Question

if water is flowing in a pipe with Speed 2 metre per second then its kinetic energy per unit volume is





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Answer 1

Answer:

Explanation:

K. E/v= 1/2mv*2 /v = 1/2mv

But, density = mass/volume

Therefore, mass= density ×volume

K. E/v=1/2mv=1/2×density×volume×vol

=1/2×1000×2×2

=2000J/m*3

(Note : density =1×10*3kg/m*3)

Answer 2

The kinetic energy per unit volume is  $2,000 \dfrac{J}{m^{3}}$.

Explanation:

Given,

Speed = 2 $\dfrac{m}{s}$. Density of water = 1000 $\dfrac{kg}{m^{3}}$

To find,  kinetic energy per unit volume($\dfrac{K.E.}{V}$) = ?

We know that,

Kinetic Energy(K.E.) = $\dfrac{1}{2} \times m V^{2}$

And,

Density = $\dfrac{Mass}{Volume}$

∴ $\dfrac{KE}{V}$ =$\dfrac{1}{2}$ × Density × Volume × Volume

= $\dfrac{1}{2} \times 1000 \times 2 \times 2$

= 2,000 $\dfrac{J}{m^{3}}$

Hence, the kinetic energy per unit volume is  $2,000 \dfrac{J}{m^{3}}$.