A knife thrower throws a knife toward a $300$ g target that is sliding in her direction at a speed of $\backslash (2\mathrm{.}35\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ on a horizontal frictionless surface. She throws a $22\mathrm{.}5$ g knife at the target with a speed of $\backslash (35\mathrm{.}5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The target is stopped by the impact and the knife passes through the target. Determine the speed of the knife $($in $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash ))$ after passing through the target.

Establish the sign convention you wish to use and then try to write a statement of conservation of momentum that will allow you to determine the speed of the knife after passing through the target. $\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash )$

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