Question

For an ideal spring, which of the following best describe the slope of a force vs displacement graph ?

• A. the work done by the spring
• B. the amplitude
• C. the period
• D. the frequency.
• E. the spring constant

Answer 1

Answer: (E)

the spring constant

Hooke's law states that force needed to compress or extend a spring by some distance X is proportional to the distance by which it is compressed or stressed.

Mathematically, $F=kx$

where $k$ is the spring constant.

Thus the slope of the force vs displacement graph is $\frac{F}{x}=k$