If the water falls from a dam into a turbine | vedclass

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Question

(B) According to the law of conservation of mechanical energy,the potential energy of the water at the top of the dam is converted into kinetic energy

Vedclass · Accepted Answer

$19.6$

Vedclass · Answer

(B) According to the law of conservation of mechanical energy,the potential energy of the water at the top of the dam is converted into kinetic energy at the turbine.$PE_{top} = KE_{bottom}$$mgh = \frac{1}{2}mv^2$By canceling the mass $m$ from both sides,we get:$v^2 = 2gh$$v = \sqrt{2gh}$Substituting the given values $g = 9.8\, m/s^2$ and $h = 19.6\, m$:$v = \sqrt{2 	imes 9.8 	imes 19.6}$$v = \sqrt{19.6 	imes 19.6}$$v = 19.6\, m/s$Therefore,the velocity of the water at the turbine is $19.6\, m/s$.

If the water falls from a dam into a turbine wheel $19.6\, m$ below,then the velocity of water at the turbine is ............. $m/s$ $(g = 9.8\,m/s^2)$.

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