An open tank of cross sectional area A contains water up to height H. It is kept on a smooth horizontal surface. A small orifice of area `A_(0)` is punched at the bottom of the wall of the tank. Water begins to drainout. Mass of the empty tank may be neglected.
(i) Prove that the tank will move with a constant acceleration till it is emptied. Find this acceleration.
(iii) Find the find speed acquired by the tank when it is completely empty.

Answer

(i) `(2A_(0)g)/(A)` (ii) `V=2sqrt(2gH)`