An oscillator of mass M is at rest in its equilibrium position in a potential V=21k(x−X)2 . A particle of mass m comes from right with speed u and collides completely inelastically with M and sticks to it. This process repeats every time the oscillator crosses its equilibrium position. The amplitude of oscillations after 13 collisions is: ( M=10 , m=5 , u=1 , k=1 ).
a. 21
b. 31
c. 32
d. 53