Finding spring compression using PE

[emilykorth]

How do you do this? A block of mass m = 2.0 kg is dropped from height h = 55 cm onto a spring of spring constant k = 1960 N/m . Find the maximum distance the spring is compressed.
m

 

[jomoonrain]

the conservation law of energy:
the kinetic energy of the block=the potential energy at the beginning=1/2kx(square) with x the distance the spring is compressed