Consider four different oscillating systems, indexed using =1,2,3,4 . each system consists of a block of mass mi moving at speed on a frictionless surface while attached to an ideal, horizontally fixed spring with a force constant of . let x denote the displacement of the block from its equilibrium position. order the systems from largest total mechanical energy to smallest.

1) m1= 0.5kg k2=500 n/m amplitude a = 0.02 m

2)m2= 0.6kg k2=300 n/m v2= 1 m/s . when passing through equilibrium

3) m3= 1.2kg k3=400 n/m v3= 0.5 m/s . when passing through x= -0.01 m

4) m4= 2 kg k4=200 n/m v4= 0.2 m/s . when passing through x=-0.05 m