Question

A pump with a power out put of 600W raises water from a lak through a height of 3m and delivers if with a velocity of 6 m/s what mass of water is removed from the lake in one minute ?

Answer 1

Answer on Question 49668, Physics, Mechanics | Kinematics | Dynamics

Question:

A pump with a power out put of 600W raises water from a lake through a height of 3m and delivers it with a velocity of 6 m/s. What mass of water is removed from the lake in one minute?

Solution:

By the definition of power we have:

$$P = \frac {W}{t} = \frac {m g h}{t}.$$

From this formula we can obtain the mass of water removed from the lake in one minute:

$$m = \frac {P t}{g h} = \frac {6 0 0 W \cdot 6 0 s}{9 . 8 \frac {m}{s ^ {2}} \cdot 3 m} = 1 2 2 4. 5 k g.$$

Answer:

The mass of water removed from the lake in one minute is 1224.5kg.

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