate the total heat transferred to the gas duringthis process.
Consider now there is an externally applied force holding thepiston hard against the left-hand side of volume B while the valveis opened fully. The external force is then gradually reducedallowing the piston to move slowly while the gas expandsisothermally, compressing the spring.
(d) Calculate the amount by which the spring is ultimatelycompressed.
(e) Establish the work of compression of the spring and thework done by the externally applied force.
(f) Determine the heat transferred to the gas during thisprocess.
WHAT I KNOW:
The back of the book provides all the answers but does notexplain how to get them.
it lists:
(a) .6684 m
(b) -22.34 kJ
(c) 22.34 kJ
(d) .6684 m
(e) 22.34 kJ (on spring), -48.38 kJ (on gas), and 26.04 (extforce)
(f) 48.38 kJ
I understand the answers for b and c given a - since thechange in energy is 0 so W = -Q. and putting in .6684 so Xf and 0for Xo into the Wspring equation you get the 22.34 kJ answer.
I can't however find how to calculate the compression. I haveused PV=NRT and manipulated it to high heaven and just cant getit.
Parts d through f I havn't touched since I havn't been able tofind a

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