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Kinetic Energy

A liquid of s...

Question

A liquid of specific gravity $0.8$ is flowing in a pipe line with a speed of $2$ m/s. The kinetic energy per cubic meter is:

160 J

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1600 J

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160.5 J

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1.6 J

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Solution

The correct option is B $1600 J$
A $c u b i c m e t e r$ is a cube of $1 m \times 1 m \times 1 m$ .
Converting to $c e n t i m e t e r s$ , this gives $100 c m \times 100 c m \times 100 c m$ .
Therefore the volume of the cube in $c u b i c c m$ is $1000000$ $c m^{3}$
$1 l i t r e = 1000$ $c m^{3}$
So, volume of the cube in $l i t r e s$ is $\frac{1000000}{1000}$ $= 1000 l i t r e$
Now, specific gravity of given liquid $0.8$
Therefore the mass of the water is $800 k g$
( $m a s s = v o l u m e \times s p . g r a v i t y$ )

Mass of $1 m^{3}$ of water $= 800 k g$

Therefore, $K . E = \frac{1}{2} m v^{2}$

$= \frac{1}{2} \times 800 \times 4$

$= 1600 J$

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