Prblem $2/$ A$/2019/(14$Points$)$:

A $(90gm)$ bullet is fired horizontally with a velocity $)=(500\frac{m}{s}$ into $2kg$ wood block at $3\frac{m}{s}.$ The bullet come out from the block with a velocity of $(350\frac{m}{s}),$ and the block slides a distance of $4m$ before it stops. Find: a$)$ the coefficient of kinetic friction ${}_k,$ b$)$ the energy lost and $c)$ the fraction of energy lost in collision. and d$)$ if there is no friction the distance to stop,