Question

a spring compressed by 0.2m develops a restoring force of 25N. a body of mass 5kg is placed over it. deduce the force constant of the spring and the depression of the spring under the weight of the body.

Answer 1

Dear student

$$\begin{gathered} Giventhat \\ x=0.2m \\ F=25N \\ m=5kg \\ byF=-kx,takingmagnitudeonly \\ k=\frac{25}{0.2}=125N/m \\ Nowdepressionduetoweight \\ x\text{'}=\frac{Force}{k}=\frac{5kg\times 10m/s^2}{125N/m} \\ x\text{'}=0.4m \end{gathered}$$