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

Step-by-step 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

`(1)/(2)kx^2=(1)/(2)mv^2`

`k* (0.16)^2=0.054* 25^2`

`k=1318.35 N/m`