$1)(30$ pts $)$ A $\backslash (30-\backslash$mathrm$\{$kg$\}\backslash )$ box $($Box A$)$ is sliding along a frictionless surface when it is struck by Box $\backslash ($ B $\backslash ),$ with a mass of $5$ kg $.$ The velocities of the boxes just before impact are shown below $($top view$).$ If the coefficient of restitution is $0\mathrm{.}7,$ determine the velocities of both boxes after impact $($magnitude and direction$)$ and the energy lost in impact.