# Graph a given record of force vs end location, for a certain spring, find its force constant. Develop F(x) and PE(x).

Not what you're looking for?

On a frictionless table, one end of a spring is fixed. A cord attached to the free end

pulls it along a meter scale beginning from 0. A record is made of the position of the free end, x, and the resisting force, F, exerted by the spring on the cord.

SEE ATTACHMENT #1 for the parameters and a record of F vs x, showing position x= .4 meter, and force by the spring, F= -16 nt. (Note that as the free end moves in +x direction the spring's force toward -x direction becomes more negative.)

PART a. Make a graph of F(x) from x=0 to x= .8 m. From your graph of F vs x, find the slope of the line. This slope is defined as the 'force constant', k, a property of the spring.

PART b. With the force constant, k, the slope of the line, express F(x), the force F as a function of x.

PART c. From the function F(x), calculate the force the spring would exert when the free end of the spring is at the 1.4 m mark.

PART d. Develop an equation expressing the potential energy contained in a spring whose free end was moved from 0 to Xf.

##### Purchase this Solution

##### Solution Preview

PART a.

<br>For the most benefit to you, make your graph of the data points, then SEE ATTACHMENT #2 to check your work.

<br>From the (x, F) coordinates of any two points on the straight line, (.2, -4) and (.8, -16) say, the slope is expressed by:

<br>(1) k =(F2 - F1)/(x2 - x1) = (-16 -[-4])/(.8 - .2) = -20 nt/m.

<br>PART b.

<br>From the general equation of a straight line, 'y= m x + b', or with variables x and F on this ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Basic Physics

This quiz will test your knowledge about basic Physics.