Question

How the graphical representation of spring force come ?

Answer 1

In an experiment, a student applied various forces to a spring and measured the spring's corresponding elogation. The table below shows his data.
$\begin{array}{cc}Force\left(newtons\right)& Elongation\left(meters\right)\\ 0& 0\\ 1.0& 0.30\\ 3.0& 0.67\\ 4.0& 1.00\\ 5.0& 1.30\\ 6.0& 1.50\end{array}$
Plot force versus elongation and draw the best - fit line. Then, using your graph, calculate the spring constant of the spring. [Show all work, including the equation and substitution with units.]

In a laboratory investigation, a student applied various downward forces to a vertical spring. The applied forces and the corresponding elongations of the spring from its equilibrium position
Construct a graph, marking an appropriate scale on the axis labeled" Force (N)",Plot the data points for force versus elongation. Draw the best fit line or curve. Then using your graph, calculate the spring [Show all work, including the equation and substitution with units.]
$\begin{array}{cc}Force\left(newtons\right)& Elongation\left(meters\right)\\ 0& 0\\ 0.5& 0.010\\ 1.0& 0.018\\ 1.5& 0.027\\ 2.0& 0.035\\ 2.5& 0.046\end{array}$
$K=50\frac{N}{M}$