A tank is filled with water upto a height$H$. Water is allowed to come out of a hole $P$ in one of the walls at a depth $h$ below the surface of water (see figure). Express the horizontal distance $X$ in terms of $H$ and $h$ [image:10_image56.emf]

Question

Dr. Abubacker · Accepted Answer

(c) Vertical distance covered by water before striking ground$= (H - h)$. Time taken is, $t = \sqrt{2(H - h)g}$; Horizontal velocity of water coming out of hole at $P,\ u = \sqrt{2gh}$
$	herefore$ Horizontal range
$= ut = \sqrt{2gh} = \sqrt{2(H - g)/g}$
$= 2\sqrt{h(H - h)}$

Q. A tank is filled with water upto a height$H$. Water is allowed to come out of a hole $P$ in one of the walls at a depth $h$ below the surface of water (see figure). Express the horizontal distance $X$ in terms of $H$ and $h$

Explanation

Reviewed by Dr. Abubacker

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