Question

Calculate the force constant (in N/m) of its plunger's spring if you must compress it 0.160 m to drive the 0.0540 kg plunger to a top speed of 25.0 m/s.

Answer 1

Answer:1.318 kN/m

Explanation:

Given

compression $x=0.16 m$

mass of Plunger $m=0.0540 kg$

Top speed $v_{max}=25 m/s$

Conserving Energy

Elastic Potential Energy  of spring stored converted in kinetic energy of Plunger

$\frac{1}{2}kx^2=\frac{1}{2}mv^2$

$k\times (0.16)^2=0.054\times 25^2$

$k=1318.35 N/m$