Atank is full of water. find the work w required to pump the water out of the spout. (use 9.8 m/s2 for g. use 1000 kg/m3 as the weight density of water. assume that a = 4 m, b = 4 m, c = 9 m, and d = 4 m.)

W = 2038400 J

Explanation:

Let

water be Δx meters thick at the depth of x.

So it has volume(V) of 6x.Δx

Now we know that weight of the water is given by

W = ρgV

   =1000 x 9.8 x (6x.Δx)

It is also know that the water is lifted to a distance of (7-x)

Therefore, work done is

W =

   =

   =

   =

   = 58800 x 34.667

   = 2038400 J

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j