A bullet of mass 
, travelling at speed 
, hits a block of mass
resting at the equilibrium position of a connected spring with
constant 
as shown above. The block is sitting on a frictionless
table (i.e. - ignore damping). Assume that the collision occurs at
. All answers below should be given in terms of 
,
although once you have defined a new quantity (e.g. 
) you can
express answers thereafter in terms of it instead.
a) What is the maximum displacement 
of the block?
b) What is the angular frequency 
of oscillation of the
combined bullet-block system?
c) What is the phase 
of the oscillator?
d) Write down 
.