Question

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)?

Answer 1

Answer: 0.192 N/m

Step-by-step 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:

`Y=mX+b`

Where
`m=(Y_(2)-Y_(1))/(X_(2)-X_(1))` is the slope and
`b` is the point where the line intersects the Y-axis.

So, if the equation is:

`Y=0.192X+0.011`

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