Answer:
If \[{{\upsilon }_{1}}\] and \[{{\upsilon }_{2}}\] are the velocities of two bodies having masses \[{{m}_{1}}\] and \[{{m}_{2}}\]respectively, then \[{{m}_{1}}{{\upsilon }_{1}}={{m}_{2}}{{\upsilon }_{2}}\] or \[m_{1}^{2}\upsilon _{1}^{2}=m_{2}^{2}\upsilon _{2}^{2}\] or \[\frac{{{m}_{1}}\upsilon _{1}^{2}}{{{m}_{2}}\upsilon _{2}^{2}}=\frac{{{m}_{2}}}{{{m}_{1}}}\] or \[\frac{({{m}_{1}}\upsilon _{1}^{2}/2)}{({{m}_{2}}\upsilon _{2}^{2}/2)}=\frac{{{m}_{2}}}{{{m}_{1}}}\] or \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}\]
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