If you have a spring whose total length you have measured against the force applied. You obtain a line of best fit and find that this line contains the points (45 cm 25 N) and (65 cm 45 N). What is th?

Answer 1

To find the spring constant ( k ) using Hooke's Law, which states ( F = kx ), we can first calculate the change in force (( \Delta F )) and change in length (( \Delta x )) between the two points. The change in force is ( 45 , \text{N} - 25 , \text{N} = 20 , \text{N} ), and the change in length is ( 65 , \text{cm} - 45 , \text{cm} = 20 , \text{cm} = 0.2 , \text{m} ). Thus, the spring constant ( k ) is calculated as ( k = \frac{\Delta F}{\Delta x} = \frac{20 , \text{N}}{0.2 , \text{m}} = 100 , \text{N/m} ).