Question

Help with part c.32. A student conducts an experiment by applying a force to spring and then measuringthe stretch. The data is recorded in the data table below.a) On the graph provided below, provide a scale for thethe horizontal axis "Elongation of Spring"b) Plot the data and create the best fit line c) Calculate the spring constant of the spring. Showyour work

Answer 1

Answer:

c) 60 N/m

Explanation:

The spring constant is equal to the slope of the line in the graph.

The slope can be calculated as:

$slope=\frac{F_2-F_1}{x_2-x_1}$

Where (x1, F1) and (x2, F2) are two points in the graph. So, replacing (x1, F1) by (0.1, 6.0) and (x2, F2) by (0.2, 12.0), we get:

$\text{slope}=\frac{12.0-6.0}{0.2-0.1}=\frac{6.0}{0.1}=60$

Therefore, the spring constant is 60 N/m