You perform the Hooke's Law experiment and create a plot of Displacement vs. Force. You add a linear fit and find the following equation for the line: 0.192 0.011 What is the spring constant, k (in N/m or kg/s2)?

Respuesta :

Answer: 0.192 N/m

Explanation:

Well, generally when a Hooke's Law experiment is performed the plot is in fact Force vs Displacement, being the Force (in units of Newtons) in the Y-axis and the Displacement (in units of meters) in the X-axis.

In addition, if we add a linear fit the resultant equation will be the Line equation of the form:

[tex]Y=mX+b[/tex]

Where [tex]m=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] is the slope and [tex]b[/tex] is the point where the line intersects the Y-axis.

So, if the equation is:

[tex]Y=0.192X+0.011[/tex]

The slope of this line is [tex]0.192 N/m[/tex] which is also the spring constant [tex]k[/tex].