A $27\mathrm{.}027\mathrm{.}0$ kg body is moving in the direction of the positive xx$-$axis with a speed of $391391$ m$/$s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is $9\mathrm{.}509\mathrm{.}50$ kg$,$ moves away from the point of explosion with a speed of $492492$ m$/$s along the positive yy$-$axis. A second fragment, whose mass is $4\mathrm{.}504\mathrm{.}50$ kg$,$ moves away from the point of explosion with a speed of $316316$ m$/$s along the negative xx$-$ axis.

bookmark$\_$border$1\mathrm{.}0$p$3$a

What is the speed of the third fragment in m$/$s$?$ Ignore effects due to gravity.

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bookmark$\_$border$1\mathrm{.}0$p$3$b

How much energy was released in the explosion? Give your answer in megajoules $($MJ$).$