How much power does a water pump exert lifting 30 kg of water at a constant velocity 20 m each second

F = m*g = 30kg * 9.8N/kg = 294 N.

P=F*V = 294 * 20=5880 Joules/s=5880 Watts.

To determine the power exerted by a water pump, we need to know the following:

1. The work done by the pump to lift the water.
2. The time it takes to lift the water.

From the information provided, we can calculate the work done and then use it to determine the power.

1. Calculate the work done:
The work done (W) is given by the formula:
W = force × distance

The force required to lift the water is equal to its weight, which can be calculated using the formula:
Force = mass × acceleration due to gravity
Force = 30 kg × 9.8 m/s²
Force = 294 N

The distance the water is lifted is given as 20 m.

Therefore, the work done by the water pump is:
W = 294 N × 20 m
W = 5880 N·m (or Joules)

2. Calculate the power:
Power is defined as the work done per unit time, given by the formula:
Power = work / time

We're not given the time it takes to lift the water, so we cannot calculate the power accurately without this information. If you provide the time, I can help you calculate the power using the above formula.

To calculate the power exerted by a water pump, we'll need to use the formula for power:

Power = Force × Velocity

First, let's calculate the force needed to lift the water. The force required to lift an object is equal to its mass multiplied by the acceleration due to gravity.

Force = Mass × Acceleration due to gravity

The mass of the water is given as 30 kg, and the acceleration due to gravity is approximately 9.8 m/s².

Force = 30 kg × 9.8 m/s² = 294 N

Now, we know the force and the velocity at which the water is lifted (20 m/s). We can calculate the power.

Power = Force × Velocity
= 294 N × 20 m/s
= 5880 N·m/s

And since power is given in Watts (W), we can convert from N·m/s to Watts by using the conversion factor:

1 Watt = 1 N·m/s

Therefore, the power exerted by the water pump is approximately 5880 Watts (or 5.88 kilowatts).