An open rectangular tank $1m$ wide and $2m$ long contains gasoline $($specific gravity $=0\mathrm{.}8)$ to a depth of $1m,$ shown in Fig. P$6.$ If the height of the tank sides is $1\mathrm{.}5m,($a$)$ what is the maximum horizontal acceleration $($along the long axis of the tank$)$ that can develop before the gasoline would begin to spill? $($b$)$ what are the forces on the ends $(F_1$ and $F_2)$ under these conditions? $($c$)$ please check your answer using $F_1-F_2=ma(m$ : mass, $a$ : acceleration$).(15\%)$