IsomI317598 IsomI317598
  • 25-10-2022
  • Physics
contestada

How long must a 400 W electrical engine work in order to produce 300 kJ of work?

Respuesta :

DerronJ209257 DerronJ209257
  • 25-10-2022

In order to calculate the time needed, let's use the formula below:

[tex]P=\frac{E}{t}[/tex]

Where P is the power in Watts, E is the energy/work in Joules and t is the time in seconds.

First, let's convert the energy from kJ to J (1 kJ = 1000 J):

[tex]300\text{ kJ}=300000\text{ J}[/tex]

So, for P = 400, we have:

[tex]\begin{gathered} 400=\frac{300000}{t} \\ t=\frac{300000}{400} \\ t=750\text{ s} \end{gathered}[/tex]

Therefore the time needed is 750 seconds.

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