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A pump lifts 24.0 kg of water per minute through a height of 3.20 m. What is the power output of the pump?

A) 76.8 J/min
B) 120 W
C) 384 J/min
D) 240 W

User Barbarossa
by
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1 Answer

4 votes

Final answer:

The power output of the pump is approximately 120 Watts. Therefore, the correct answer is B) 120 W.

Step-by-step explanation:

Power is defined as the rate at which work is done or energy is transferred. In this case, the power output of the pump can be calculated using the formula:

Power = (force × distance) / time

The force exerted by the pump is the weight of the water lifted, which is given by the formula:

Force = mass × acceleration due to gravity

Substituting the given values into the equations, we have:

Force = 24.0 kg × 9.8 m/s2

Distance = 3.20 m

Time = 1 minute = 60 seconds

Plugging in the values, we can calculate the power:

Power = (24.0 kg × 9.8 m/s2 × 3.20 m) / 60 s ≈ 120 W

User Kaffee
by
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