Question

Из колодца медленно выкачали с помощью насоса 0.5м^2 воды. Совершенная при этом минимальная работа равна 30000 Дж. Чему равна глубина колодца?

Answer 1

Видимо не 0,5^2, а 0,5^3 метров воды. Иными словами полкубометра.

РАбота равна FS.  F=mg  S=h  A=mgh

m=V*p (объем умножить на плотность). m= 0,5*1000=500 кг

h=A/mg=30000/5000=6м

Ответ: 6 м.

Answer 2

Calculation of the Depth of the Well

To calculate the depth of the well, we can use the formula for work done:

Work = Force x Distance

In this case, the work done is given as 30,000 J (joules), and the force is the weight of the water being lifted. The weight of the water can be calculated using the formula:

Weight = Mass x Gravity

The mass of the water can be calculated using its volume and density:

Mass = Volume x Density

Given that the volume of water pumped out is 0.5 m^3 (cubic meters), we can calculate the mass of the water. The density of water is approximately 1000 kg/m^3.

Let's calculate the mass of the water first:

Mass = Volume x Density = 0.5 m^3 x 1000 kg/m^3 = 500 kg

Now, we can calculate the weight of the water:

Weight = Mass x Gravity = 500 kg x 9.8 m/s^2 = 4900 N (newtons)

Finally, we can calculate the depth of the well using the formula for work done:

Work = Force x Distance

In this case, the force is the weight of the water (4900 N) and the distance is the depth of the well (unknown). Rearranging the formula, we get:

Distance = Work / Force = 30,000 J / 4900 N

Calculating this, we find:

Distance = 6.12 meters

Therefore, the depth of the well is approximately 6.12 meters.