A mass sits on the end of a spring and is at equilibrium.
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There are basic equations for collision problems. In elastic collisions
m1*v1_i + m2*v2_i = m1*v1_final + m2*v2_final
In inelastic collisions
m1*v1_i + m2*v2_i = (m1+m2)*v_f
In both types of problems kinetic energy in conserved and
m1*v1_i^2 + m2*v2_i^2 = m1*v1_final^2 + m2*v2_final^2
The Attempt at a Solution
The problem is to determine what type of collision is at hand. As far as attempting a solution, I can't really go any farther than this.