Question

Насос подає 1000 кг води на висоту 5 метрів. Яку роботу при цьому виконує насос? Написати відповідь в формі задачі

Answer 1

Problem:

A pump delivers 1000 kg of water to a height of 5 meters. What work does the pump perform?

Solution:

To find the work done by the pump, we can use the formula:

Work = Force × Distance

In this case, the force is equal to the weight of the water being lifted, and the distance is the height to which the water is lifted.

The weight of an object can be calculated using the formula:

Weight = Mass × Acceleration due to gravity

In this case, the mass of the water being lifted is given as 1000 kg. The acceleration due to gravity is approximately 9.8 m/s^2.

Let's calculate the weight of the water first:

Weight = 1000 kg × 9.8 m/s^2

Now, we can calculate the work done by the pump:

Work = Weight × Distance

Substituting the values we have:

Work = (1000 kg × 9.8 m/s^2) × 5 m

Calculating the above expression:

Work = 49000 kg·m^2/s^2

Therefore, the pump performs 49000 kg·m^2/s^2 of work.

Please note that the unit of work is Joules (J), which is equivalent to kg·m^2/s^2.

[[1]]