From the flooded basement, the floor area of which is 50 m2, it is required to pump out water onto the pavement.

From the flooded basement, the floor area of which is 50 m2, it is required to pump out water onto the pavement. The depth of the water in the basement is 1 m, and the distance from the water level in the basement to the level of the pavement is 2 m. Determine the work that needs to be done to pump out the water.

Given:

S = 50 square meters – basement area flooded with water;

h1 = 1 meter – water depth;

h2 = 2 meters – distance from the water level to the pavement;

g = 10 m / s ^ 2 – acceleration of gravity;

ro = 1000 kg / m ^ 3 is the density of water.

It is required to determine the work A (Joule), which must be done to pump water from the basement to the pavement.

Let’s find the force of gravity acting on the water:

F = m * g = ro * V * g = ro * S * h1 * g = 1000 * 50 * 1 * 10 = 1000 * 500 = 500000 Newtons.

Since water will be pumped out from the lowest level, the total height to which

you need to raise the water is equal to:

h = h1 + h2 = 1 + 2 = 3 meters.

Then the work will be equal to:

A = F * h = 500,000 * 3 = 1,500,000 Joules = 1.5 MJ.

Answer: it is necessary to perform work equal to 1.5 MJ.