Question

a tank of size 10m ×10m×10m is full of water and built on the ground if g=10 m/s2,the potential energy of the water in the tank is?who answers for them 100 points.

Answer 1

heya...!!!!

volume of tank = 10 × 10 × 10
=> 1000m³

we know that:-
mass = density × Volume

=> 10³m³ × 1000kg/m³

=> 10^6kg

now,

P.E = mgh

[ here height = 5m from the mid point of tank]

p.e = 10^6 × 10 × 5

=> 5 × 10^7 joule

Answer 2

Hi.

Here is your answer---

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Given---

Dimensions of the Tank = 10 × 10 × 10
   
 Volume of the Tank(Or Volume of the Water)  = 1000 m³.


We know the Density of the Water = 1000 kg/m³.

Using the Relations,
   Density = Mass/ Volume
     1000 = Mass/1000
     Mass = 10^6 Kg.

Since, The mass of the Body can be assumed at the center of mass which is at the Mid-point. Thus, height is also half of the Original Height, i.e. it is taken from the mid-point of the Tank.

Thus, Height(h) = 1/2 × 10
                         = 5 m.

For Potential Energy,

 Using the Formula,
   
      U = m × g × h.
          = 10^6 × 10 × 5
          = 5 × 10^7 J.

Thus, Potential Energy of the Water is 5 × 10^7 Joules.

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Hope it helps.

Have a nice day.