Posted by **Kate** on Wednesday, October 17, 2007 at 2:50am.

Mere and Ruth investigated the relationship between the applied force, F, and the extension, x of a spring. The results they obtained are shown in the table below.

Force,

F (N) Extension,

x (m)

0.0 0.0

2.0 0.033

4.0 0.066

6.0 0.099

8.0 0.132

10.0 0.165

Draw a graph of force against extension using graph paper.

(b) State the type of relationship between force and extension.

(c) Calculate the gradient of the graph line. Show your working and give a unit with your answer.

(d) State the equation of the relationship between F and x.

(e) The spring constant is the force required per metre of extension of the spring (k =f/x). Use this formula and your equation to find the value of the spring constant of the spring. Show your working and give a unit with your answer.

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