Question

A motor pumps 1000 kg water 10 m vertically upwards in 1 minute. Calculate its power.​

Answer 1

Ответ:

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Answer 2

Power is defined as the rate at which work is done or energy is transferred. In this case, the work being done is lifting the water vertically upwards.

The work done can be calculated using the formula:

Work = force x distance

In this case, the force is equal to the weight of the water being lifted. The weight of an object is equal to its mass multiplied by the acceleration due to gravity. The mass of the water is given as 1000 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.

Weight = mass x acceleration due to gravity = 1000 kg x 9.8 m/s^2 = 9800 N

The distance the water is lifted is given as 10 m.

Work = 9800 N x 10 m = 98000 J (joules)

Since power is the rate at which work is done, we need to calculate the time taken to lift the water. Given that the time is 1 minute, we need to convert it to seconds.

1 minute = 60 seconds

Now we can calculate the power using the formula:

Power = work / time

Power = 98000 J / 60 s = 1633.33 W (watts)

Therefore, the power of the motor is approximately 1633.33 watts.