$4).$ A $2$ kg block slides down a smooth ramp and impacts a $2$ kg block C $.$ The coefficient of restitution between all impacts is $0\mathrm{.}8.$ Ball C impacts a plate that has a mass of $10$ kg and is supported by a spring with stiffness of $\backslash (1500\backslash$mathrm$\{$n$\}/\backslash$mathrm$\{$m$\}\backslash ).$ Find: a$)$ speed of $\backslash ($ B $\backslash )$ before impact, b$)$ speed of $\backslash ($ B $\backslash )$ and $\backslash ($ C $\backslash )$ after impact, c$)$ velocities of ball C and plate immediately after the impact, d$)$ the maximum deflection of the spring. e$)$ how high does ball C go after the impact with the plate. Neglect deflection of spring initially.

BOX IN YOUR ANSWERS