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A crane takes 2.0 minutes to lift a load to the top of a building. The change in gravitational potential energy of the load is 360kJ.

What is the useful power output of the crane?

A. 3.0kW

B. 180kW

C. 720kW

D. 43,200kW

Respuesta :

Answer:

The answer is option A

Explanation:

why?

because to get the power, you need this equation. P= Work done/Time taken.

the unit of time are seconds, and the unit of work is kJ. So, the equation is=

360kJ/120s = 3kW

Lanuel

The useful power output of the crane is: A. 3.0 kW.

Given the following data:

  • Time = 2 minutes
  • Gravitational potential energy = 360 kJ = 360,000 J.

To find the useful power output of the crane:

First of all, we would convert the time in minutes to seconds.

Conversion:

1 minutes = 60 seconds

2 minutes = 120 seconds.

360 kJ = 360,000 Joules.

Mathematically, the power output of a device is given by the formula;

[tex]Power = \frac{Energy}{Time} \\\\Power = \frac{360,000}{120}[/tex]

Power output = 3000 Watts

In kilowatts, power output = 3.0 kW

Therefore, the useful power output of the crane is 3.0 kW.

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