Question

A force of $600$ newtons will compress a spring $0.5$ metres. What is the spring constant of the spring?

Answer 1

Step 1: Given data

Force (f) = $600N$

Displacement of the spring (x) = $0.5m$

Step 2: Formula used

According to Hooke's law, $F=kx$, where F is the force applied, k is the spring constant and x is the displacement of the spring.

Step 3: Calculate spring constant

We, know that $F=kx$, thus on re-arranging, we get:

$k=\frac{F}{x}$

On substituting the given values in the equation, we get:

$$\begin{gathered} k=\frac{600}{0.5} \\ =1200N/m \end{gathered}$$

Thus, the spring constant of the spring will be $1200N/m$.