Answer:1.318 kN/m
Explanation:
Given
compression [tex]x=0.16 m[/tex]
mass of Plunger [tex]m=0.0540 kg[/tex]
Top speed [tex]v_{max}=25 m/s[/tex]
Conserving Energy
Elastic Potential Energy of spring stored converted in kinetic energy of Plunger
[tex]\frac{1}{2}kx^2=\frac{1}{2}mv^2[/tex]
[tex]k\times (0.16)^2=0.054\times 25^2[/tex]
[tex]k=1318.35 N/m[/tex]
