Question

A rectangular trough, 2.0 m long, 0.70 m wide, and 0.40 m deep, is completely full of water. One end of the trough has a small drain plug right at the bottom edge.When you pull the plug, at what speed does water emerge from the hole?

Answer 1

Answer:

speed does water emerge from the hole v= 2.8 m/sec

Explanation:

the depth of the  rectangular trough h = 0.40 m   full of water

Also, given One end of the trough has a small drain plug right at the bottom edge.

we have to find the speed does water emerge from the hole.

This can be done using law of conservation of energy

the potential energy of water will be converted into kinetic energy as

$\frac{1}{2}mv^2= mgh$

⇒$v= \sqrt{2gh}$

h= depth, g= acceleration due to gravity and v= velocity of water from the hole

plugging the values

$v= \sqrt{2\times9.81\times0.40}$

v= 2.8 m/sec