Given data,
Mass,
[tex]m=56\text{ kg}[/tex]Acceleration,
[tex]a=3.5m/s^2[/tex]Spring constant,
[tex]k=2900\text{ N/m}[/tex]Acceleration due to gravity,
[tex]g=9.8m/s^2[/tex]Accelerating upward,
[tex]\begin{gathered} a^{\prime}=(a+g) \\ a^{\prime}=3.5m/s^2+9.8m/s^2 \\ a^{\prime}=13.3m/s^2 \end{gathered}[/tex]Comsider the formula for force.
[tex]\begin{gathered} F=kx \\ ma^{\prime}=kx \\ 56kg\times13.3m/s^2=2900\text{ N/m}\times x \\ x=25.68\text{ cm} \end{gathered}[/tex]Thus, the spring compression is 25.68 cm.
