A $65$ kg baseball player slides into third base. He starts his slide at a speed of $4\mathrm{.}3$ m$/$s$,$ and his speed is zero just as he reaches the base. If the coefficient of friction between his clothes and the surface of the baseball infield is $0\mathrm{.}60,$ determine the following.

$($a$)$

the mechanical energy lost $($in J$)$ due to friction acting on the player

J

$($b$)$

the distance $($in m$)$ he slides

m