A closed cylinderical oil taker filled with oil of density p=800 `kgm^(-3)` has a stopper at the top. What is the acceleration, a in a horizontal direction, at which the stopper will come out if it can support a pressure `p=0.05` atm and the distance of the stopper is `l_(1)=0.1m` from one end and `l_(2)-1` m from the other end. Consider two cases:
(a) When the taken moves from `l_(1)` to `l_(2)` and (b) When the tanker moves from `l_(2)` to `l_(1)` .