A water tank is designed such that its section in XY-plane can be described by $y=x^n,$ considering origin at its bottom, which has a small orifice of cross-sectional area a. Value of n is chosen such that, $\frac{dh}{dt}$ does not depend on h. Also, if h is maintained constant by replenishing lost water by a source from top, velocity of efflux also becomes constant equal to v. If the ejecting jet (almost horizontal) strikes surface of a block on smooth horizontal surface (initially at rest), the block begins to accelerate and the, maximum power delivered to the block is $\frac{\rho a{v}^3}{x}$ during subsequent motion. Here, $\rho$  is density of water. Assume that the water instantly comes to rest after it strikes the block’s surface.