Answer to Question #299647 in Classical Mechanics for Mafydre

Question

5kg weight who mation is constrained by vertical guides is dropped from reit 0.5 m onto a vertically aligned spring whose stiffness is 10 Nm How fast is the weight travelling when the spring has been compressed by 50 mm

Answer 1

$mgh=\frac{kx^2}2+\frac{mv^2}2,$

$v=\sqrt{2gh-\frac{kx^2}m}=2.2~\frac ms.$