A $3\mathrm{.}00$ g bullet has a muzzle velocity of $300\frac{m}{s}$ when fired by a rifle with a weight of $20\mathrm{.}0$ N $.$

$($a$)$ Determine the recoil speed $($in $\frac{m}{s})$ of the rifle.

$\frac{m}{s}$

$($b$)$ If a marksman with a weight of $725$ N holds the rifle firmly against his shoulder, determine the recoil speed $($in $\frac{m}{s})$ of the shooter and rifle.

$\frac{m}{s}$

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