Question

Okay, I know I am over thinking this, how do I get two equations since I have 2 unknowns in this problem?

Answer 1

1/
calculate the spring energy at \(t_o\)

2/
recognise that momentum requires that the bodies must at all times observe \(m_av_v + m_bv_b = 0\)

Answer 2

but wouldn't it be
\[1/2*k(x)^{2}=m _{A}v_{1}+m_{B}v_{2}\]

Answer 3

\[\Delta W= -\Delta U_{s}\]
\[-(\frac{ 1 }{ 2}kx _{f}^2-\frac{ 1 }{ 2 }kx _{i}^2)=(\frac{ 1 }{ 2 }mv _{f}^2-\frac{ 1 }{ 2 }mv _{i}^2)\]